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

Samy A. Harisa; Chokkalingam Ravichandran; Kottakkaran Sooppy Nisar; Nashat Faried; Ahmed Morsy; Samy A. Harisa; Chokkalingam Ravichandran; Kottakkaran Sooppy Nisar; Nashat Faried; Ahmed Morsy

doi:10.3934/math.2022862

AIMS Mathematics

2022, Volume 7, Issue 9: 15741-15758. doi: 10.3934/math.2022862

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

1.
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
2.
Department of Mathematics, Kongunadu Arts and Science College (Autonomous), Coimbatore 641029, Tamil Nadu, India
3.
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo 11566, Egypt

Received: 20 February 2022 Revised: 10 June 2022 Accepted: 16 June 2022 Published: 27 June 2022
MSC : 34A08, 37C25, 34K10, 34K37

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.
- fractional calculus,
- Caputo-Hadamard fractional derivative,
- integro-differential equation,
- neutral equation,
- topological degree method
Citation: Samy A. Harisa, Chokkalingam Ravichandran, Kottakkaran Sooppy Nisar, Nashat Faried, Ahmed Morsy. New exploration of operators of fractional neutral integro-differential equations in Banach spaces through the application of the topological degree concept[J]. AIMS Mathematics, 2022, 7(9): 15741-15758. doi: 10.3934/math.2022862

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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.

References

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