On the solutions of fractional integro-differential equations involving Ulam-Hyers-Rassias stability results via $\psi$-fractional derivative with boundary value conditions

Authors

KULANDHIVEL KARTHIKEYAN
GOBI SELVARAJ MURUGAPANDIAN
ÖZGÜR EGE

DOI

10.55730/1300-0098.3283

Abstract

In this paper, we study boundary value problems for the impulsive integro-differential equations via $\psi$-fractional derivative. The contraction mapping concept and Schaefer's fixed point theorem are used to produce the main results. The results reported here are more general than those found in the literature, and some special cases are presented. Furthermore, we discuss the Ulam-Hyers-Rassias stability of the solution to the proposed system.

Keywords

Fractional integro-differential equation, Schaefer's fixed point theorem, Ulam-Hyers-Rassias stability

First Page

2500

Last Page

2512

Recommended Citation

KARTHIKEYAN, KULANDHIVEL; MURUGAPANDIAN, GOBI SELVARAJ; and EGE, ÖZGÜR (2022) "On the solutions of fractional integro-differential equations involving Ulam-Hyers-Rassias stability results via $\psi$-fractional derivative with boundary value conditions," Turkish Journal of Mathematics: Vol. 46: No. 6, Article 31. https://doi.org/10.55730/1300-0098.3283
Available at: https://journals.tubitak.gov.tr/math/vol46/iss6/31