THERMAL SCIENCE

International Scientific Journal

Muhammad Ikhlaq Chohan

,

Sajjad Ali

,

Kamal Shah

,

Muhammad Arif

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
optimal homotopy asymptotic method, fractional partial differential equation, analytical solutions
PAPER SUBMITTED: 2017-10-10
PAPER REVISED: 2017-12-19
PAPER ACCEPTED: 2017-12-26
PUBLISHED ONLINE: 2018-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI171010032C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S287 - S299]
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On approximate solutions of fractional order partial differential equations

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence