Homotopy analysis method for fractional IVPs

Fractional differential equations

1999 • 20,349 citations

An Introduction to the Fractional Calculus and Fractional Differential Equations

1993 • 8,114 citations

Beyond Perturbation: Introduction to the Homotopy Analysis Method

2004 • 2,716 citations

Untitled

2002 • 1,876 citations

Fractals and Fractional Calculus in Continuum Mechanics

1997 • 1,748 citations

On the homotopy analysis method for nonlinear problems

2003 • 1,721 citations

A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations

2013 • 1,272 citations

Fractional Calculus: Integral and Differential Equations of Fractional Order

2008 • 1,115 citations

Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order

2006 • 718 citations

An explicit, totally analytic approximate solution for Blasius’ viscous flow problems

1999 • 618 citations

An approximate solution technique not depending on small parameters: A special example

1995 • 596 citations

On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet

2003 • 583 citations

Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order

2006 • 431 citations

Homotopy perturbation method for nonlinear partial differential equations of fractional order

2007 • 386 citations

Numerical comparison of methods for solving linear differential equations of fractional order

2005 • 371 citations

A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanics

1997 • 355 citations

The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation

2006 • 350 citations

Analytical approximate solutions for nonlinear fractional differential equations

2002 • 272 citations

Analytic solutions of the temperature distribution in Blasius viscous flow problems

2002 • 265 citations

Homotopy analysis method for heat radiation equations

2007 • 254 citations

AN EXPLICIT TOTALLY ANALYTIC APPROXIMATION OF BLASIUS VISCOUS FLOW PROBLEMS

1999 • 246 citations

An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method

2004 • 238 citations

Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid

2004 • 238 citations

Exact flow of a third grade fluid past a porous plate using homotopy analysis method

2003 • 211 citations

Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method

2007 • 186 citations

Application of homotopy analysis method to fractional KdV–Burgers–Kuramoto equation

2007 • 172 citations

AN APPROXIMATE SOLUTION TECHNIQUE WHICH DOES NOT DEPEND UPON SMALL PARAMETERS: A SPECIAL EXAMPLE

1995 • 166 citations

Solving systems of ODEs by homotopy analysis method

2007 • 90 citations

Magnetohydrodynamic flow of an Oldroyd 6-constant fluid

2003 • 70 citations

Solution of an extraordinary differential equation by Adomian decomposition method

2004 • 68 citations

Approximate analytical solution to fractional modified KdV equations

2008 • 50 citations

Assessment of decomposition method for linear and nonlinearfractional differential equations

2007 • 12 citations