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

• 作者: R. F. Al-Bar
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: FRACTIONAL LOGISTIC Equation Riemann-Liouville FRACTIONAL Derivatives Riemann-Liouville FRACTIONAL Integral OPERATIONAL Matrix BERNSTEIN POLYNOMIALS
• 年，卷（期）: 2015,（12）
• 页码范围: 2096-2103
• 页数: 8页
• 分类号: O1

摘要

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.