In this paper, we derived the shifted Jacobi operational matrix (JOM) of fractional derivatives
which is applied together with spectral tau method for numerical solution of general linear …

We are concerned with linear and nonlinear multi-term fractional differential equations
(FDEs). The shifted Chebyshev operational matrix (COM) of fractional derivatives is derived …

In this paper, we state and prove a new formula expressing explicitly the derivatives of
shifted Chebyshev polynomials of any degree and for any fractional-order in terms of shifted …

In this work, the exact operational matrices for shifted Pell polynomials are achievable; so
one can integrate and product the vector of basic functions s. The general form of the matrix …

In this paper, the (G'/G)-expansion method is extended to solve fractional partial differential
equations in the sense of modified Riemann—Liouville derivative. Based on a nonlinear …

This paper presents a computational technique based on the collocation method and Müntz
polynomials for the solution of fractional differential equations. An appropriate …

The area of fractional partial differential equations has recently become prominent for its
ability to accurately simulate complex physical events. The search for traveling wave …

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 …

In this paper, we propose and analyze a spectral Jacobi-collocation method for the
numerical solution of general linear fractional integro-differential equations. The fractional …

In this paper, we propose a new fractional sub-equation method for finding exact solutions of
fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville …