Alipour, M. and Rostamy, D. (2011) Bernstein Polynomials for Solving Abel’s Integral Equation. The Journal of Mathematics and Computer Science, 3, 403-412.

has been cited by the following article:

• TITLE: On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials

  AUTHORS: R. F. Al-Bar

  KEYWORDS: Fractional Logistic Equation, Riemann-Liouville Fractional Derivatives, Riemann-Liouville Fractional Integral, Operational Matrix, Bernstein Polynomials

  JOURNAL NAME: Applied Mathematics, Vol.6 No.12, November 26, 2015

  ABSTRACT: In this paper, operational matrices of Bernstein polynomials (BPs) are presented for solving the non-linear fractional Logistic differential equation (FLDE). The fractional derivative is described in the Riemann-Liouville sense. The operational matrices for the fractional integration in the Riemann-Liouville sense and the product are used to reduce FLDE to the solution of non-linear system of algebraic equations using Newton iteration method. Numerical results are introduced to satisfy the accuracy and the applicability of the proposed method.