In this paper, we recall some basic facts and preliminaries related to fractional calculus by
making a literature review for its definitions and properties. This would provide sufficient …

Viscosity is an essential parameter of fluid physical properties for assaying the heat transfer
when designing a nanofluid system. For this purpose, this article investigates the effect of …

This study is carried out to analyze the problem of mixed convection magnet nanoflow of
Prandtl fluid through a non-uniform channel with peristalsis. The external influences of …

The viscosity of fluids has an essential role in blood circulation through veins and arteries.
So, this paper focuses on the influences of dependent-viscosity on the peristaltic flow of …

In this paper, we proposed a novel analytical technique for one-dimensional fractional heat
equations with time fractional derivatives subjected to the appropriate initial condition. This …

We provide an effective simulation to investigate the solution behavior of nine-dimensional
chaos for the fractional (Caputo-sense) Lorenz system using a new approximate technique …

In this paper, a relatively new semi-analytical method, called differential transformation
method (DTM), is generalized to analyze the free vibration problem of pipes conveying fluid …

In this paper, some nonlinear space-fractional order reaction-diffusion equations (SFORDE)
on a finite but large spatial domain x∈[0, L], x= x (x, y, z) and t∈[0, T] are considered. Also in …

This study is carried out to analyze the problem of MHD mixed convection flow of Bingham
nanofluid through a non-Darcy porous medium in a tube with peristalsis. Activation energy …

In this paper, the multi-step differential transform method (MDTM), one of the most effective
method, is implemented to compute an approximate solution of the system of nonlinear …