An efficient analytical scheme for fuzzy conformable fractional differential equations arising in physical sciences

Hadi Eghlimi; Mohammad Sadegh Asgari

doi:10.21203/rs.3.rs-1100676/v1

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arXiv · 2206.11043

An efficient analytical scheme for fuzzy conformable fractional differential equations arising in physical sciences

Hadi Eghlimi·Mohammad Sadegh Asgari

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Abstract

This article describes the fuzzy conformable fractional derivative which is based on generalized Hukuhara differentiability. On these topics, we prove a number of properties concerning this type of differentiability. In addition, fuzzy conformable Laplace transforms are used to obtain analytical solutions to the fractional differential equation. Through the use of several practical examples, such as the fuzzy conformable fractional growth equation, the fuzzy conformable fractional one-compartment model, and the fuzzy conformable fractional Newton's law of cooling, we demonstrate the effectiveness and efficiency of the approaches.

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Hadi Eghlimi, Mohammad Sadegh Asgari. 2022-06-20. An efficient analytical scheme for fuzzy conformable fractional differential equations arising in physical sciences. https://doi.org/10.21203/rs.3.rs-1100676%2Fv1

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