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


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 47148-71167, 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 47416-95447, 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.


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