Homotopy analysis method for space‐time fractional differential equations

Applications of variational iteration and homotopy perturbation methods to obtain exact solutions for time‐fractional diffusion‐wave equations

(2014) I˙nan Ates¸ et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

An approximate analytical solution of time-fractional telegraph equation

(2011) S. Das et al.   APPLIED MATHEMATICS AND COMPUTATION

Homotopy analysis method for solving a class of fractional partial differential equations

(2011) A. Elsaid   Communications in Nonlinear Science and Numerical Simulation

He's homotopy perturbation method for solving the fractional KdV‐Burgers‐Kuramoto equation

(2011) Sefa Anıl Sezer et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

The variational iteration method for solving Riesz fractional partial differential equations

(2010) A. Elsaid   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Modified homotopy perturbation method for solving the Stokes equations

(2010) Xinlong Feng et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Three-dimensional flow of upper-convected Maxwell (UCM) fluid

(2010) T. Hayat et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Analytical approach to Boussinesq equation with space- and time-fractional derivatives

(2010) Ahmet Yıldırım et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Homotopy perturbation method for the nonlinear dispersiveK(m,n, 1) equations with fractional time derivatives

(2010) Hüseyin Koçak et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Homotopy perturbation method for numerical solutions of coupled Burgers equations with time‐ and space‐fractional derivatives

(2010) Ahmet Yıldırım et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Homotopy perturbation method for solving the space–time fractional advection–dispersion equation

(2009) Ahmet Yıldırım et al.   ADVANCES IN WATER RESOURCES

A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations

(2009) Zaid Odibat et al.   APPLIED MATHEMATICAL MODELLING

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

(2009) Q. Yang et al.   APPLIED MATHEMATICAL MODELLING

Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

(2009) R. Lin et al.   APPLIED MATHEMATICS AND COMPUTATION

Homotopy analysis method for solving multi-term linear and nonlinear diffusion–wave equations of fractional order

(2009) H. Jafari et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Solving the fractional BBM–Burgers equation using the homotopy analysis method

(2007) Lina Song et al.   CHAOS SOLITONS & FRACTALS

Some exact solutions for fractional generalized Burgers’ fluid in a porous space

(2007) Masood Khan et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS