Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 38, Issue 42, Pages L679-L684Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/38/42/L03
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Starting from the continuous time random walk (CTRW) scheme with the space-dependent waiting-time probability density function (PDF) we obtain the time-fractional diffusion equation with varying in space fractional order of time derivative. As an example, we study the evolution of a composite system consisting of two separate regions with different subdiffusion exponents and demonstrate the effects of non-trivial drift and subdiffusion whose laws are changed in the course of time.
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