THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Sajjad Ali

,

Kamal Shah

,

Yongjin Li

,

Muhammad Arif

OPTIMUM SOLUTIONS OF SPACE FRACTIONAL ORDER DIFFUSION EQUATION

ABSTRACT
The present paper is concerned with the implementation of optimal homotopy asymptotic method to handle the approximate analytical solutions of fractional order partial differential equations. Fractional differential equations have great importance regarding distinct fields of science and engineering. Approximate solutions of space fractional order diffusion model and its various special cases are handled using the innovative proposed method. The space fractional derivatives are described in the Caputo sense. The results obtained by the proposed method are compared with various methods. The proposed method demonstrates excellent accuracy and strength over various methods.
KEYWORDS
optimal homotopy asymptotic method, Space Fractional Order Diffusion Equation, analytical solutions
PAPER SUBMITTED: 2017-11-20
PAPER REVISED: 2017-12-25
PAPER ACCEPTED: 2017-12-28
PUBLISHED ONLINE: 2018-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI171120036A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S329 - S339]
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Optimum solutions of space fractional order diffusion equation

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