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Fractional Calculus: Application and Results
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| Organization: | Visual Analysis |
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1999 International Mathematica Symposium
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http://www.internationalmathematicasymposium.org/IMS99/ims99papers/ims99papers.html
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Over the last two decades anomalous relaxation and diffusion processes have been studied from both the experimental and theoretical point of view. Anomalous transport processes occur usually in so-called complex, i.e. in disordered systems. Here, we review some recent developments in modeling non-standard relaxation and diffusion equations based on Riemann-Liouville fractional calculus techniques. Closed analytical expressions of the solutions of such fractional differential equations are given in terms of Fox's H-functions. The analytical calculations carried out are fully supported by our Mathematica package FractionalCalculus.
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diffusion processes, anomalous transport processes, fractional calculus, Riemann-Liouville, Fox's H-functions, FractionalCalculus
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