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On Approximate Solution of Fractional Order Logistic Equations by Operational Matrices of Bernstein Polynomials
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On Approximate Solution of Fractional Order Logistic Equations by Operational Matrices of Bernstein Polynomials

Hasib Khan, Mohsen Alipour, Rahmat Ali Khan, Haleh Tajadodi and Aziz Khan
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, Vol.14(3), pp.222-232
15/04/2015

Abstract

Mathematics Physical Sciences Science & Technology
In this Paper we give a scheme for the numerical solution of fractional order Logistic equations (FOLE) using operational matrices for fractional order integration and multiplications based on Bernstein Polynomials (BPs). By this method we get the FOLE in the form of a system of algebraic equations which is simple in handling for the numerical solutions and better approximations are obtained. For the illustration of the efficiency and simplicity of the scheme, three examples are added in the paper.
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https://doi.org/10.22436/jmcs.014.03.05View
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