THERMAL SCIENCE

International Scientific Journal

Samia Bushnaq

,

Sajjad Ali

,

Kamal Shah

,

Muhammad Arif

EXACT SOLUTION TO NON-LINEAR BIOLOGICAL POPULATION MODEL WITH FRACTIONAL ORDER

ABSTRACT
In this paper, optimal homotopy asymptotic method has been extended to seek out the exact solution of fractional generalized biological population models. The time fractional derivatives are described in the Caputo sense. It optimal homotopy asymptotic method is a new approach for fractional models. The proposed approach presents a procedure by that we have transferred the model to a series of simpler problems which are solvable by hand work applying the Riemann-Liouville fractional integral operator and obtained exact solution of fractional the generalized biological population by adding the solutions of first three simple problems of the series of simpler problems. The new approach provides exact solution in the way of smoothly convergent series.
KEYWORDS
Optimal Homotopy Asymptotic, fractional generalized biological population, exact solution
PAPER SUBMITTED: 2017-11-27
PAPER REVISED: 2017-12-22
PAPER ACCEPTED: 2018-01-03
PUBLISHED ONLINE: 2018-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI171127035B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S317 - S327]
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Exact solution to non-linear biological population model with fractional order

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