ON CONTROLLABILITY RESULTS FOR FUZZY CAPUTO-KATUGAMPOLA FRACTIONAL DIFFERENTIAL EQUATIONS

Year 2026, Volume: 16 Issue: 1, 109 - 122, 08.01.2026

Hariharan R , Udhayakumar Ramalıngam

Abstract

This article explores the controllability of fuzzy fractional differential equations using the Caputo-Katugampola fractional derivative. First, we prove the existence of a mild solution using fractional calculus, fuzzy set theory, semigroup theory, and the Caputo-Katugampola fractional derivative. The main results are obtained through a fixed-point theorem. Finally, we illustrate our findings with an example.

Keywords

Fuzzy fractional differential equation , Fixed point theorem , Controllability , CK fractional derivative

Thanks

The authors would like to thank the editor and reviewer for their valuable feedback and suggestions on enhancing the quality of the article.

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