Discontinuity, Nonlinearity, and Complexity
Existence, Uniqueness and Stability Results for Nonlocal Fractional Nonlinear VolterraFredholm Integro Differential Equations
Discontinuity, Nonlinearity, and Complexity 11(2) (2022) 343352  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, Taiz380 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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Abstract
In this paper, we prove the existence and uniqueness of solutions for a class of nonlinear fractional VolterraFredholm integro differential equations with nonlocal conditions. In addition, the UlamHyers and UlamHyersRassias 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.
Acknowledgments
The authors are grateful to the editor and the referees for the careful reading
of the paper.
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