Fall 2023 SOLVABILITY FOR FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN’S FIXED-POINT THEOREM
Amar Deep, Deepika Saini, Hitesh Kumar Singh, Ümit Çakan
J. Integral Equations Applications 35(3): 277-289 (Fall 2023). DOI: 10.1216/jie.2023.35.277

Abstract

We examine the solvability of fractional integral equations using the techniques of measure of noncompactness and the Petryshyn’s fixed-point theorem in Banach space concerning the Riemann-Liouville integral operator. The results obtained in this paper cover some earlier results obtained by numerous authors under weaker conditions. In the end, two applications are given to illustrate the major result.

Citation

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Amar Deep. Deepika Saini. Hitesh Kumar Singh. Ümit Çakan. "SOLVABILITY FOR FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN’S FIXED-POINT THEOREM." J. Integral Equations Applications 35 (3) 277 - 289, Fall 2023. https://doi.org/10.1216/jie.2023.35.277

Information

Received: 13 February 2023; Revised: 29 June 2023; Accepted: 11 September 2023; Published: Fall 2023
First available in Project Euclid: 25 October 2023

Digital Object Identifier: 10.1216/jie.2023.35.277

Subjects:
Primary: 47H10
Secondary: 45D05

Keywords: fixed-point theorem , fractional integral equations , measure of noncompactness

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

Vol.35 • No. 3 • Fall 2023
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