Approximate Solutions of Non-linear Fractional Schrodinger Equation Via Differential Transform Method and Modified Differential Transform Method

Fractional Schrödinger equations with potential and optimal controls

(2012) JinRong Wang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method

(2011) Jincun Liu et al.   APPLIED MATHEMATICS AND COMPUTATION

An analytic algorithm for the space–time fractional advection–dispersion equation

(2011) Ram K. Pandey et al.   COMPUTER PHYSICS COMMUNICATIONS

The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition

(2011) Jiaqian Hu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

High-order finite element methods for time-fractional partial differential equations

(2011) Yingjun Jiang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A reliable aftertreatment for improving the differential transformation method and its application to nonlinear oscillators with fractional nonlinearities

(2010) Abd Elhalim Ebaid   Communications in Nonlinear Science and Numerical Simulation

Numerical study of nonlinear Schrödinger and coupled Schrödinger equations by differential transformation method

(2010) A. Borhanifar et al.   OPTICS COMMUNICATIONS

A new operational matrix for solving fractional-order differential equations

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

Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations

(2008) A.S.V. Ravi Kanth et al.   CHAOS SOLITONS & FRACTALS

Solitary wave solutions for the KdV and mKdV equations by differential transform method

(2008) Figen Kangalgil et al.   CHAOS SOLITONS & FRACTALS

Differential transform method for solving the linear and nonlinear Klein–Gordon equation

(2008) A.S.V. Ravi Kanth et al.   COMPUTER PHYSICS COMMUNICATIONS

Analytical solution of a fractional diffusion equation by variational iteration method

(2008) S. Das   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Tuning and auto-tuning of fractional order controllers for industry applications

(2008) Concepción A. Monje et al.   CONTROL ENGINEERING PRACTICE

The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method

(2008) Mustafa Inc   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Generalized differential transform method: Application to differential equations of fractional order

(2007) Zaid Odibat et al.   APPLIED MATHEMATICS AND COMPUTATION

Solving systems of fractional differential equations using differential transform method

(2007) Vedat Suat Ertürk et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the solution of the fractional nonlinear Schrödinger equation

(2007) S.Z. Rida et al.   PHYSICS LETTERS A

Numerical methods for nonlinear partial differential equations of fractional order

(2006) Zaid Odibat et al.   APPLIED MATHEMATICAL MODELLING