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Iranian Journal of Fuzzy Systems، جلد ۲۲، شماره ۳، صفحات ۱-۱۹
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
A Novel Approach to Time-Fractional Equations using Fuzzy Beta Laplace Transform Iterative Technique and its Applications in Fluid Dynamics |
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| چکیده انگلیسی مقاله |
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. |
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| کلیدواژه‌های انگلیسی مقاله |
Fuzzy time-fractional oxygen diffusion equation,The fuzzy beta generalized Hukuhara time-fractional derivative,The fuzzy beta-Laplace transform iterative method,Fuzzy time-fractional diffusion equation |
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| نویسندگان مقاله |
Mohammad Rasoul Mastani Shabestari |
Department of Mathematics, Sufian Branch, Islamic Azad University, Sufian, Iran.
Nasser Mikaeilvand |
Central Tehran branch, Islamic Azad University, Tehran, Iran.
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| نشانی اینترنتی |
https://ijfs.usb.ac.ir/article_9196_35713ef2c6dba18ee74891b863efe665.pdf |
| فایل مقاله |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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