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

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

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 ascerta...

Full description

Bibliographic Details
Main Authors: Samy A. Harisa, Chokkalingam Ravichandran, Kottakkaran Sooppy Nisar, Nashat Faried, Ahmed Morsy
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
fractional calculus
caputo-hadamard fractional derivative
integro-differential equation
neutral equation
topological degree method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022862?viewType=HTML
Description
Summary: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.
ISSN:2473-6988

Similar Items