The Chronicles of Fractional Calculus
-
J.A.Tenreiro Machado
and
Virginia Kiryakova
Abstract
Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the scientific arena. This survey analyzes and measures the evolution that occurred during the last five decades in the light of books, journals and conferences dedicated to the theory and applications of this mathematical tool, dealing with operations of integration and differentiation of arbitrary (fractional) order and their generalizations.
1 Introduction
Fractional Calculus (FC) started with the ideas of Gottfried Leibniz by the end of the XVII century and had been developed progressively up to now. During the recent decades FC, as an extension of the classical Calculus, attracted the attention of many researchers in several areas, namely mathematics, physics, engineering, biology, finance, economy, chemistry and social sciences. The reason is that the differential and integral equations and dynamical systems of fractional order can model mathematically the phenomena of Nature and Society more adequately than these restricted to integer order.
The evolution of FC was analyzed in several survey papers and round tables discussions [103, 104, 105, 101, 102, 107, 108] revealing a considerable and sustained progress. Therefore, it is important to collect the most recent information not only to keep a precise record, but also to monitor the present day development. Bearing these ideas is mind, this survey intends to highlight the major documents and events in the area of FC that took place since 1974 up to the present year of 2017. Some preliminary information already available for years 2017 and 2018 is also included.
The lists of information as those assembled in this paper, can never be complete. Moreover, there must be selective decisions. Therefore, we apologize for any possible omissions. On the other hand, we do not give any judgment on the references and we limit ourselves to simple citations.
The paper is organized as follows. Section [2] lists the books edited and books with author(s) addressing FC. Section [3] reports list of conferences that were (or are planned soon) devoted, entirely or partly, to FC. Section [4] contains a list of journals specially dedicated to FC.
2 Books published on Fractional Calculus
In this section we collect the books with author (monographs) and books with editor (collected papers, proceedings) published since the 60s of 20th century. Their list is presented in Table 1, in accordance to References list. At the present date the authors are aware of some works in press for the end of 2016, also for 2017 and 2018. Therefore, those works are also included.
The evolution of FC under the light of indices such as number of published books with author and books edited may be discussible as any other measure of scientific and technological progress, see e.g. [96]. Yet, the data collected and represented in Figure 1 are unequivocal.
3 Conferences devoted to Fractional Calculus
In this section, in Tables 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13, we list the conferences dedicated, entirely or partly (with special sessions), to FC during the last decades. We have included also some information that is already available for years 2017 and 2018.
4 Journals specialized in Fractional Calculus
Finally, we mention a list of journals specialized in FC, in order of their appearance. Since their names are somewhat similar, to distinguish, it is important always to refer / cite by exact wording and abbreviations.
Journal of Fractional Calculus (JFC); ISSN 0918-5402; Publisher: Descartes Press, Japan; Ed.-in-Chief: Katsuyuki Nishimoto (Japan); Starting year: Vol. 1 (1992), info available for Vol. 21-24 (2002), next information n/a at Internet.
Fractional Calculus and Applied Analysis (FCAA); ISSN: 1311-0454 (print), ISSN: 1314-2224 (online); Publishers: Institute of Math. and Inform. - Bulg. Acad. Sci. (1998-2010), Versita and Springer (2011-2014), De Gruyter (since 2015); Website (current): http://www.degruyter.com/view/j/fca; Ed.-in-Chief: Virginia Kiryakova (Bulg. Acad. Sci., Bulgaria); Starting year: Vol. 1 (1998), current Vol. 20 (2017); 6 issues/ year; Abstracting & Indexing: Thomson Reuters - JCR, SCI (JIF=2.974 / 2.245/ 2.246), Elsevier - Scopus, SCImago (SJR=2.106 / 1.433/ 1.602).
Communications in Fractional Calculus (CFC); ISSN: 2218-3892; Publisher: Asian Academic Publisher Ltd, China; Website was: http://www.nonlinearscience.com/journal_2218-3892.php (now n/a), some current available traces: http://en.journals.sid.ir/JournalList.aspx?ID=24970, http://blog.sciencenet.cn/blog-298018-343352.html; Editor: Lan Xu; Starting year: Vol. 1 (2010), next information n/a.
Fractional Differential Calculus (FDC, earlier: Fractional Differential Equations); ISSN: 1847-9677; Publisher: Ele-Math (Element d.o.o.), Croatia; Website: http://fdc.ele-math.com/submission; Current Eds.-in-Chief: Mokhtar Kirane (Univ. de La Rochelle, France), Josip Pečarić (Univ. of Zagreb, Croatia), Sabir Umarov (Univ. of New Haven, USA); Starting year: Vol. 1 (2011), current Vol. 7 (2017); 2 issues / year.
Journal of Fractional Calculus and Applications (JFCA); ISSN: 2090-584X (print), ISSN; 2090-5858 (print); Publisher: South Valley University, Egypt; Website: http://fcag-egypt.com/journals/jfca/; Managing Eds: A.M.A. El-Sayed (Alexandria University, Egypt), S.Z. Rida (South Valley University, Egypt); Starting year: Vol. 1 (2011), current Vol. 8 (2017); 2 issues / year; Abstracting and Indexing: see at http://fcag-egypt.com/journals/jfca/Abstracting_and_Indexing.php.
Progress in Fractional Differentiation and Applications (PFDA); ISSN 2356-9336 (print), ISSN 2356-9344 (online); Publisher: Natural Sciences Publ., USA; Website: http://naturalspublishing.com/show.asp?JorID=48&pgid=0; Ed.-in-Chief: Dumitru Baleanu (Çankaya University, Turkey); Starting year: Vol. 1 (2015), current Vol. 3 (2017); 4 issues / year.
Electronic Newsletter “FDA Express” (Fractional Derivative and Applications Express) distributed monthly by e-mail and available online; Publisher: Institute of Soft Matter Mechanics, Hohai University, China; Website: http://em.hhu.edu.cn/fda/; Editor: Wen Chen, Team: Hongguang Sun, Guofei Pang, Xindong Hei, Yingjie Liang and Lin Chen (China); Starting year: Vol. 1 (2011), current Vol. 22 (2017); 3 vols (12 issues) / year.
Special thanks are due to Editors of this Newsletter, for dissemination the topics of FC, timely announcing recent publications and events in the area, in favor of the FC community.
Several special and topical issues of many other prestigious journals are dedicated to the topic of FC and its applications.
Also, there are many websites and blogs created by colleagues fond of FC, where useful information, files, links, etc. are available.
More details on some special issues of journals, courses, tutorials, resources from Matlab, Wolfram MathWorld, other packages on computational aspects for FC, patents, etc., have been provided in our previous survey of 2011, [105].
Since 2010, the MSC includes besides 26A33, many new positions for fractional calculus and related areas, as:
30C45, 30E15, 31C60, 33C60, 33E12, 33E30, 34A08, 34A25, 34K37, 35R11, 42A45, 42C10, 44A20, 44A35, 44A40, 45E10, 60G22, 93B60, 93D06, etc.
Number of books with author and with editor versus year, during the period 1965-2016.
According to the information collected in Figure 1 and Table 1, there are currently at least 167 books with author(s) and 38 edited books, or more than 205 books on the topics related to Fractional Calculus.
On next page it is exposed:
Published books with author and with editor since the 60s.
| Year | Books with author | Books with editor |
|---|---|---|
| 1960-1979 | [48, 179, 32, 120, 143, 164, 121, 180, 124] | [169] |
| 1980-1989 | [183, 184, 146, 136, 162, 176, 137, 138] | [125] |
| 1990 | [186] | [68] |
| 1991 | [140, 139, 147, 61] | |
| 1992 | [182, 33, 177, 130] | [80] |
| 1993 | ||
| 1994 | [206, 85] | |
| 1995 | [148] | [172] |
| 1996 | [141, 170] | |
| 1997 | [34, 118] | |
| 1998 | [128] | [173, 123] |
| 1999 | [158, 150, 193, 199] | |
| 2000 | [67] | |
| 2001 | [9, 13] | [16] |
| 2002 | [201, 157, 54, 73, 72] | |
| 2003 | [198, 154, 134] | |
| 2004 | [83] | |
| 2005 | [74, 163, 69] | [127, 49] |
| 2006 | [110, 84] | |
| 2007 | [188, 174] | |
| 2008 | [210, 190, 115, 119, 205, 204, 196, 14, 24, 43] | [131, 81, 88] |
| 2009 | [6, 90, 122, 27, 89, 77, 155] | [109, 17] |
| 2010 | [111, 31, 133, 165, 46] | [98, 106, 63] |
| 2011 | [156, 144, 87, 65, 126, 92, 3, 187, 207, 78, 44, 93] | [86, 18] |
| 2012 | [15, 8, 142, 1, 99, 75, 178, 114, 214, 45, 195, 208, 191] | [82, 168] |
| 2013 | [37, 56, 152, 71, 192, 70, 189, 36, 21, 202] | [40, 132, 26, 94, 4] |
| 2014 | [66, 212, 116, 10, 11, 76, 79, 129, 149, 2, 60, 22, 55] | [41, 42, 39, 52] |
| 2015 | [160, 159, 145, 112, 7, 59, 5, 194, 51, 62, 12, 117, 175, 151, 20, 95, 200, 166, 171, 19, 209, 113, 29] | [91] |
| 2016 | [28, 35, 213, 38, 50, 64, 135, 161, 97, 100, 153] | [167, 47, 181] |
| 2017 | [185, 30, 203, 53, 197, 25, 58, 57] | [23] |
| 2018 | [211] |
FC conferences without periodicity
| Date | Conference | Location | Organizing Committee |
|---|---|---|---|
| June/1974 | Fractional Calculus and Its Applications | University of New Haven, USA | Bertram Ross |
| Aug/1984 | Fractional Calculus | Ross Priory, University of Strathclyde, Scotland | Adam C. McBride, Gary F. Roach |
| 29/May-1/June/1989 | Fractional Calculus and its Applications | Center of Nihon University, Tokyo | Katsuyuki Nishimoto |
| 3-4/Dec/1998 | Systèmes Différentiels Fractionnaires: Modèles, Méthods & Applications | ENST, Paris | Denis Matignon, Gérard Montseny |
| 17/Nov/2006 | Fractional Derivatives for Mechanical Engineering: State-of-the-Art and Applications | Conservatoire National des Arts et Métiers, Paris, France | J.-F. Deü, F. Dubois, A. C. Galucio Bourdet, D. Matignon, O. Thomas |
| 4-7/Sept/2007 | CFD’07 - 1st Classic and Fractional Dynamics on Continuous and Discontinuous Vector Fields | Las Vegas, Nevada, USA | Albert Luo, J. A. Tenreiro Machado |
| 15-17/Oct/2007 | SAFC07 - Symposium on Applied Fractional Calculus | Badajoz, Spain | Blas M. Vinagre (Chair), Luis Vázquez, Juan J. Trujillo, Santos Bravo, Concepción A. Monje, Inés Tejado |
| 18-19/Sept/2008 | Fractional Flows Workshop | Univ. of Warwick, Coventry, UK | Niels Jacob |
| 30/Aug-2/Sept/2009 | CFD’09 - 2nd Classic and Fractional Dynamics on Continuous and Discontinuous Vector Fields | San Diego, California, USA | Albert Luo, J. A. Tenreiro Machado |
| 15-17/July/2010 | 1st Symp. on Fractional Order Dynamic Systems and Controls (at the 2010 IEEE/ASME Intern. Conf. on Mechatronic and Embedded Systems and Appl. | Qingdao, ShanDong, China | Yan Li |
| 19-21/Nov/2013 | Intern. Res. and Develop. Conf. “Nigmatullin (Rashid Sh.) Raedings 2013” | Kazan, Russia | Yury Evdokimov, Raoul R. Nigmatullin |
| 23-27/Sept/2013 | 1st Brazilian Symp. on Fractional Calculus | UNESP - Campus de Bauru, Brazil | Rubens de Figueiredo Camargo |
| 3-5/June/2013 | Int. Symposium on Fractional PDEs: Theory, Numerics and Applications | Salve Regina University, Newport, USA | George Em Karniadakis, Jan Hesthaven, Ernest Rothman |
| 24-29/ Aug./2014 | Special Session “Fractional Systems and Signals” at IFAC World Congress | Cape Town, South Africa | Jocelyn Sabatier, Stéphane Victor |
| 17-21/Oct/2016 | A Workshop on Future Directions in Fractional Calculus Research and Applications | Michigan State University, East Lansing, Michigan, USA | Mark Meerschaert |
| 2017 | Workshop on Fractional PDEs: Theory, Algorithms and Applications, Institute for Pure & Applied Mathematics | University of California at Los Angeles, USA | George Em Karniadakis, Francesco Mainardi, Mark Meerschaert, Jie Shen, Hong Wang |
Workshop on Fractional Differentiation and its Applications (FDA, ICFDA), details at http://www.icfda16.com/public/previous-events.php
| Date | Conference | Location | Organizing Committee | Chair Tech./ Progr. Committee |
|---|---|---|---|---|
| 19-21/July/2004 | FDA’04 | Bordeaux, France | Chair: Alain Oustaloup, Co-Chair: D. Camon, Members: H. Guguen, P. Lanusse, R. Malti, P. Melchior, X. Moreau, L. Nivanen, J. Sabatier, J. Zaytoon | Chair: Stefan Samko, Co-Chair: Alain Oustaloup |
| 19-21/July/2006 | FDA’06 | Porto, Portugal | Chair: J. A. Tenreiro Machado, Members: Manuel F. Silva, Lino Figueiredo, Ramiro Barbosa, Alexandra Galhano | Chair: Stefan Samko, Co-Chair: Blas M. Vinagre |
| 5-7/Nov/2008 | FDA’08 | Ankara, Turkey | Chair: Dumitru Baleanu, Members: Yahya Kemal Baykal, Ozlem Defterli, Erdal Dinc, Lino Figueiredo, Serdar Ethem Hamamci, Haldun Ozaktas, Manuel Silva | Chair: J. A. Tenreiro Machado, Co-Chairs: Alain Oustaloup, Wen Chen |
| 18-20/Oct/2010 | FDA’10 | University of Extremadura, Badajoz, Spain | Chair: Blas M. Vinagre Jara, Members: Vicente Feliu Batlle, Santos Bravo Yuste, Inés Tejado Balsera, Antonio J. Calderón Godoy, Igor Podlubny, Ivo Petras, Tomas Skovranek, Dagmar Bednarova, Andrea Mojzisova | Chair: YangQuan Chen |
| 14-17/May/2012 | FDA’12 | Hohai University, Nanjing, China | Chair: Wen Chen, Co-Chairs: Nobuyuki Shimizu, Jocelyn Sabatier, Jalil Sadati | Chair: Dumitru Baleanu, Co-Chairs: Riccardo Caponetto, Igor Podlubny, Mark M. Meerschaert |
| 4-6/Feb/2013 | FDA’13 | Grenoble, France | General Chair: Olivier Sename, General Co-Chair: József Bokor, Co-Chair FDA: J. Tenreiro Machado | |
| 23-25/June/2014 | ICFDA’14 | Catania, Italy | Chair: Riccardo Caponetto, Co-Chairs: G. Muscato, A. Gallo, A. Pisano, G. Maione, Members: F. Sapuppo, L. Tiralosi | Chair: Virginia Kiryakova, Co-Chairs: Rudolf Gorenflo, Igor Podlubny, Luigi Fortuna, Teodor Atanackovic |
| 18-20/July/2016 | ICFDA’16 | Novi Sad, Serbia | Chair: Dragan Spasic, Co-Chairs: Nenad Grahovac, Mihailo Lazarevic, Milan Rapaic, Miodrag Zigic | Chair: Teodor Atanackovic, Co-Chairs: Reyad El-Khazali, Virginia Kiryakova, J.A. Tenreiro Machado, Igor Podlubny |
| 25-27/June/2018 | ICFDA’18 | Amman, Jordan | Chair: Shaher Momani, Co-Chairs: Reyad El-Khazali, Zaid Odibat, Eqap Rabei | Chair: Dumitru Baleanu, Co-Chairs: YangQuan Chen, Igor Podlubny, J. A. Tenreiro Machado, Virginia Kiryakova |
International Symposium on Fractional Signals and Systems (FSS)
| Date | Conference | Location | Organizing Committee | Chair Tech./ Progr. Committee |
|---|---|---|---|---|
| 4-6/Nov/2009 | FSS’09 | Lisbon, Portugal | M. D. Ortigueira | Chair: Manuel Ortigueira, Co-Chairs: Blas Vinagre, J. Tenreiro Machado, Juan J. Trujillo |
| 4-7/Nov/2011 | FSS’11 | Coimbra, Portugal | Filomena Canova, Jorge Barbosa, Nuno Ferreira, Deolinda Simões | Chair: J. Tenreiro Machado, Co-Chairs: M. D. Ortigueira, Blas Vinagre, Juan J. Trujillo |
| 24-26/Oct/2013 | FSS’13 | Ghent University, Belgium | Amélie Chevalier, Cosmin Copot, Dana Copot, Robin De Keyser, Abhishek Dutta, Carina Impens, Clara Ionescu, Gerd Vandersteen, Sabine Van Huffel, Wendy Van Moer, Yu Zhong | Chair: Clara Ionescu, Co-Chair: Manuel Ortigueira, Program Chair: J. Tenreiro Machado |
| 1-3/Oct/2015 | FSS’15 | Technical University of Cluj-Napoca, Romania | Cristina Muresan, Eva H. Dulf, Roxana Both-Rusu, Bogdan Pop, Ioan Nascu, Ovidiu Prodan, Cristian Goia, Isabela Roxana Birs, Nicoleta Hodasz | Chair: Cristina I. Muresan, Co-Chairs: Eva H. Dulf, Roxana Both-Rusu, Ioan Nascu, Ovidiu Prodan |
| 9-11/Oct/2017 | FSS’17 | Lodz, Poland | Chair: Piotr Ostalczyk, Co-Chairs: Marcin Bakała, Wojciech Bieniecki, Dariusz W. Brzeziński, Piotr Duch, Jacek Nowakowski, Andrzej Romanowski | Chair: Manuel Duarte Ortigueira |
Symposium on Fractional Derivatives and Their Application (FDTA)
| Date | Conference | Location | Organizing Committee |
|---|---|---|---|
| 2-6/Sept/2003 | FDTA’03 | Chicago, Illinois, USA | Om Agrawal, J. A. Tenreiro Machado, Jocelyn Sabatier |
| 24-28/Sept/2005 | FDTA’05 | Long Beach, California, USA | Om P. Agrawal, J. A. Tenreiro Machado, Jocelyn Sabatier |
| 4-7/Sept/2007 | FDTA’07 | Las Vegas, Nevada, USA | Om Agrawal, Jocelyn Sabatier, Dumitru Baleanu, Blas Vinagre, YangQuan Chen |
| 30/Aug-2/Sept/2009 | FDTA’09 | San Diego, California, USA | Om Prakash Agrawal, Dumitru Baleanu, YangQuan Chen, Jocelyn Sabatier, Blas M. Vinagre |
| 28-31/Aug/2011 | FDTA’11 | Washington, DC, USA | YangQuan Chen, Dumitru Baleanu, Changpin Li, J. A. Tenreiro Machado, Jocelyn Sabatier, Blas M. Vinagre |
| 8-10/July/2012 | FDTA’12 | Suzhou, China | YangQuan Chen, Changpin Li, Dingyu Xue, Yan Li |
| 4-7/Aug/2013 | FDTA’13 | Portland, USA | Dumitru Baleanu, YangQuan Chen, Changpin Li, J. A. Tenreiro Machado, Jocelyn Sabatier, Blas M. Vinagre |
| 10-12/Sept/2014 | FDTA’14 | Senigallia, Ancona, Italy | Dumitru Baleanu, J.A. Tenreiro Machado, YangQuan Chen, Jocelyn Sabatier, Changpin Li, Blas M. Vinagre |
| 2-5/Aug/2015 | FDTA’15 | Boston, MA, USA | Dumitru Baleanu, J. A. Tenreiro Machado, YangQuan Chen, Jocelyn Sabatier, Changpin Li, Blas M. Vinagre |
| 29-31/Aug/2016 | FDTA’16 | Auckland, New Zealand | Dumitru Baleanu, J. A. Tenreiro Machado, YangQuan Chen, Jocelyn Sabatier, Changpin Li, Blas M. Vinagre, Yan Li, Shandong |
| 6-9/Aug/2017 | FDTA’17 | Cleveland, Ohio, USA | Dumitru Baleanu, J. A. Tenreiro Machado, YangQuan Chen, Jocelyn Sabatier, Changpin Li, Blas M. Vinagre |
Conference on Non-integer Order Calculus and its Application (RαRNR)
| Date | Conference | Location | Organizing Committee | Program Committee |
|---|---|---|---|---|
| June/2009 | Rachunek Różniczkowy Niecałkowitych rzȩdów RRNR First Seminar | Lodz University of Technology, łódź, Poland | P. Ostalczyk | |
| 2010 | Rachunek Różniczkowy Niecałkowitych rzȩdów RRNR Second Seminar | Czestochowa University of Technology, Czȩestochowa, Poland | M. Klimek | |
| 2011 | Rachunek Różniczkowy Niecałkowitych rzȩdów RRNR Third Seminar | Bialystok University of Technology, Białystok, Poland | M. Busłowicz | |
| 2012 | Rachunek Różniczkowy Niecałkowitych rzȩdów RRNR Fourth Seminar | Warsaw University of Technology, Warsaw, Poland | A. Dzieliński | |
| 4-5/July/2013 | 5th RαRNR | AGH Univ. Sci. Tech., Kraków, Poland | W. Mitkowski, J. Baranowski | T. Kaczorek |
| 2014 | 6th RαRNR | Opole, Poland | K. Latawiec, M. łukaniszyn, R. Stanisławski | |
| 28-29/Aug/2015 | 7th RαRNR | Szczecin, Poland | S. Domek, P. Dworak, K. Jaroszewski, J. Jończyk, A. Łukomski, A. Kobyłkiewicz, M. Kocoń | T. Kaczorek |
| 20-21/Sept/2016 | 8th RαRNR | Silesian University of Technology, Zakopane, Poland | A. Czornik, A. Babiarz, M. Niezabitowski | T. Kaczorek, A. Czornik, J. Klamka |
| 12-13/Oct/2017 | 9th RαRNR | Lodz University of Technology, łódz, Poland | P. Ostalczyk, M. Bakała, W. Bieniecki, D.W. Brzeziński, P. Duch, J. Nowakowski, A. Romanowski |
International conference Transform Methods and Special Functions (TMSF), details at http://www.math.bas.bg/∼tmsf
| Date | Conference | Location | Organizing Committee |
|---|---|---|---|
| 12-17/Aug/1994 | TMSF 1994 | Sofia, Bulgaria | Peter Rusev, Ivan Dimovski, Shyam L. Kalla, Virginia Kiryakova, Lyubomir Boyadjiev |
| 23-30/Aug/1996 | TMSF 1996 | Varna, Bulgaria | Peter Rusev, Ivan Dimovski, Shyam L. Kalla, Virginia Kiryakova, Lyubomir Boyadjiev |
| 13-20/Aug/1999 | TMSF 1999 | Blagoevgrad, Bulgaria | Peter Rusev, Ivan Dimovski, Shyam L. Kalla, Virginia Kiryakova, Lyubomir Boyadjiev |
| 15-21/Sept/2003 | TMSF 2003 (at MASSEE) | Borovets, Bulgaria | Peter Rusev, Ivan Dimovski, Shyam L. Kalla, Virginia Kiryakova et al. |
| 27-31/Aug/2010 | TMSF 2010 (as GFTA 2010) | Sofia, Bulgaria | Virginia Kiryakova, Shigeyoshi Owa |
| 20-23/Oct/2011 | TMSF 2011 | Sofia, Bulgaria | Virginia Kiryakova, Georgi Dimkov, Jordanka Paneva-Konovska, et al. |
| 7-10/July/2014 | TMSF 2014 (at MDS 2014) | Sofia, Bulgaria | Virginia Kiryakova, Georgi Dimkov, Jordanka Paneva-Konovska, Emilia Bazhlekova, et al. |
| 27-30/Aug/2017 | TMSF 2017 | Sofia, Bulgaria | Virginia Kiryakova, Stepan Tersian, Emilia Bazhlekova, Jordanka Paneva-Konovska |
International conference on Analytic Methods of Analysis and Differential Equations (AMADE), details at http://www.amade.bsu.by
| Date | Conference | Location | Organizing Committee |
|---|---|---|---|
| 14-18/Sept/1999 | AMADE 1999 | Minsk, Belarus | Anatoly A. Kilbas et al. |
| 15-19/Feb/2001 | AMADE 2001 | Minsk, Belarus | Anatoly A. Kilbas et al. |
| 4-9/Sept/2003 | AMADE 2003 | Minsk, Belarus | Anatoly A. Kilbas et al. |
| 13-19/Sept/2006 | AMADE 2006 | Minsk, Belarus | Anatoly A. Kilbas et al. |
| 14-19/Sept/2009 | AMADE 2009 | Minsk, Belarus | I. V. Gaishun, M. V. Dubatovskaya, A. A. Kilbas, S. V. Rogosin, M. A. Zhuravkov |
| 12-17/Sept/2011 | AMADE 2011 | Minsk, Belarus | Sergei V. Rogosin et al. |
| 10-15/Sept/2012 | AMADE 2012 | Minsk, Belarus | Sergei V. Rogosin et al. |
| 14-19/Sept/2015 | AMADE 2015 | Minsk, Belarus | Sergei V. Rogosin et al. |
Mini-Symposium: Fractional Derivatives and Their Applications (FDTA), at EUROMECH Nonlinear Dynamics Conference (ENOC)
| Date | Conference | Location | Organizing Committee |
|---|---|---|---|
| 7-12/Aug/2005 | FDTA-ENOC 2005 | Eindhoven, The Netherlands | J. A. Tenreiro Machado, Om P. Agrawal, Jocelyn Sabatier |
| 30/June-4/July/2008 | FDTA-ENOC 2008 | Saint Petersburg, Russia | J. A. Tenreiro Machado, Alexander Belyaev, Om Agrawal |
| 24-29/July/2011 | FDTA-ENOC 2011 | Rome, Italy | J. A. Tenreiro Machado, Alexander Belyaev, Om P. Agrawal |
| 6-11/July/2014 | FDTA-ENOC 2014 | Vienna, Austria | Clara Ionescu, J. Tenreiro Machado, Riccardo Caponetto, Pierre Melchior |
| 25-30/June/2017 | FDTA-ENOC 2017 | Budapest, Hungary | Riccardo Caponetto, Clara Ionescu, Pierre Melchior |
Action thématique “Les systèmes à dérivée non entière” (SDNE)
| Date | Conference | Location |
|---|---|---|
| 3-4/Oct/2001 | 1st SDNE | LAP-ENSEIRB Bordeaux, France |
| 28-29/March/2002 | 2nd SDNE | LAII-ESIP Poitiers, France |
| 24-25/Oct/2002 | 3rd SDNE | RCCyN Nantes, France |
| 28-29/March/2003 | 4th SDNE | LAP-ENSEIRB Bordeaux, France |
| 16-17/Oct/2003 | 5th SDNE | LAP-ENSEIRB Bordeaux, France |
| 25-26/March/2004 | 6th SDNE | ENIT Tarbes, France |
| 27-28/March/2003 | 7th SDNE | LeMans, France |
| 24-25/Nov/2005 | 8th SDNE | Bordeaux, France |
| 6/Nov/2006 | 9th SDNE | Paris, France |
International Conference Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis (OTHNA), details at http://otha.sfedu.ru/conf2017/
| Date | Conference | Location | Organizing Committee |
|---|---|---|---|
| 24-28/April/2011 | OTHA 2011 | Rostov-on-Don, Russia | Alexey N. Karapetyants et al. |
| 22-26/April/2012 | OTHA 2012 | Rostov-on-Don, Russia | Stefan G. Samko, Alexey N. Karapetyants et al. |
| 2-6/June/2013 | OTHA 2013 | Rostov-on-Don, Russia | Stefan G. Samko, Alexey N. Karapetyants et al. |
| 27/Apr/-1/May/2014 | OTHA 2014 | Rostov-on-Don, Russia | Stefan G. Samko, Alexey N. Karapetyants et al. |
| 26/Apr-1/May/2015 | OTHA 2015 | Rostov-on-Don, Russia | Stefan G. Samko, Alexey N. Karapetyants et al. |
| 14-19/April/2016 | OTHA 2016 | Rostov-on-Don, Russia | Alexey N. Karapetyants et al. |
| 23-28/April/2017 | OTHA 2017 | Rostov-on-Don, Russia | Alexey N. Karapetyants, Stefan G. Samko et al. |
Fractional Calculus Day (FCD)
| Date | Conference | Location | Organizing Committee |
|---|---|---|---|
| 19/April/2005 | 1st FCD | Utah State University, Logan, USA | YangQuan Chen |
| 3/Sept/2007 | 2nd FCD | Utah State University, Logan, USA | YangQuan Chen |
| 24/April/2009 | 3rd FCD | Utah State University, Logan, USA | YangQuan Chen |
| 22/Aug/2011 | 4th FCD | Utah State University, Logan, USA | YangQuan Chen |
| 3/July/2012 | 5th FCD | Instituto Superior Técnico, Lisbon, Portugal | Igor Podlubny, Manuel Duarte Ortigueira, Duarte Valério |
| 4/April/2013 | 6th FCD | Technical University of Kosice, BERG Faculty, Slovakia | Igor Podlubny, Blas Vinagre, Duarte Valério, Tomas Skovranek |
| 13/June/2013 | 7th FCD | University of California, Merced, USA | YangQuan Chen |
| 2/June/2014 | 8th FCD | University of California, Merced, USA | YangQuan Chen |
| 19/Dec/2014 | 9th FCD | South China University of Technology, Guangzhou, China | Caibin Zeng |
| 5/Jan/2015 | 10th FCD | Northeastern University, China | Dingyu Xue, Dali Chen |
| 6/July/2015 | 11th FCD | University of California, Merced, USA | YangQuan Chen |
| 27/June/2016 | 12th FCD | Beijing Jiao Tong University, China | Yongguang Yu |
| 13/July/2016 | 13th FCD | Nanjing Institute of Technology, China | Hongsheng Li, Jiacai Huang |
International Carpathian Control Conference (ICCC), details at http://www.icc-conf.cz/
| Date | Conference | Location | Organizing Committee |
|---|---|---|---|
| 23-26/May/2000 | ICCC 2000 | High Tatras, Slovak Rep. | Dusab Malindzak, Karol Kostur (SR) |
| 22-25/May/2001 | ICCC 2001 | Krynica, Poland | Bogdan Sapiński |
| May/2002 | ICCC 2002 | Czech Rep. | n/a |
| 26-29/May/2003 | ICCC 2003 | High Tatras, Slovak Rep. | Igor Podlubný |
| 25-28/May/2004 | ICCC 2004 | Zakopane, Poland | Bogdan Sapiński (PL) |
| 24-27/May/2005 | ICCC 2005 | Miscolc, Hungary | Lajos Besenyei (Univ. of Miscolc) |
| 29-31/May/2006 | ICCC 2006 | Ostrava, Czech Rep. | Vladimír Kebo (VŠB-TU Ostrava) |
| 24-27/May/2007 | ICCC 2007 | High Tatras, Štrbske Pleso, Slovak Rep. | Igor Podlubný (Tech. Univ. Košice) |
| 25-28/May/2008 | ICCC 2008 | Univ. of Craiova, Romania | Dan Popescu (RO) |
| /May/2009 | ICCC 2009 | Poland | n/a |
| 26-28/May/2010 | ICCC 2010 | Eqer, Hungary | Jozsef Vásárhelyi |
| 25-28/May/2011 | ICCC 2011 | Velke Karlovice, Czech Rep. | Radim Farana (VŠB-Tech. Univ. of Ostrava) |
| /May/2012 | ICCC 2012 | Slovak Rep. | n/a |
| 26-29/May/2013 | ICCC 2013 | Kraków, Poland | Jacek Snamina (AGH Univ. Sci. Tech., PL) |
| 28-30/May/2014 | ICCC 2014 | Velke Karlovice, Czech Rep. | Radim Farana (VŠB-Tech. Univ. of Ostrava) |
| 27-30/May/2015 | ICCC 2015 | Szilvásvárad, Hungary | Blake Lloyd (IEEE IAS, Iris Power Ltd) |
| 29/May/-1/June/2016 | ICCC 2016 | High Tatras, Tatranska Lomnica, Slovak Rep. | Ivo Petráš (IEEE, Tech. Univ. Košice) |
| 28-31/May/2017 | ICCC 2017 | Sinaia, Romania | Dan Popescu (IEEE, Univ. Craiova) |
Dedicated to the 20th year of our journal : Fract. Calc. Appl. Anal., since 1998
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Acknowledgments
The authors acknowledge the cooperation of Dumitru Baleanu, Riccardo Caponetto, YangQuan Chen, Dana Copot, Reyad El-Khazali, Cristina Muresan, George Em Karniadakis, Mark M. Meerschaert, Shaher Momani, Piotr Ostalczyk, and Ivo Petráš.
The second author (V.K.) work is in the framework of Bilateral Research Projects ‘Analytical and numerical methods for differential and integral equations and mathematical models …’ between BAS and SANU, and ‘Analysis, Geometry and Topology’ between BAS and MANU.
© 2017 Diogenes Co., Sofia
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 20–2–2017)
- Survey Paper
- The Chronicles of Fractional Calculus
- Research Paper
- A Numerical Study of the Homogeneous Elliptic Equation with Fractional Boundary Conditions
- Research Paper
- A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain
- Research Paper
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- Research Paper
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- Research Paper
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- Research Paper
- A high-order predictor-corrector method for solving nonlinear differential equations of fractional order
- Research Paper
- Invariant subspace method: A tool for solving fractional partial differential equations
- Research Paper
- Cauchy formula for the time-varying linear systems with caputo derivative
- Research Paper
- Overconvergence of series in generalized mittag-leffler functions
- Research Paper
- On a new class of constitutive equations for linear viscoelastic body
- Research Paper
- Observability for fractional diffusion equations by interior control
- Research Paper
- Null controllability of fractional dynamical systems with constrained control
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 20–2–2017)
- Survey Paper
- The Chronicles of Fractional Calculus
- Research Paper
- A Numerical Study of the Homogeneous Elliptic Equation with Fractional Boundary Conditions
- Research Paper
- A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain
- Research Paper
- Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operators theory
- Research Paper
- Determination of two unknown thermal coefficients through an inverse one-phase fractional Stefan problem
- Research Paper
- Fractional integral operators characterized by some new hypergeometric summation formulas
- Research Paper
- A high-order predictor-corrector method for solving nonlinear differential equations of fractional order
- Research Paper
- Invariant subspace method: A tool for solving fractional partial differential equations
- Research Paper
- Cauchy formula for the time-varying linear systems with caputo derivative
- Research Paper
- Overconvergence of series in generalized mittag-leffler functions
- Research Paper
- On a new class of constitutive equations for linear viscoelastic body
- Research Paper
- Observability for fractional diffusion equations by interior control
- Research Paper
- Null controllability of fractional dynamical systems with constrained control
