Afterwards, the predictor corrector method is used to solve the nonlinear fractional time-dependent equation.
Numerical examples are used to determine how the fractional order affects the time dependent properties of the foundation and ground settlement, and to simulate the case history of a large standpipe constructed over Tertiary sediments.
The effectiveness of the proposed approach is demonstrated through a variety of canonical problems, spanning a number of scientific domains, including the Navier Stokes, Schrödinger, Kuramoto Sivashinsky, and time dependent linear fractional equations.
Renormalized Fokker Planck equations with time dependent dispersion tensors and fractional derivatives are presented at the macro scale.
For that, the time dependent evolution of the fractional occupancy distribution between the GARD and the quasispecies equation were compared.
We show the order reduction phenomenon associated to the fractional implicit Euler method, which typically appears if the boundary conditions are time dependent and a natural evaluation of them is done.
Echocardiography revealed time dependent improvement of left ventricular function evaluated by M-mode, fractional shortening, anterior wall tissue velocity, wall motion score index, strain and strain rate in animals treated with VEGF plus PDGF overexpressed stem cells (VIP) compared to nanofiber expanded cells (Exp), freshly isolated cells (FCB) or media control (Media).
By recording time dependent fluorescence signals, it is possible to distinguish and estimate the fractional contribution of multiple fluorophores with a monochromatic data set, allowing for fast acquisition protocols.
In this paper, the mathematical analysis of a time dependent inverse source problem with additional measurement data at a boundary point for the fractional diffusion equation is done.
That proximity eliminates fractional time lags created by communications links.
Trip time dependent on tides.
