This tutorial review of fractal-Cantorian spacetime and fractional calculus begins with
Leibniz's notation for derivative without limits which can be generalized to discontinuous …

A brief introduction to the development of the homotopy perturbation method is given, and
the main milestones are elucidated with more than 90 references. This paper further …

Abstract This paper highlights Li-He's approach in which the enhanced perturbation method
is linked with the parameter expansion technology in order to obtain frequency amplitude …

A governing equation is established for string axial vibrations with temporal and spatial
dam** forces by the Hamilton principle. It is an extension of the well-known Klein-Gordon …

In this article, we find the solution of time‐fractional Belousov–Zhabotinskii reaction by
implementing two well‐known analytical techniques. The proposed methods are the …

The hybrid nanofluid flow under suspension of Gold and Magnesium oxide nanoparticles
(Au/MgO-NPs) propagating between vertical parallel plates is investigated. Sodium alginate …

In this paper, a new perturbation method is proposed. In contrast to the traditional
perturbation methods, this technique does not require a small parameter in an equation. In …

Application of homotopy perturbation method to nonlinear wave equations - ScienceDirect Skip
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Homotopy perturbation method is applied to nonlinear boundary value problems.
Comparison of the result obtained by the present method with that obtained by Adomian …

The homotopy perturbation method for nonlinear oscillators with discontinuities -
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