This article is cited in 4 papers

Uniqueness and stability results for caputo fractional Volterra–Fredholm integro-differential equations

Ahmed A. Hamoud

Department of Mathematics, Taiz University, Taiz, Yemen

Abstract: In this paper, we established some new results concerning the uniqueness and Ulam's stability results of the solutions of iterative nonlinear Volterra–Fredholm integro-differential equations subject to the boundary conditions. The fractional derivatives are considered in the Caputo sense. These new results are obtained by applying the Gronwall–Bellman's inequality and the Banach contraction fixed point theorem. An illustrative example is included to demonstrate the efficiency and reliability of our results.

Keywords: Volterra–Fredholm integro-differential equation, Caputo sense, Gronwall–Bellman's inequality, Banach contraction fixed point theorem.

UDC: 517.9

Received: 10.08.2020
Received in revised form: 10.01.2021
Accepted: 20.03.2021

Language: English

DOI: 10.17516/1997-1397-2021-14-3-313-325

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