## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2017-11-20

PAPER REVISED: 2017-12-25

PAPER ACCEPTED: 2017-12-28

PUBLISHED ONLINE: 2018-02-18

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**Supplement 1**, PAGES [S329 - S339]

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