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Article | Open Access

Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative

Ramaraj Hariharan1, Ramalingam Udhayakumar1( )
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India.
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Abstract

The paper investigates the existence of a mild solution for a fuzzy fractional differential equation involving the Caputo–Katugampola fractional derivative. The main results are established using Mönch’s fixed point theorem, along with essential tools like semigroup theory, fractional calculus, and the measure of noncompactness. Finally, our theoretical results are applied by providing an interesting example.

Keywords

fuzzy fractional differential equationCaputo–Katugampola fractional derivativemeasure of noncompactnessfixed point theorem

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Fuzzy Information and Engineering
Volume 17 Issue 2,
June 2025
Pages 215-226
DOI: 10.26599/FIE.2025.9270060

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Hariharan R, Udhayakumar R. Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative. Fuzzy Information and Engineering, 2025, 17(2): 215-226. https://doi.org/10.26599/FIE.2025.9270060

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Received: 10 December 2024
Revised: 17 February 2025
Accepted: 05 March 2025
Published: 30 July 2025
© The Author(s) 2025.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).