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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 on Hadamard Neutral Fractional Nonlinear Volterra-Fredholm Integro-Differential Equations

Discontinuity, Nonlinearity, and Complexity 12(4) (2023) 893--903 | DOI:10.5890/DNC.2023.12.013

Ahmed A. Hamoud$^{1}$, Amol D. Khandagale$^{2}$, Rasool Shah$^{3}$, Kirtiwant P. Ghadle$^{2}$

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

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

$^{3}$ Department of Mathematics, Abdul Wali Khan University, Mardan (AWKUM), Pakistan

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Abstract

In this manuscript, we mainly focus on the existence and uniqueness of solutions for the Hadamard fractional neutral nonlinear Volterra-Fredholm integro-differential equation with infinite delay. We employ Krasnoselskii's fixed point theorem, Arzel\'a-Ascoli theorem and Banach contraction principle to show the existence and uniqueness of solutions of our problem. Lastly, we provide applications for the illustration of the obtained theoretical results.

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