ANALYTICAL APPROXIMATION FOR FRACTIONAL ORDER LOGISTIC EQUATION

M. Hamarsheh, A.I.Md. Ismail$^2$\\[4pt]

IJPAM: Volume 115, No. 2 (2017)

Title

ANALYTICAL APPROXIMATION FOR
FRACTIONAL ORDER LOGISTIC EQUATION

Authors

Mohammad Hamarsheh

, Ahmad I.Md. Ismail

$^{1,2}$ School of Mathematical Sciences
University Sains Malaysia
Penang, MALAYSIA

Abstract

The aim of this paper is to obtain an approximate analytical solution of the fractional order logistic equation using the optimal homotopy asymptotic method (OHAM). OHAM uses optimally determined auxiliary constants to control and adjust the convergence of the series solution. We apply OHAM to the fractional order logistic equation for non-integer and integer derivatives. Additionally, we compare its performance with that of the Adams-Bashforth-Moulton method (ABFMM).

History

Received: November 16, 2016
Revised: March 2, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 65L99
Key Words and Phrases: fractional order logistic equation, fractional differential equation, Caputo fractional derivative, optimal homotopy asymptotic method

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How to Cite?

DOI: 10.12732/ijpam.v115i2.3 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: 115
Issue: 2
Pages: 225 - 245

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