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Article | Open Access

On controllability results for Hilfer–Katugampola fuzzy fractional differential equations via measure of noncompactness

Ramaraj Hariharan1, Ramalingam Udhayakumar1( )
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India.
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Abstract

The study explores controllability results for fuzzy fractional differential equations involving the Hilfer–Katugampola fractional derivative, a generalization of the Riemann–Liouville and Hadamard fractional derivatives. It establishes existence conditions for mild solutions by applying fractional calculus, semigroup theory, the Laplace transform, and Sadovskii’s fixed point theorem. Additionally, an example is included to illustrate the practical applications of the key findings.

Keywords

measure of noncompactnessHilfer–Katugampola fractional derivativefixed point theorycontrollability

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Fuzzy Information and Engineering
Volume 18 Issue 2,
June 2026
Pages 211-222
DOI: 10.26599/FIE.2026.9270011

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Cite this article:
Hariharan R, Udhayakumar R. On controllability results for Hilfer–Katugampola fuzzy fractional differential equations via measure of noncompactness. Fuzzy Information and Engineering, 2026, 18(2): 211-222. https://doi.org/10.26599/FIE.2026.9270011

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Received: 18 March 2025
Revised: 10 June 2025
Accepted: 18 July 2025
Published: 08 July 2026
© The Author(s) 2026.

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