18 January 2018 Representation of solution for fully nonlocal diffusion equations with deviation time variable
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Proceedings Volume 10612, Thirteenth International Conference on Correlation Optics; 106120E (2018) https://doi.org/10.1117/12.2304312
Event: Thirteenth International Conference on Correlation Optics, 2017, Chernivtsi, Ukraine
Abstract
We prove the solvability of the Cauchy problem for a nonlocal heat equation which is of fractional order both in space and time. The representation formula for classical solutions for time- and space- fractional partial differential operator Dat + a2 (-Δ) γ/2 (0 ≤ α ≤ 1, γ ε (0, 2]) and deviation time variable is given in terms of the Fox H-function, using the step by step method.
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I. I. Drin, I. I. Drin, S. S. Drin, S. S. Drin, Ya. M. Drin, Ya. M. Drin, } "Representation of solution for fully nonlocal diffusion equations with deviation time variable", Proc. SPIE 10612, Thirteenth International Conference on Correlation Optics, 106120E (18 January 2018); doi: 10.1117/12.2304312; https://doi.org/10.1117/12.2304312
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