Special solutions to the space fractional diffusion problem
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Publication:2110582
DOI10.1007/s13540-022-00100-9zbMath1503.35270arXiv2111.01197OpenAlexW3208537264MaRDI QIDQ2110582
Tokinaga Namba, Shoichi Sato, Piotr Rybka
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.01197
fundamental solutiondecay of solutionsregularity of solutionsCaputo derivativespeed of propagationspace-fractional diffusion operator
Fractional derivatives and integrals (26A33) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)
Cites Work
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- Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients
- Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition
- Getting acquainted with the fractional Laplacian
- An \(L_q (L_p)\)-theory for diffusion equations with space-time nonlocal operators
- The similarity method and explicit solutions for the fractional space one-phase Stefan problems
- Some comments on using fractional derivative operators in modeling non-local diffusion processes
- A space-fractional Stefan problem
- Time-fractional equations with reaction terms: fundamental solutions and asymptotics
- An analytic semigroup generated by a fractional differential operator
- Fractional thermoelasticity
- The fundamental solution of a diffusion-wave equation of fractional order
- On the generalized mittag-leffler type functions
- On mittag-leffler type function, fractional calculas operators and solutions of integral equations
- The fundamental solution of the space-time fractional diffusion equation
- Mittag-Leffler Functions, Related Topics and Applications
- On Viscosity Solutions of Space-Fractional Diffusion Equations of Caputo Type
- Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
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