Stretched flows past over a deformable surfaces has numerous applications. Utilization of
Hall and Ion slip effects has been considered to model three-dimensional flow of Williamson …

In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional
derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed …

This paper gives a highly efficient technique to analyse the fractional BBM-Burger equation
and fractional Diffusion-Wave equation. These equations are used to model various real-life …

In this paper, we aim to present a powerful approach for the approximate results of multi-
dimensional diffusion problems with time-fractional derivatives. The fractional order is …

This work comprises the contribution of buoyancy forces, linear and quadratic convection on
cross Nano fluid under the effects of dipole effects with chemical reaction. The flow of a cross …

The main objective of this manuscript is to examine the behavior of cold plasma system
governed by nonlinear fractional partial differential equations in the sense of Caputo …

In this study, an accurate analytical solution is presented for fuzzy FPDEs. It is done by using
a novel method called the Laplace-residual power series (LRPSM) to build a series solution …

This work presents the analytical study of one dimensional time-fractional nonlinear
Schrödinger equation arising in quantum mechanics. In present research, we establish an …

Abstract The (3+ 1)-dimensional Schrödinger model plays an importance role in capturing
highly nonlinear optical phenomena with ultra-short pulses. In this regard, the objective of …

The reproducing kernel Hilbert space method (RK-HS method) is used in this research for
solving some important nonlinear systems of fractional ordinary differential equations, such …