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

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, University of Campinas, Campinas, Brazil

2 Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkey

3 Sorbonne University, Paris, France

Abstract

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.

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References

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Iranian Journal of Fuzzy Systems
Volume 22, Issue 5
September and October 2025
Pages 21-35

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