Solution of fuzzy fractional order differential equations by fractional Mellin transform method
Azhar, Noreen 1Iqbal, Saleem2
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作者信息
1. Sardar Bahadur Khan Womens Univ
2. Univ Balochistan
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Abstract
This paper deals with the application of fuzzy Mellin transform for fuzzy valued functions. It is an attempt to investigate fuzzy Mellin transform in fractional sense and is called fuzzy fractional Mellin transform. Some techniques are proposed for the solution of fuzzy fractional order differential equations by using left-sided Riemann-Liouville fractional derivative. Moreover, some illustrative examples are solved to show the capability and effectiveness of fuzzy Mellin transforms method by converting it into a general solution for an analogous equation with the left-sided Riemann-Liouville derivative and then presenting its explicit representation. (C) 2021 Elsevier B.V. All rights reserved.
Key words
Fuzzy valued function/Fractional calculus/Fuzzy Mellin transform/Riemann-Liouville fractional derivative and integral operator/Fuzzy fractional differential equations/GENERALIZED HUKUHARA DIFFERENTIABILITY
NSTL
Elsevier