Fundamental solutions to the fractional heat conduction equation in a ball under Robin boundary condition

• Autorzy: Yuriy Povstenko
• Języki publikacji: EN

Abstrakty

EN

The central symmetric time-fractional heat conduction equation with Caputo derivative of order 0 < α ≤ 2 is considered in a ball under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of values of temperature and values of its normal derivative at the boundary, and the physical condition with the prescribed linear combination of values of temperature and values of the heat flux at the boundary, which is a consequence of Newton’s law of convective heat exchange between a body and the environment. The integral transform technique is used. Numerical results are illustrated graphically.

Słowa kluczowe

EN

Fractional calculus; Diffusion-wave equation; Mittag-Leffler function; Robin boundary condition; Non-Fourier heat conduction

Kategorie tematyczne

• 26A33: Fractional derivatives and integrals
• 45K05: Integro-partial differential equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 4
• Strony: 611-622

Daty

wydano

2014-04-01

online

2014-01-17

Twórcy

autor

Yuriy Povstenko

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0368-8