Title

HOMOTOPY ANALYSIS NATURAL TRANSFORM METHOD
FOR SOLVING FRACTIONAL PHYSICAL MODELS

Authors

S.Z. Rida, A.A.A. Arafa, A.S. Abedl-Rady, H.R. Abdl-Rahim
Faculty of Science
South Valley University
Qena, EGYPT
Department of Mathematics and Computer Science
Faculty of Science
Port Said University
Port Said, EGYPT

Abstract

Homotopy analysis natural transform method (HANTM) is used to solve fractional physical models. This method is a combined form of the natural transform method and the homotopy analysis method. The fractional derivatives are described in the Caputo sense. The results reveal that the method is very effective, simple and can be applied to other fractional physical models.

History

Received: 2017-01-07
Revised: 2017-07-15
Published: November 29, 2017

AMS Classification, Key Words

AMS Subject Classification: homotopy analysis, natural transform method, fractional physical models
Key Words and Phrases:

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How to Cite?

DOI: 10.12732/ijpam.v117i1.3 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 117
Issue: 1
Pages: 19 - 32

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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