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4.944  Articles
1 of 495 pages  |  10  records  |  more records»
In this paper, we formulate an initial-value problem of generalized anomalous diffusion equation consisting second order in two dimensional space and fractional order in time derivatives and then solve it by applying a series involving bilinear Eigen func... see more

Diffusion is a natural or artificial process that governs many phenomena in nature. The most known diffusion is the Brownian or normal motion, where the mean-square-displacement of the tracer (diffusive particle among others) increases as the square-root ... see more

In this paper, we formulate an initial-value problem of generalized anomalous diffusion equation consisting second order in two dimensional space and fractional order in time derivatives and then solve it by applying a series involving bilinear Eigen func... see more

In the current paper, we present an efficient direct scheme for weakly singularVolterra integro-differential equations arising in theory of anomalous diffusion. The behav-ior of the system demonstrating the anomalous diffusion is significant for small tim... see more

We devote this work to investigate the solutions of a generalized diffusion equation which contains spatial fractional derivatives and nonlinear terms. The presence of external forces and absorbent terms is also considered. The solutions found here can ha... see more

The fluorescence recovery after photobleaching (FRAP) technique has been used for decades to measure movements of molecules in two-dimension (2D). Data obtained by FRAP experiments in cell plasma membranes are assumed to be described through a means of tw... see more

Computer simulation methods were used to investigate the particle diffusion in the periodic spatial potential under constant force exposure. The paper shows that, unlike a superdamped case, in the systems with weak energy dissipation a new critical force ... see more

In this work we investigate the anomalous diffusion equations, usually applied to describe the anomalous diffusion, which employ fractional derivatives for the time or the spatial variables. In particular, we obtain exact solutions by taking a generic ini... see more

This work aimed to investigate a nonlinear diffusion equation by considering the presence of a time dependent diffusion coefficient, convective and absorbent terms. The nonlinear terms present in the diffusion equation are consequence of employing a nonli... see more

1 of 495 pages  |  10  records  |  more records»