Abstract Space-time conformable fractional nonlinear (1+ 1)-dimensional Schrödinger-type
models are investigated in this paper. Traveling wave solutions using the sine-Gordon …

This paper addresses the numerical solution of the multi-dimensional variable-order
fractional integro-partial differential equations. The upwind scheme and a piecewise linear …

We survey the 'generalized fractional Poisson process'(GFPP). The GFPP is a renewal
process generalizing Laskin's fractional Poisson counting process and was first introduced …

We establish the well-posedness of an initial-boundary value problem for a general class of
linear time-fractional, advection-diffusion-reaction equations, allowing space-and time …

In the current study, we provide a novel technique based on discrete shifted Hahn
polynomials and Legendre–Gauss–Lobatto quadrature method for solving Caputo–Fabrizio …

We investigate the behavior of the time derivatives of the solution to a linear time-fractional,
advection–diffusion–reaction equation, allowing space-and time-dependent coefficients as …

In this present work, a well-structured and limit-based derivative definition of fractional
derivative term, known as conformable derivative, is employed to develop a local …

Recently the so-called Prabhakar generalization of the fractional Poisson counting process
attracted much interest for his flexibility to adapt to real world situations. In this renewal …

In this paper, we consider high order numerical methods for the solution of the initial-
boundary value problem of two-sided space fractional advection-diffusion equations …

In this paper, we derive the fractional convection (or advection) equations (FCEs)(or FAEs)
to model anomalous convection processes. Through using a continuous time random walk …