Fractional differentials provide more accurate models of systems under consideration. In this
paper, approximation techniques based on the shifted Legendre-tau idea are presented to …

In this article we propose a numerical scheme to solve the pantograph equation. The
method consists of expanding the required approximate solution as the elements of the …

In this paper, Bernstein polynomials method is proposed for the numerical solution of a class
of variable order fractional linear cable equation. In this paper, we adopted Bernstein …

In this paper, using the collocation method we solve the nonlinear fractional integro-
differential equations (NFIDE) of the form: f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= λ G (t, y …

A numerical direct method for solving a general class of fractional optimal control problems
(FOCPs) is presented. In the discussed FOCP, the fractional derivative in the dynamical …

Abstract Recently, Zayernouri and Karniadakis in (2013)[78] investigated two classes of
fractional Sturm–Liouville eigenvalue problems on compact interval [a, b] in more detail …

In this paper we use the Jacobi collocation method for solving a special kind of the fractional
advection-diffusion equation with a nonlinear source term. This equation is the classical …

In this paper, we obtain the numerical method for the fractional order singular Volterra
integro-differential equations which are typical for the theory of Brownian motion based on …

A Numerical Approach for Multi-variable Orders Differential Equations Using Jacobi
Polynomials | International Journal of Applied and Computational Mathematics Skip to main …

In this paper, a fast numerical algorithm based on the Taylor wavelets is proposed for finding
the numerical solutions of the fractional integro‐differential equations with weakly singular …