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Proceedings Paper

Representation of solution for fully nonlocal diffusion equations with deviation time variable
Author(s): I. I. Drin; S. S. Drin; Ya. M. Drin
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Paper 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.

Paper Details

Date Published: 18 January 2018
PDF: 8 pages
Proc. SPIE 10612, Thirteenth International Conference on Correlation Optics, 106120E (18 January 2018); doi: 10.1117/12.2304312
Show Author Affiliations
I. I. Drin, National Univ. of Trade and Economics (Ukraine)
S. S. Drin, National Univ. of Kyiv-Mohyla Academy (Ukraine)
Ya. M. Drin, Yuriy Fedkovych Chernivtsi National Univ. (Ukraine)

Published in SPIE Proceedings Vol. 10612:
Thirteenth International Conference on Correlation Optics
Oleg V. Angelsky, Editor(s)

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