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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

Some New Results for a Class of Volterra-Fredholm fractional Integrol-Differential Equations under Integral Boundary Value Problems

Discontinuity, Nonlinearity, and Complexity 14(2) (2025) 293--301 | DOI:10.5890/DNC.2025.06.004

Abdulrahman A. Sharif$^{1,2}$, Maha M. Hamood$^{2,3}$, Kirtiwant P. Ghadle$^2$

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

$^{2}$ Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India

$^{3}$ Department of Mathematics, Taiz University, Taiz-Yemen

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Abstract

In this study, we prove the positive solutions to a fractional Volterra-Fredholm integro-differential equation existence and uniqueness. Along with integral boundary conditions, this equation uses Caputo-Hadamard fractional derivatives. Our method of proof makes use of the Schauder fixed point theorem, the Banach contraction principle, upper and lower solution notions, and these concepts. We present an example to demonstrate the utility of our theoretical conclusions.

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