Existence and stability for a semilinear fractional differential equation with two delays

Rahima Atmania

doi:10.2478/awutm-2022-0009

$Existence and stability for a semilinear fractional differential equation with two delays Cover$

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Existence and stability for a semilinear fractional differential equation with two delays

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 58 (2022): Issue 1 (June 2022)

By: Rahima Atmania

Open Access

|Jun 2022

Abstract

In this paper, we are concerned with a class of nonlinear fractional differential equation with delays. By means of the contraction mapping principle, we prove the existence of a unique solution and investigate the continuous dependence of the solution upon the initial data and two types of Ulam stability: Ulam-Hyers and Ulam-Hyers-Rassias ones. Then, we give an example to illustrate the main results.

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