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Research Article | Open Access

New exploration of operators of fractional neutral integro-differential equations in Banach spaces through the application of the topological degree concept

Samy A. Harisa1,3( ), Chokkalingam Ravichandran2, Kottakkaran Sooppy Nisar1, Nashat Faried3, Ahmed Morsy1
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Department of Mathematics, Kongunadu Arts and Science College (Autonomous), Coimbatore 641029, Tamil Nadu, India
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo 11566, Egypt
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Abstract

In this paper, we analyze the behavior of the neutral integro-differential equations of fractional order including the Caputo-Hadamard fractional derivative. The results and solutions are obtained using the topological degree method. Furthermore, some specific numerical examples are given to ascertain the wide applicability and high efficiency of the suggested fixed point technique.

Keywords

fractional calculusCaputo-Hadamard fractional derivativeintegro-differential equationneutral equationtopological degree method
CLC number: 34A08, 37C25, 34K10, 34K37

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 15741-15758
DOI: 10.3934/math.2022862

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Harisa SA, Ravichandran C, Nisar KS, et al. New exploration of operators of fractional neutral integro-differential equations in Banach spaces through the application of the topological degree concept. AIMS Mathematics, 2022, 7(9): 15741-15758. https://doi.org/10.3934/math.2022862

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Received: 20 February 2022
Revised: 10 June 2022
Accepted: 16 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)