Open AccessON FUZZY PARTIAL FRACTIONAL ORDER EQUATIONS UNDER FUZZIFIED CONDITIONS
Author(s) -
Jiraporn Reunsumrit,
Muhammad Sher,
Kamal Shah,
Nasser Aedh Alreshidi,
Meshal Shutaywi
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x22400254
Subject(s) - mathematics , adomian decomposition method , fuzzy logic , laplace transform , partial differential equation , series (stratigraphy) , mathematical optimization , mathematical analysis , computer science , artificial intelligence , paleontology , biology
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.