A Novel Approach to Time-Fractional Equations using Fuzzy Beta Laplace Transform Iterative Technique and its Applications in Fluid Dynamics

Mastani Shabestari, Mohammad Rasoul; Mikaeilvand, Nasser

doi:10.22111/ijfs.2025.50308.8872

Document Type : Research Paper

Authors

¹ Department of Mathematics, Sufian Branch, Islamic Azad University, Sufian, Iran.

² Central Tehran branch, Islamic Azad University, Tehran, Iran.

https://doi.org/10.22111/ijfs.2025.50308.8872

Abstract

This work proposes a novel approach for modeling complex systems with uncertain data using fuzzy calculus and linear time-fractional differential equations. We provide the fuzzy beta generalized Hukuhara derivative, which maintains inherent uncertainties without transforming fuzzy issues into precise formulations, improving both accuracy and interpretability. We present a fuzzy beta Laplace transform iterative approach to solve fuzzy linear time-fractional equations in fluid dynamics effectively. Case studies, including the fuzzy time-fractional diffusion and advection-dispersion equations, demonstrate the effectiveness of our strategy in capturing system dynamics under uncertainty. This study enhances the amalgamation of fuzzy calculus and fractional modeling, offering a solid foundation for the analysis of uncertain complex systems.

Keywords

Main Subjects

Fuzzy Math

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A Novel Approach to Time-Fractional Equations using Fuzzy Beta Laplace Transform Iterative Technique and its Applications in Fluid Dynamics

References

References

Volume 22, Issue 3May and June 2025Pages 1-19

Volume 22, Issue 3
May and June 2025
Pages 1-19