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Linear fractional diffusion-wave equation for scientists and engineers / Yuriy Povstenko
| Linear fractional diffusion-wave equation for scientists and engineers / Yuriy Povstenko |
| Autore | Povstenko, Yuriy |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | XIV, 460 p. : ill. ; 24 cm |
| Soggetto topico |
26A33 - Fractional derivatives and integrals [MSC 2020]
35K05 - Heat equation [MSC 2020] 35L05 - Wave equation [MSC 2020] 45Kxx - Integro-partial differential equations [MSC 2020] |
| Soggetto non controllato |
Caputo Derivative
Diffusion-Wave Equation Fractional Calculus Integral Transforms Mittag-Leffler function Partial Differential Equations |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the “long-tail” power kernel results in the time-fractional diffusion-wave equation with the Caputo fractional derivative. Time-nonlocal generalizations of classical Fourier’s, Fick’s and Darcy’s laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusion-wave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113514 |
Povstenko, Yuriy
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| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Time-Fractional Differential Equations : A Theoretical Introduction / Adam Kubica, Katarzyna Ryszewska, Masahiro Yamamoto
| Time-Fractional Differential Equations : A Theoretical Introduction / Adam Kubica, Katarzyna Ryszewska, Masahiro Yamamoto |
| Autore | Kubica, Adam |
| Pubbl/distr/stampa | Singapore, : Springer, 2020 |
| Descrizione fisica | x, 134 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Ryszewska, Katarzyna
Yamamoto, Masahiro |
| Soggetto topico |
26A33 - Fractional derivatives and integrals [MSC 2020]
34-XX - Ordinary differential equations [MSC 2020] 34A08 - Fractional ordinary differential equations and fractional differential inclusions [MSC 2020] 34D05 - Asymptotic properties of solutions to ordinary differential equation [MSC 2020] 34G20 - Nonlinear differential equations in abstract spaces [MSC 2020] 35R11 - Fractional partial differential equations [MSC 2020] |
| Soggetto non controllato |
Adjustable to Existing Approaches in the Field
Caputo Derivative Fractional operators in Sobolev Spaces Initial-boundary value problem Partial Differential Equations Rigorous approach to research into fractional derivatives Time fractional derivative Weak solution asymptotic behavior |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00250518 |
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Kubica, Adam
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| Singapore, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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