Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations

Generalized Lucas polynomial sequence approach for fractional differential equations

(2017) W. M. Abd-Elhameed et al.   NONLINEAR DYNAMICS

A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation

(2017) Youssri H Youssri   Advances in Difference Equations

Shifted fractional-order Jacobi orthogonal functions: Application to a system of fractional differential equations

(2016) A.H. Bhrawy et al.   APPLIED MATHEMATICAL MODELLING

The Müntz-Legendre Tau method for fractional differential equations

(2016) P. Mokhtary et al.   APPLIED MATHEMATICAL MODELLING

A hybrid algorithm for Caputo fractional differential equations

(2016) G.H.O. Salgado et al.   Communications in Nonlinear Science and Numerical Simulation

Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations

(2016) Xiaojun Tang et al.   Communications in Nonlinear Science and Numerical Simulation

A Novel Operational Matrix of Caputo Fractional Derivatives of Fibonacci Polynomials: Spectral Solutions of Fractional Differential Equations

(2016) Waleed Abd-Elhameed et al.   Entropy

Numerical Solution of the Two-Sided Space–Time Fractional Telegraph Equation Via Chebyshev Tau Approximation

(2016) Ali H. Bhrawy et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications

(2016) Behrouz Parsa Moghaddam et al.   JOURNAL OF SCIENTIFIC COMPUTING

An efficient cubic spline approximation for variable-order fractional differential equations with time delay

(2016) Shole Yaghoobi et al.   NONLINEAR DYNAMICS

New Tchebyshev-Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations

(2016) W. M. Abd-Elhameed et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

An efficient algorithm for solving fractional differential equations with boundary conditions

(2016) Sertan Alkan et al.   Open Physics

Collocation for high order differential equations with two-points Hermite boundary conditions

(2015) Francesco Aldo Costabile et al.   APPLIED NUMERICAL MATHEMATICS

Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation

(2015) AH Bhrawy et al.   JOURNAL OF VIBRATION AND CONTROL

A review of operational matrices and spectral techniques for fractional calculus

(2015) Ali H. Bhrawy et al.   NONLINEAR DYNAMICS

New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations

(2014) W. M. Abd-Elhameed et al.   Abstract and Applied Analysis

A method for high-order multipoint boundary value problems with Birkhoff-type conditions

(2014) F. Costabile et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Exponentially accurate spectral and spectral element methods for fractional ODEs

(2013) Mohsen Zayernouri et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Second kind Chebyshev operational matrix algorithm for solving differential equations of Lane–Emden type

(2013) E.H. Doha et al.   NEW ASTRONOMY

The Legendre wavelet method for solving fractional differential equations

(2011) Mujeeb ur Rehman et al.   Communications in Nonlinear Science and Numerical Simulation

Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials

(2011) Shahrokh Esmaeili et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A tau approach for solution of the space fractional diffusion equation

(2011) Abbas Saadatmandi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On Riemann-Liouville and Caputo Derivatives

(2011) Changpin Li et al.   DISCRETE DYNAMICS IN NATURE AND SOCIETY

Introduction to fractional integrability and differentiability

(2011) C.P. Li et al.   European Physical Journal-Special Topics

Sextic spline collocation methods for nonlinear fifth-order boundary value problems

(2011) A. Lamnii et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

The solution of the Bagley–Torvik equation with the generalized Taylor collocation method

(2009) Yücel Çenesiz et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS