A numerical method for solving fractional differential equations

• Published in: Engineering computations Vol. 36; no. 2; pp. 551 - 568
• Main Authors: ul Abdeen, Zain, Rehman, Mujeeb ur
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 11.03.2019; Emerald Group Publishing Limited
• Subjects: Boundary value problems; Fractional calculus; Integral equations; Linearization; Nonlinear differential equations; Nonlinear equations; Numerical analysis; Numerical methods; Quadratures; Robustness (mathematics); Quadrature method; Fractional differential equations; Numerical solutions; Caputo derivative

Purpose The purpose of this paper is to present a computational technique based on Newton–Cotes quadrature rule for solving fractional order differential equation. Design/methodology/approach The numerical method reduces initial value problem into a system of algebraic equations. The method presente...