Abstract
Generalized summability results are obtained regarding formal solutions of certain families of linear moment integro-differential equations with time variable coefficients. The main result leans on the knowledg e of the behavior of the moment derivatives of the elements involved in the problem.
A refinement of the main result is also provided giving rise to more accurate results which remain valid in wide families of problems of high interest in practice, such as fractional integro-differential equations.
Acknowledgements
A. Lastra is partially supported by the project PID2019-105621GB-I00 of Ministerio de Ciencia e Innovación, Spain, and by Dirección General de Investigación e Innovación, Consejería de Educación e Investigación of the Comunidad de Madrid (Spain), and Universidad de Alcalá under grant CM/JIN/2019-010, Proyectos de I+D para Jóvenes Investigadores de la Universidad de Alcalá 2019. The authors express their gratitude to Prof. Virginia Kiryakova for the suggestions made that helped to improve the text and the existing connections of the results to fractional calculus.
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© 2021 Diogenes Co., Sofia
Artikel in diesem Heft
- Frontmatter
- Editorial
- FCAA related news, events and books
- Survey Paper
- Towards a unified theory of fractional and nonlocal vector calculus
- Research Paper
- An adaptive memory method for accurate and efficient computation of the Caputo fractional derivative
- Analysis of solutions of some multi-term fractional Bessel equations
- Existence of solutions for the semilinear abstract Cauchy problem of fractional order
- Summability of formal solutions for a family of generalized moment integro-differential equations
- Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation
- Green’s function for the fractional KdV equation on the periodic domain via Mittag–Leffler function
- First order plus fractional diffusive delay modeling: Interconnected discrete systems
- On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function
- On the decomposition of solutions: From fractional diffusion to fractional Laplacian
- Output error MISO system identification using fractional models
- Short Paper
- Identification of system with distributed-order derivatives
- Short note
- On the Green function of the killed fractional Laplacian on the periodic domain
Artikel in diesem Heft
- Frontmatter
- Editorial
- FCAA related news, events and books
- Survey Paper
- Towards a unified theory of fractional and nonlocal vector calculus
- Research Paper
- An adaptive memory method for accurate and efficient computation of the Caputo fractional derivative
- Analysis of solutions of some multi-term fractional Bessel equations
- Existence of solutions for the semilinear abstract Cauchy problem of fractional order
- Summability of formal solutions for a family of generalized moment integro-differential equations
- Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation
- Green’s function for the fractional KdV equation on the periodic domain via Mittag–Leffler function
- First order plus fractional diffusive delay modeling: Interconnected discrete systems
- On a solution of a fractional hyper-Bessel differential equation by means of a multi-index special function
- On the decomposition of solutions: From fractional diffusion to fractional Laplacian
- Output error MISO system identification using fractional models
- Short Paper
- Identification of system with distributed-order derivatives
- Short note
- On the Green function of the killed fractional Laplacian on the periodic domain