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A class of fractional impulsive functional differential equations with nonlocal conditions

  • Yiliang Liu EMAIL logo und Jiangfeng Han
Veröffentlicht/Copyright: 3. November 2016
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 66 Heft 4

Abstract

In this paper, we deal with the existence of solutions for the fractional impulsive functional differential equations with nonlocal conditions. Then we build a new comparison theorem and obtain the existence of extremal solutions and quasi-solutions by use of the monotone iterative technique and the method of lower and upper solutions.

MSC 2010: Primary 34K37; Secondary 26A33
Keywords: fractional impulsive functional differential equations; lower and upper solutions; monotone iterative technique

This work was supported by NNSF of China Grant Nos. 11271087 and 61263006.

(Communicated by Michal Fečkan)

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Received: 2013-1-21
Accepted: 2014-2-3
Published Online: 2016-11-3
Published in Print: 2016-8-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0191
Schlagwörter für diesen Artikel
fractional impulsive functional differential equations; lower and upper solutions; monotone iterative technique

Artikel in diesem Heft

  1. Research Article
  2. Effect algebras with a full set of states
  3. Research Article
  4. An approach to orthomodular lattices via lattices with an antitone involution
  5. Research Article
  6. On properties of the free BCI-algebra with one generator
  7. Research Article
  8. The generalized order-k Narayana's cows numbers
  9. Research Article
  10. The irrationality of infinite series of a special kind
  11. Research Article
  12. On skew-commuting mappings in semiprime rings
  13. Research Article
  14. On the subordination and superordination of strongly starlike functions
  15. Research Article
  16. On a subclass of analytic functions involving Sălăgean integral operator
  17. Research Article
  18. Uniqueness of meromorphic functions sharing a value or small function
  19. Research Article
  20. A new inclusion for Bavrin's families of holomorphic functions in n-circular domains
  21. Research Article
  22. Oscillation of nonlinear fourth order mixed neutral differential equations
  23. Research Article
  24. Oscillation results for third order nonlinear mixed neutral differential equations
  25. Research Article
  26. Homoclinic solutions for second order Hamiltonian systems with general potentials
  27. Research Article
  28. A class of fractional impulsive functional differential equations with nonlocal conditions
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  30. The weighted reverse poincaré type inequality for the difference of two parabolic subsolutions
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  34. Some approximation results for operators of Szász-Mirakjan-Durrmeyer type
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  36. On the geometry of conditional expectations treated as projections on the L2-space
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  39. Research Article
  40. A necessary condition for the Smith equivalence of G-modules and its sufficiency
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