Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel

On systems of nonlinear equations: some modified iteration formulas by the homotopy perturbation method with accelerated fourth- and fifth-order convergence

(2016) K. Sayevand et al.   APPLIED MATHEMATICAL MODELLING

Modeling and simulation of the fractional space-time diffusion equation

(2016) J.F. Gómez-Aguilar et al.   Communications in Nonlinear Science and Numerical Simulation

A new material identification pattern for the fractional Kelvin–Zener model describing biomaterials and human tissues

(2016) Dragan T. Spasic et al.   Communications in Nonlinear Science and Numerical Simulation

A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow

(2016) Jagdev Singh et al.   Entropy

A hybrid computational approach for Klein–Gordon equations on Cantor sets

(2016) Devendra Kumar et al.   NONLINEAR DYNAMICS

A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

(2016) Xiao-Jun Yang et al.   Thermal Science

Transient heat diffusion with a non-singular fading memory: From the Cattaneo constitutive equation with Jeffrey’s Kernel to the Caputo-Fabrizio time-fractional derivative

(2016) Jordan Hristov   Thermal Science

Variational iteration method as a kernel constructive technique

(2015) Guo-Cheng Wu et al.   APPLIED MATHEMATICAL MODELLING

Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel

(2015) José Gómez-Aguilar et al.   Entropy

Higher order numeric solutions of the Lane–Emden-type equations derived from the multi-stage modified Adomian decomposition method

(2015) Jun-Sheng Duan et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

An algorithm based on the variational iteration technique for the Bratu-type and the Lane–Emden problems

(2015) Nilima Das et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

Exact solutions of non-linear fractional partial differential equations by fractional sub-equation method

(2015) Hong-Cai Ma et al.   Thermal Science

Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method

(2015) Lei Lu et al.   Advances in Applied Mathematics and Mechanics

Approximate Solutions of the Generalized Abel’s Integral Equations Using the Extension Khan’s Homotopy Analysis Transformation Method

(2015) Mohamed S. Mohamed et al.   Journal of Applied Mathematics

A modified homotopy analysis method for solution of fractional wave equations

(2015) Xiang-Bao Yin et al.   Advances in Mechanical Engineering

Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel

(2015) Abdon Atangana et al.   Advances in Mechanical Engineering

A fractional model to describe the Brownian motion of particles and its analytical solution

(2015) Jing-Jing Yao et al.   Advances in Mechanical Engineering

New analytical method for gas dynamics equation arising in shock fronts

(2014) Sunil Kumar et al.   COMPUTER PHYSICS COMMUNICATIONS

A compact difference scheme for a two dimensional fractional Klein–Gordon equation with Neumann boundary conditions

(2014) Seakweng Vong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method

(2014) Jun-Sheng Duan et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

High-order difference scheme for the solution of linear time fractional klein-gordon equations

(2014) Akbar Mohebbi et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

An Efficient Approach for Fractional Harry Dym Equation by Using Sumudu Transform

(2013) Devendra Kumar et al.   Abstract and Applied Analysis

Variational iteration method for the Burgers’ flow with fractional derivatives—New Lagrange multipliers

(2013) Guo-Cheng Wu et al.   APPLIED MATHEMATICAL MODELLING

A new analytical modelling for fractional telegraph equation via Laplace transform

(2013) Sunil Kumar   APPLIED MATHEMATICAL MODELLING

Exact Solutions of Space-Time Fractional Variant Boussinesq Equations

(2012) Shimin Guo et al.  

Generalized Euler–Lagrange equations for fractional variational problems with free boundary conditions

(2011) S.A. Yousefi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the coupling of the homotopy perturbation method and Laplace transformation

(2011) Mohammad Madani et al.   MATHEMATICAL AND COMPUTER MODELLING

Homotopy perturbation transform method for nonlinear equations using He’s polynomials

(2010) Yasir Khan et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An approximate analytic solution of the nonlinear Riccati differential equation

(2010) Pa-Yee Tsai et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Free vibration of the nonlinear pendulum using hybrid Laplace Adomian decomposition method

(2009) Pa-Yee Tsai et al.   International Journal for Numerical Methods in Biomedical Engineering

Beyond Adomian polynomials: He polynomials

(2007) Asghar Ghorbani   CHAOS SOLITONS & FRACTALS