Solvability of product of n-quadratic Hadamard-type fractional integral equations in Orlicz spaces

Abstract

The current study demonstrated and studied the existence of monotonic solutions, as well as the uniqueness of the solutions for a general and abstract form of a product of $ n $-quadratic fractional integral equations of Hadamard-type in Orlicz spaces $ L_\varphi $. We utilized the analysis of the measure of non-compactness associated with Darbo's fixed-point theorem and fractional calculus to obtain the results.

Keywords

• hadamard fractional integral operator
• $ n $-product of quadratic integral equation
• measure of non-compactness (mnc)
• orlicz spaces $ l_\varphi $