11 research outputs found
On Nonlinear Ultra "âHyperbolic Wave Operator
Get PDFIn this paper, we study the generalized wave equation of the for
A fractional-order model of HIV infection with drug therapy effect
Get PDFIn this paper, the fractional-order model that describes HIV infection of CD4+ T cells with therapy effect is given. Generalized Euler Method (GEM) is employed to get numerical solution of such problem. The fractional derivatives are described in the Caputo sense
Existence of solutions for fractional differential equations of order qâ(2,3] with anti-periodic boundary conditions
No full textOn Nonlocal Boundary Value Problems for Nonlinear Integro-differential Equations of Arbitrary Fractional Order
No full textOn the conservation laws and invariant analysis for time-fractional coupled Fitzhugh-Nagumo equations using the Lie symmetry analysis
No full textA comparative study of constant-order and variable-order fractional models in characterizing memory property of systems
No full textA fractional differential equation model for the COVID-19 transmission by using the CaputoâFabrizio derivative
No full textA new Jacobi spectral collocation method for solving 1+1 fractional Schrödinger equations and fractional coupled Schrödinger systems
No full textThe Jacobi spectral collocation method (JSCM) is constructed and used in combination with the operational matrix of fractional derivatives (described in the Caputo sense) for the numerical solution of the time-fractional Schrödinger equation (T-FSE) and the space-fractional Schrödinger equation (S-FSE). The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations, which greatly simplifies the solution process. In addition, the presented approach is also applied to solve the time-fractional coupled Schrödinger system (T-FCSS). In order to demonstrate the validity and accuracy of the numerical scheme proposed, several numerical examples with their approximate solutions are presented with comparisons between our numerical results and those obtained by other methods
