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
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
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