On Analytical Solution of Time-Fractional Type Model of the Fisher’s Equation.

Bibliographic Details
Title: On Analytical Solution of Time-Fractional Type Model of the Fisher’s Equation.
Alternate Title: حول الحل التحليلي لمعادلة فيشر الزمنية ذات الرتب الكسرية
Authors: Huseen, Shaheed N.1 shn_n2002@yahoo.com
Source: Iraqi Journal of Science. 2020, Vol. 61 Issue 6, p1419-1425. 7p.
Subject Terms: *FRACTIONAL differential equations, *LAPLACE'S equation, *ANALYTICAL solutions, *NUMERICAL solutions to differential equations, *LAPLACE transformation, *MATHEMATICAL models, *DERIVATIVES (Mathematics), *HOMOTOPY theory
Abstract: In this paper, the time-fractional Fisher’s equation (TFFE) is considered to exam the analytical solution using the Laplace q-Homotopy analysis method (Lq-HAM)”. The Lq-HAM is a combined form of q-homotopy analysis method (q-HAM) and Laplace transform. The aim of utilizing the Laplace transform is to outdo the shortage that is mainly caused by unfulfilled conditions in the other analytical methods. The results show that the analytical solution converges very rapidly to the exact solution. [ABSTRACT FROM AUTHOR]
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Database: Academic Search Complete
More Details
ISSN:00672904
DOI:10.24996/ijs.2020.61.6.20
Published in:Iraqi Journal of Science
Language:English