In this paper, we present a well-organized method to estimate the one-dimensional
fractional Rayleigh–Stokes model using the construction of orthogonal Gegenbauer …

The equilibrium radiation diffusion equation has been widely used in astrophysics, inertial
confinement fusion and others. Since the simulation domain consists of many complicated …

In this paper, the approximate solution u (x, t) of the one-dimensional fractional Rayleigh-
Stokes equation with initial and boundary conditions has been studied. This equation has …

The present study focuses on the two new hybrid methods: variational iteration J-transform
technique (J-VIT) and J-transform method with optimal homotopy analysis (OHAJTM) for …

To avoid the influence of abnormal data of micro-plant factory sensors on the control system,
an abnormal data detection method based on mixed kernel function particle swarm …

Velocity slip boundary condition for all Knudsen number values in microbearing gas flow is
modeled by fractional derivative. For this purpose, a variant of Caputo derivative with the …

In this paper, a higher order finite difference scheme is proposed for generalized fractional
diffusion equations (GFDEs). The fractional diffusion equation is considered in terms of the …