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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Existence, Uniqueness and Stability Results for Nonlocal Fractional Nonlinear Volterra-Fredholm Integro Differential Equations

Discontinuity, Nonlinearity, and Complexity 11(2) (2022) 343--352 | DOI:10.5890/DNC.2022.06.013

Ahmed A. Hamoud$^{1}$, Nedal M. Mohammed$^{2}$, Kirtiwant P. Ghadle$^{3}$

$^{1}$ Department of Mathematics, Taiz University, Taiz-380 015, Yemen

$^{2}$ Department of Computer Science \& IT, Taiz University, Taiz, Yemen

$^{3}$ Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India

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In this paper, we prove the existence and uniqueness of solutions for a class of nonlinear fractional Volterra-Fredholm integro differential equations with nonlocal conditions. In addition, the Ulam-Hyers and Ulam-Hyers-Rassias stability for solutions of the given problem are also discussed. The desired results are proved by using Pachpatte's integral inequality, aid of fixed point theorems due to Banach and Schaefer's fixed point theorems.


The authors are grateful to the editor and the referees for the careful reading of the paper.


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