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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 Nonlinear Generalized Caputo Fractional Implicit Volterra-Fredholm Model

Discontinuity, Nonlinearity, and Complexity 14(2) (2025) 439--450 | DOI:10.5890/DNC.2025.06.015

Saif Aldeen M. Jameel$^1$, Ahmed A. Hamoud$^2$

$^1$ Department of Statistics Techniques, Middle Technical University, Institute of Administration Rusafa, %Baghdad-10045, Iraq

$^2$ Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen

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Abstract

n this paper, we prove some new existence and uniqueness results of solutions for nonlinear fractional implicit integro-differential equations of Hadamard-Caputo type with fractional boundary conditions. The reasoning is inspired by diverse classical fixed point theory, such as the Schauder and Banach fixed point theorems. The theoretical findings are illustrated through an example.

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