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

AIMS Mathematics

article

Nashat Faried¹  Ahmed Morsy²  Samy A. Harisa²  Chokkalingam Ravichandran³  Kottakkaran Sooppy Nisar² 

[1] Department of Mathematics, Faculty of Science, Ain Shams University;Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University;Department of Mathematics, Kongunadu Arts and Science College

关键词: fractional calculus;    Caputo-Hadamard fractional derivative;    integro-differential equation;    neutral equation;    topological degree method;   

DOI  :  10.3934/math.2022862

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY