Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator | Zendy

Fatemah Mofarreh | Zendy; Ahmed M. Zidan | Zendy; Muhammad Naeem | Zendy; Rasool Shah | Zendy; Roman Ullah | Zendy; Kamsing laopon | Zendy

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Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator

Author(s) -

Fatemah Mofarreh,

Ahmed M. Zidan,

Muhammad Naeem,

Rasool Shah,

Roman Ullah,

Kamsing laopon

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/7250308

Subject(s) - adomian decomposition method , laplace transform , mathematics , operator (biology) , decomposition method (queueing theory) , nonlinear system , fractional calculus , order (exchange) , laplace transform applied to differential equations , decomposition , mathematical analysis , mathematical optimization , partial differential equation , ecology , biochemistry , chemistry , physics , finance , repressor , quantum mechanics , biology , transcription factor , economics , gene , discrete mathematics

This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator. The Laplace transform and the Adomian decomposition method are implemented to obtain the result of the given models. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the suggested method. Furthermore, due to the straightforward implementation, the proposed method can solve other nonlinear fractional-order problems.

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