Work

The existence and Ulam-Hyers stability results for generalized Hilfer fractional integro-differential equations with nonlocal integral boundary conditions

Year: 2021

Type: article

Abstract: In this paper, we study the existence and uniqueness of mild solutions for nonlinear fractional integro-differential equations (FIDEs) subject to nonlocal integral boundary conditions (nonlocal IBC) in the frame of a ξ-Hilfer fractional derivative (FDs). Further, we discuss different kinds of stability of Ulam-Hyers (UH) for mild solutions to the given problem. Using the fixed point theorems (FPT's) together with generalized Gronwall inequality the desired outcomes are proven. Examples are given which illustrate the effectiveness of the theoretical results.

Source: Advances in the Theory of Nonlinear Analysis and its Application

DOI: 10.31197/atnaa.917180

Authors: Adel LACHOURİ, Abdelouaheb ARDJOUNİ

Institutions: Badji Mokhtar-Annaba University, Mohamed-Cherif Messaadia University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4200344121

FWCI: 0.836

Cites: 21

Cited by: 9

Related to: 10