The homotopy perturbation method (HPM) was proposed by Ji-Huan. He was a rising star in
analytical methods, and all traditional analytical methods had abdicated their crowns. It is …

In this paper, a tutorial introduction to the two-scale fractal calculus is given. The two-scale
fractal derivative is conformable with the traditional differential derivatives. When the fractal …

The current study looks at the peristaltically driven motion of Carreau fluid in a symmetric
channel under the influence of an induced and applied magnetic field. Tantalum (Ta) and …

In this article, we examine the mechanism of cobalt and tantalum nanoparticles through a
hybrid fluid model. The nanofluid is propagating through an anisotropically tapered artery …

The center of interest of this research study is to unfold the phenomena in the electric double
layer (EDL) adjacent to the indicted peristaltic wall and its impact on a peristaltic transport of …

The fractal Toda oscillator with an exponentially nonlinear term is extremely difficult to solve;
Elias-Zuniga et al.(2020) suggested the equivalent power-form method. In this paper, first …

In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …

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 …

The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …

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 …