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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
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

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

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

Email: dumitru.baleanu@gmail.com

On $psi$-Caputo Fractional Nonlinear Volterra-Fredholm Integro-Differential Equations

Discontinuity, Nonlinearity, and Complexity 11(1) (2022) 97--106 | DOI:10.5890/DNC.2022.03.008

Abdulrahman A. Sharif$^1$ , Ahmed A. Hamoud$^{2}$

$^{1}$ Department of Mathematics, Hodeidah University, AL-Hudaydah, Yemen

$^{2}$ Department of Mathematics, Taiz University, Taiz-380 015, Yemen

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Abstract

In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear $\psi$-Caputo fractional Volterra-Fredholm integro-differential equations with boundary conditions. The desired results are proved by using Banach and Schaefer's fixed point theorems in Banach spaces. Furthermore, Ulam's type stability of the proposed problem is studied.

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