منابع مشابه
Retarding Sub- and Accelerating Super-diffusion Governed by Distributed Order Fractional Diffusion Equations
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The fundamental solution of the fractional diffusion equation of distributed order in time (usually adopted for modelling sub-diffusion processes) is obtained based on its Mellin-Barnes integral representation. Such solution is proved to be related via a Laplace-type integral to the Fox-Wright functions. A series expansion is also provided in order to point out the distribution of time-scales r...
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Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For processes lacking such scaling the corresponding description may be given by distributed-order equations. In the present paper we consider different forms of distributed-order fractional kinetic equations and investigate the effects descri...
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ژورنال
عنوان ژورنال: Fractals
سال: 2004
ISSN: 0218-348X,1793-6543
DOI: 10.1142/s0218348x04002410