[HTML][HTML] Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

B Ahmad, JJ Nieto - Computers & Mathematics with Applications, 2009 - Elsevier
This paper studies a coupled system of nonlinear fractional differential equations with three-
point boundary conditions. Applying the Schauder fixed point theorem, an existence result is …

[KNIHA][B] Метод дробных производных

ВВ Учайкин - 2008 - elibrary.ru
Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

Unconditionally Convergent -Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

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 …

A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

AH Bhrawy, MA Abdelkawy - Journal of Computational Physics, 2015 - Elsevier
A shifted Legendre collocation method in two consecutive steps is developed and analyzed
to numerically solve one-and two-dimensional time fractional Schrödinger equations …

[PDF][PDF] Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions

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 …

The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum …

A Mohebbi, M Abbaszadeh, M Dehghan - Engineering Analysis with …, 2013 - Elsevier
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 …

Fractional modeling dynamics of HIV and CD4+ T-cells during primary infection

AAM Arafa, SZ Rida, M Khalil - Nonlinear biomedical physics, 2012 - Springer
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

B Ahmad, S Sivasundaram - Nonlinear Analysis: Hybrid Systems, 2009 - Elsevier
Existence results for nonlinear impulsive hybrid boundary value problems involving
fractional differential equations - ScienceDirect Skip to main contentSkip to article Elsevier …

On nonlinear fractional Klein–Gordon equation

AK Golmankhaneh, AK Golmankhaneh, D Baleanu - Signal Processing, 2011 - Elsevier
Numerical methods are used to find exact solution for the nonlinear differential equations. In
the last decades Iterative methods have been used for solving fractional differential …