Existence and stability results for a class of nonlinear fractional $q$-integro-differential equation

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, Iran

Abstract

This paper deals with the stability results for the solution of a fractional $q$--integro-differential problem with integral conditions. Using Krasnoselskii's, and Banach's fixed point theorems, we prove the existence and uniqueness of results. Based on the results obtained, conditions are provided that ensure the generalized Ulam stability of the original system on a time scale. The results are illustrated by the examples under the numerical technique.

Keywords

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Volume 14, Issue 7
July 2023
Pages 143-158
  • Receive Date: 15 March 2022
  • Revise Date: 13 July 2022
  • Accept Date: 10 September 2022
  • First Publish Date: 13 November 2022