## THERMAL SCIENCE

International Scientific Journal

### ON APPROXIMATE SOLUTIONS OF FRACTIONAL ORDER PARTIAL DIFFERENTIAL EQUATIONS

**ABSTRACT**

The present paper is concerned with the implementation of optimal homotopy asymptotic method to handle the approximate analytical solutions of fractional partial differential equations. Approximate solutions of fractional models in both 1-D and 2-D cases are handled using the innovative proposed method. The consequences show excellent accuracy and strength of the planned method. Using this method, one can easily handle the convergence of approximation series solution for the fractional partial differential equations and can adjust the convergence region when required. The method is effective and explicit. Moreover, this method is flexible with respect to geometry and ease of implementation for fractional order models of physical and biological problems.

**KEYWORDS**

PAPER SUBMITTED: 2017-10-10

PAPER REVISED: 2017-12-19

PAPER ACCEPTED: 2017-12-26

PUBLISHED ONLINE: 2018-02-18

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**Supplement 1**, PAGES [S287 - S299]

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