Generalized Lucas polynomial sequence approach for fractional differential equations

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

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

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

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

An innovative harmonic numbers operational matrix method for solving initial value problems

(2016) Anna Napoli et al.   CALCOLO

New quadrature approach based on operational matrix for solving a class of fractional variational problems

(2016) S.S. Ezz-Eldien   JOURNAL OF COMPUTATIONAL PHYSICS

An Efficient Numerical Scheme for Solving Multi-Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index

(2015) A. H. Bhrawy et al.   ASIAN JOURNAL OF CONTROL

A new Legendre operational technique for delay fractional optimal control problems

(2015) A. H. Bhrawy et al.   CALCOLO

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

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

Fractional oscillator equation: analytical solution and algorithm for its approximate computation

(2015) Tomasz Blaszczyk 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

An efficient Haar wavelet collocation method for the numerical solution of multi-term fractional differential equations

(2015) S. C. Shiralashetti 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

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

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

(2014) A. H. Bhrawy et al.   NONLINEAR DYNAMICS

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

On the generalized Apostol-type Frobenius-Euler polynomials

(2013) Burak Kurt et al.   Advances in Difference Equations

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

On the properties of Lucas numbers with binomial coefficients

(2009) N. Taskara et al.   APPLIED MATHEMATICS LETTERS

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

Fractional derivatives in complex planes

(2009) Changpin Li et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Analytical solution of a fractional diffusion equation by variational iteration method

(2008) S. Das   COMPUTERS & MATHEMATICS WITH APPLICATIONS