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

Shahidi, Mina; Esmi, Estevão; Allahviranloo, Tofigh; Georgiev, Svetlin

doi:10.22111/ijfs.2025.51388.9079

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

https://doi.org/10.22111/ijfs.2025.51388.9079

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.

Keywords

Main Subjects

Fuzzy Math

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Iranian Journal of Fuzzy Systems

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

References

References

Volume 22, Issue 5
September and October 2025
Pages 21-35

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

References

References

Volume 22, Issue 5September and October 2025Pages 21-35

Volume 22, Issue 5
September and October 2025
Pages 21-35