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Existence of solutions for nonlinear Hilfer-Katugampola fractional integro-differential equations

Year: 2025
Type: article
Abstract: This paper investigates the existence of solutions for a class of nonlinear Hilfer-Katugampola fractional integro-differential equations defined on a finite interval [0,T]$[0,T]$. By employing the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem, we establish sufficient conditions that guarantee the existence of solutions to the considered initial value problem.
Authors: Qiu-ju Mi, Yu-bo He, Chao-liang Chen
Institution: Huaihua University
Language: English
Open Access status: gold
Estimated APC paid: $1,890
OpenAlex ID: W4417488070
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Cites: 13
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