NUMERICAL SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATION SYSTEM USING THE MUNTZ-LEGENDRE POLYNOMIALS

Fractional differential equations with Legendre polynomials

Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted Legendre Operational Matrices

Fractional differential equations (FDEs) have attracted in the recent years a considerable interest due to their frequent appearance in various fields and their more accurate models of systems under consideration provided by fractional derivatives. For example, fractional derivatives have been used successfully to model frequency dependent damping behavior of many viscoelastic materials. They a...

fractional differential equations with legendre polynomials

Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials

*Correspondence: [email protected] Department of Science, Huaihai Institute of Technology, Cangwu Road, Lianyungang, 222005, China Abstract We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense. We derive and utilize explicit expressions of weighting coef...

Legendre wavelets method for numerical solution of time-fractional heat equation

In this paper, we develop an efficient Legend...