We examine a class of fractional-order Volterra functional integral equations, where the fractional integral is viewed in the Hadamard type. By using Petryshyn’s fixed point theorem for Banach spaces, we investigate the existence solutions for fractional integral equations. Also, we introduce an iterative method using the sinc quadrature rule to find the approximate solutions of Hadamard fractional integral equations. Several examples are presented to support the theoretical and numerical results.
"EXISTENCE AND APPROXIMATE SOLUTIONS FOR HADAMARD FRACTIONAL INTEGRAL EQUATIONS IN A BANACH SPACE." J. Integral Equations Applications 35 (1) 27 - 40, Spring 2023. https://doi.org/10.1216/jie.2023.35.27