D Li, J Wang, J Zhang - SIAM Journal on Scientific Computing, 2017 - SIAM
In this paper, a linearized L1-Galerkin finite element method is proposed to solve the multidimensional nonlinear time-fractional Schrödinger equation. In terms of a temporal …
Книга содержит изложение метода дробных производных и состоит из трех частей, раскрывающих физические основания метода, математический аппарат и примеры …
A shifted Legendre collocation method in two consecutive steps is developed and analyzed to numerically solve one-and two-dimensional time fractional Schrödinger equations …
B Ahmad, JJ Nieto - Boundary value problems, 2009 - Springer
This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order with integral boundary conditions …
In this paper, we propose a numerical method for the solution of the time-fractional nonlinear Schrödinger equation in one and two dimensions which appear in quantum mechanics. In …
In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4+ T cells. We study the effect of the changing the average number of viral particles N with different sets …
Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations - ScienceDirect Skip to main contentSkip to article Elsevier …
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 …