ON FUZZY PARTIAL FRACTIONAL ORDER EQUATIONS UNDER FUZZIFIED CONDITIONS

Jiraporn Reunsumrit (), Muhammad Sher (), Kamal Shah, Nasser Aedh Alreshidi () and Meshal Shutaywi ()
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Jiraporn Reunsumrit: Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok 10800, Bangkok, Thailand
Muhammad Sher: Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan
Kamal Shah: Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan
Nasser Aedh Alreshidi: Department of Mathematics, Northern Borders University, Turaif, Saudi Arabia
Meshal Shutaywi: Department of Mathematics, College of Science and Arts, King Abdulaziz University, P.O. Box 344 Rabigh 21911, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-9

Abstract: This paper is devoted to investigating or computing the solution to one-dimensional partial fuzzy fractional order heat equation. In particular, one-dimensional fuzzy partial heat equation is hybridized into two equations by hybrid techniques along with the concept of parametric fuzzy number. For this investigation, a hybrid method of decomposition due to Adomian and Laplace transform is used. The considered techniques are presented for the computation of series of solutions of partial fractional order heat equation. The applied techniques have also provided the accuracy, simplicity and efficiency as compared to other existing methods. Finally, some illustrations are solved for the justification of our theoretical solution.

Keywords: Fuzzy Number; Fuzzy Fractional Derivative; Fuzzy Fractional Integral; Fuzzy Fractional Order Heat Equation; Decomposition Method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400254

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