EXISTENCE AND APPROXIMATE SOLUTIONS FOR HADAMARD FRACTIONAL INTEGRAL EQUATIONS IN A BANACH SPACE

Manochehr Kazemi; Harindri Chaudhary; Amar Deep

doi:10.1216/jie.2023.35.27

Abstract

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.

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Manochehr Kazemi. Harindri Chaudhary. Amar Deep. "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

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Received: 10 March 2022; Revised: 22 October 2022; Accepted: 26 October 2022; Published: Spring 2023

First available in Project Euclid: 7 June 2023

MathSciNet: MR4598868

zbMATH: 07714668

Digital Object Identifier: 10.1216/jie.2023.35.27

Subjects:

Primary: 47H10 , 60H20

Keywords: fixed point Theorem , fractional integral equation , iterative method , measure of noncompactness

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