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

Application of Fibonacci collocation method for solving Volterra–Fredholm integral equations

(2016) Farshid Mirzaee et al.   APPLIED MATHEMATICS AND COMPUTATION

Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation

(2015) N.H. Sweilam et al.   CHAOS SOLITONS & FRACTALS

Some results on convolved (p,q)-Fibonacci polynomials

(2015) Weiping Wang et al.   INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

New Galerkin operational matrix of derivatives for solving Lane-Emden singular-type equations

(2015) W. M. Abd-Elhameed   European Physical Journal Plus

New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations

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

Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations

(2014) E. Keshavarz et al.   APPLIED MATHEMATICAL MODELLING

On the approximate solutions for system of fractional integro-differential equations using Chebyshev pseudo-spectral method

(2013) M.M. Khader et al.   APPLIED MATHEMATICAL MODELLING

A new approach to generalized Fibonacci and Lucas numbers with binomial coefficients

(2013) H.H. Gulec et al.   APPLIED MATHEMATICS AND COMPUTATION

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

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

Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials

(2013) W.M. Abd-Elhameed et al.   Quaestiones Mathematicae

A new Fibonacci type collocation procedure for boundary value problems

(2013) Ayşe Koç et al.   Advances in Difference Equations

Efficient Solutions of Multidimensional Sixth-Order Boundary Value Problems Using Symmetric Generalized Jacobi-Galerkin Method

(2012) E. H. Doha et al.   Abstract and Applied Analysis

An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations

(2012) Saeed Kazem   APPLIED MATHEMATICAL MODELLING

New algorithms for solving high even-order differential equations using third and fourth Chebyshev–Galerkin methods

(2012) E.H. Doha et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations

(2011) E.H. Doha et al.   APPLIED MATHEMATICAL MODELLING

The Legendre wavelet method for solving fractional differential equations

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

A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

(2011) E.H. Doha et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical solution of two-sided space-fractional wave equation using finite difference method

(2010) N.H. Sweilam et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Solving two-point boundary value problems using combined homotopy perturbation method and Green’s function method

(2009) Yong-Gang Wang et al.   APPLIED MATHEMATICS AND COMPUTATION

A new operational matrix for solving fractional-order differential equations

(2009) Abbas Saadatmandi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

Analytical solution of a fractional diffusion equation by variational iteration method

(2008) S. Das   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On k-Fibonacci sequences and polynomials and their derivatives

(2007) Sergio Falcón et al.   CHAOS SOLITONS & FRACTALS