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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 Time Scales Fractional Volterra-Fredholm Integro-Differential Equation

Discontinuity, Nonlinearity, and Complexity 12(3) (2023) 615--630 | DOI:10.5890/DNC.2023.09.009

Ahmed A. Hamoud$^{1}$, Amol D. Khandagale$^2$ and Kirtiwant P. Ghadle$^2$

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

$^2$ Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-(431004), India

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Abstract

The existence, uniqueness, and Ulam-Hyers stability of the Volterra-Fredholm integro-differential equation with non-instantaneous impulses and periodic boundary conditions over time scales are investigated in this paper using Banach fixed point theorems and Caputo delta fractional derivative. Finally, we present an example to confirm our main findings.

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