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

doi:10.3934/math.2022862

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

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	15741-15758
Number of pages	18
Journal	AIMS Mathematics
Volume	7
Issue number	9
DOIs	https://doi.org/10.3934/math.2022862
State	Published - 2022

Keywords

Caputo-Hadamard fractional derivative
fractional calculus
integro-differential equation
neutral equation
topological degree method

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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.",

keywords = "Caputo-Hadamard fractional derivative, fractional calculus, integro-differential equation, neutral equation, topological degree method",

author = "Harisa, \{Samy A.\} and Chokkalingam Ravichandran and Nisar, \{Kottakkaran Sooppy\} and Nashat Faried and Ahmed Morsy",

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AU - Harisa, Samy A.

AU - Ravichandran, Chokkalingam

AU - Nisar, Kottakkaran Sooppy

AU - Faried, Nashat

AU - Morsy, Ahmed

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Caputo-Hadamard fractional derivative

KW - fractional calculus

KW - integro-differential equation

KW - neutral equation

KW - topological degree method

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DO - 10.3934/math.2022862

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ER -

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

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