ON CONTROLLABILITY RESULTS FOR FUZZY CAPUTO-KATUGAMPOLA FRACTIONAL DIFFERENTIAL EQUATIONS

ON CONTROLLABILITY RESULTS FOR FUZZY CAPUTO-KATUGAMPOLA FRACTIONAL DIFFERENTIAL EQUATIONS

R. Hariharan, R. Udhayakumar

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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.