In this work, the distributed-order time fractional version of the Schrödinger problem is
defined by replacing the first order derivative in the classical problem with this kind of …

Around there, we new examination has been done on past investigations of perhaps the
main numerical models that portray the worldwide monetary development and that is …

This paper is concerned with an operational matrix method based on the shifted Legendre
cardinal functions for solving the nonlinear variable-order time fractional Schrödinger …

In this paper, a new version of the strongly coupled nonlinear fractal-fractional Schrödinger
equations is introduced by using the fractal-fractional derivatives in the Riemann-Liouville …

Introduction Fractional nonlinear models have been widely used in the research of nonlinear
science. A fractional nonlinear Schrödinger equation with distributed coefficients is …

In this study, by generalizing the classical clique polynomials, a new set of functions called
the hybrid clique functions is defined. These functions retain the useful properties of the …

Introduction An interesting type of fractional derivatives that has received widespread
attention in recent years is the tempered fractional derivatives. These fractional derivatives …

This paper studies a quantum particle traveling in a fractal space-time, which can be
modelled by a fractional modification of the Schrödinger equation with variable coefficients …

In this paper, a novel formula expressing explicitly the fractional-order derivatives, in the
sense of Riesz-Feller operator, of Jacobi polynomials is presented. Jacobi spectral …

This work aims at presenting a new numerical solution to a nonlinear, one-dimensional
problem of heat wave propagation in a thick slab of a rigid thermal conductor. The model …