Numerical Solutions of Fractional Variable Order Differential Equations via Using Shifted Legendre Polynomials

• Published in: Computer modeling in engineering & sciences Vol. 134; no. 2; pp. 941 - 955
• Main Author: Shah, Kamal
• Format: Journal Article
• Language: English
• Published: Henderson Tech Science Press 2023
• Subjects: Algebra; Algorithms; Approximation; Calculus; Differential equations; Differentiation; Fractional calculus; Graphical representations; Initial conditions; Mathematical analysis; Methods; Numerical analysis; Polynomials; Researchers

In this manuscript, an algorithm for the computation of numerical solutions to some variable order fractional differential equations (FDEs) subject to the boundary and initial conditions is developed. We use shifted Legendre polynomials for the required numerical algorithm to develop some operationa...