Recently, operational matrices were adapted for solving several kinds of fractional
differential equations (FDEs). The use of numerical techniques in conjunction with …

In this paper, we are concerned with finding numerical solutions to the class of time–space
fractional partial differential equations: D tpu (t, x)+ κ D xpu (t, x)+ τ u (t, x)= g (t, x), 1< p< 2,(t …

The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …

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 …

This paper deals with the numerical solution of classes of fractional convection–diffusion
equations with variable coefficients. The fractional derivatives are described based on the …

An effective analytical technique, called q-homotopy analysis transform method (q-HATM) is
demonstrated in order to analyse a fractional model of telegraph equations. Test examples …

This paper presents a numerical method for solving a class of fractional optimal control
problems (FOCPs). The fractional derivative in these problems is in the Caputo sense. The …

In this work, we have generalized the time-fractional telegraph equation using the concept of
derivative of fractional variable order. The generalized equation is called time-fractional …

In this paper, we implement the radial basis functions for solving a classical type of time-
fractional telegraph equation defined by Caputo sense for (1< α≤ 2). The presented method …

Fractional calculus has been used to model physical and engineering processes that are
found to be best described by fractional differential equations. For that reason we need a …