This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …

In this study, we present a framework to obtain analytical solutions to nonlinear fractional
Schrödinger equations. The homotopy perturbation method (HPM) is employed to derive …

The parameter-expansion method is applied to a nonlinear oscillator with discontinuity. One
iteration is sufficient to obtain a highly accurate solution, which is valid for the whole solution …

In this study, homotopy perturbation method (HPM) is used to obtain analytic and
approximate solutions of the space-and time-fractional telegraph equations. The space-and …

A variety of iterative methods for the solution of initial-and/or boundary-value problems in
ordinary and partial differential equations is presented. These iterative procedures provide …

In this paper, the solution of Cauchy reaction–diffusion problem is presented by means of
the homotopy perturbation method. Reaction–diffusion equations have special importance …

In this paper a new analytical method for solving the differential equations which describe
the motion of the oscillator with fraction order elastic force is introduced. Using the first …

A modified He's homotopy perturbation method (HHPM) is used to calculate the periodic
solutions of a conservative nonlinear oscillator for which the elastic force term is proportional …

Singular perturbation problems are of common occurrence in all branches of applied
mathematics and engineering. These problems are encountered in various fields such as …

A modified He's homotopy perturbation method is used to calculate the periodic solutions of
a nonlinear oscillator with discontinuities for which the elastic force term is proportional to …