Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions-Reference-Cited by-同舟云学术

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

Published:2020-02-07 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Zada Akbar,Alzabut Jehad^ORCID,Waheed Hira,Popa Ioan-Lucian

Abstract

AbstractThis paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given problem by applying the tools of fixed point theory. Furthermore, we investigate different kinds of stability such as Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers–Rassias stability. Finally, we give two examples to demonstrate the validity of main results.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-020-2534-1.pdf

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