Study of fuzzy fractional dynamic equations on time scales for S-correlated fuzzy functions

In this study, we introduce a concept of fuzzy fractional differentiability and integrability on time scales for S-correlated fuzzy functions and propose their fundamental properties. Using these concepts, we study fuzzy fractional dynamic equations on time scales for S-correlated fuzzy functions, establishing existence and uniqueness results for their fuzzy solutions. Additionally, we study non-homogeneous first-order linear fuzzy fractional dynamic equations with both real and fuzzy coefficients and establish their general solution forms on time scales. Furthermore, we provide illustrative examples to illustrate our results.

کلیدواژه ها:

Time scales ، Fuzzy fractional dynamic equations ، S-correlated fuzzy functions