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

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 calculus
• caputo-hadamard fractional derivative
• integro-differential equation
• neutral equation
• topological degree method