Representation of solutions for fractional kinetic equations with deviation time variable

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Date
2020
Authors
Drin, Yaroslav
Ushenko, V.
Drin, Iryna
Drin, Svitlana
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Abstract
We present a formula for classical solutions for time- and space-fractional kinetic equation (also known as fractional diffusion equation) and deviation time variable is given in terms of the Fox’s H-function, using the step by step method. This equations describe fractal properties of real data arising in applied fields such as turbulence, hydrology, ecology, geographic, air pollution, economics and finance.
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Keywords
fractal, diffusion equation, Fox’s H-function, deviation variable, step by step method, conference materials
Citation
Representation of solutions for fractional kinetic equations with deviation time variable [electronic resource] / Drin Y. M., Ushenko V. A., Drin I. I., Drin S. S. // Proceedings of SPIE - The International Society for Optical Engineering. - 2020. - Vol. 11369. - Article number 113690Q.