Study of fuzzy fractional dynamic equations on time scales for S-correlated fuzzy functions
نویسندگان
1 Department of Applied Mathematics, University of Campinas, Campinas, Brazil
2 Department of Applied Mathematics, University of Campinas, Campinas, Brazil
3 Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkey.
4 Sorbonne University, Paris, France
doi
10.22111/ijfs.2025.51388.9079چکیده
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.
