An approximate solution to the transient space-fractional diffusion equation: Integral-balance approach, optimization problems and analyzes

This paper presents approximate analytical solutions of an initial-boundary value problem of fractional partial differential diffusion equation with spatial Riemann-Liouville fractional derivative. The proposed approximate solutions are based on the concept of a finite penetration depth with the int...

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Veröffentlicht in:Thermal science 2017-01, Vol.21 (1 Part A), p.309-321
1. Verfasser: Hristov, Jordan Y
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper presents approximate analytical solutions of an initial-boundary value problem of fractional partial differential diffusion equation with spatial Riemann-Liouville fractional derivative. The proposed approximate solutions are based on the concept of a finite penetration depth with the integral-balance method and series expansions of the assumed parabolic profile with undefined exponent. Optimization problems referring to optimal exponents of the assumed parabolic have been developed.
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI160113075H