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

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Authors
Hasib Khan
 Department of Mathematics, University of Malakand, Dir Lower, P. O Box 18000, Khybar Pakhtunkhwa, Pakistan.
Mohsen Alipour
 Department of Mathematics, Faculty of Basic Science, Babol University of Technology, P.O. Box 4714871167, Babol, Iran.
Rahmat Ali Khan
 Department of Mathematics, University of Malakand, Dir Lower, P. O Box 18000, Khybar Pakhtunkhwa, Pakistan.
Haleh Tajadodi
 Department of Mathematics, University of Mazandaran, P. O Box 4741695447, Babolsar, Iran.
Aziz Khan
 Department of Mathematics, University of Malakand, Dir Lower, P. O Box 18000, Khybar Pakhtunkhwa, Pakistan.
Abstract
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.
Keywords
 Fractional order Logistic equations
 Bernstein Polynomials
 Operational Matrices.
MSC
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