Analytical solutions to multi-term time-space Caputo-Riesz fractional diffusion equations on an infinite domain
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Publication:1710040
DOI10.1186/s13662-017-1369-xzbMath1422.35175OpenAlexW2761799098WikidataQ59512845 ScholiaQ59512845MaRDI QIDQ1710040
Mun-Chol Kim, Gang-Il Ri, Chung-Sik Sin
Publication date: 15 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1369-x
analytical solutionRiesz fractional derivativeCaputo fractional derivativemultivariate Mittag-Leffler functionmulti-term fractional diffusion equation
Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Maximum principles for multi-term space-time variable-order fractional diffusion equations and their applications
- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Some fractional integral formulas for the Mittag-Leffler type function with four parameters
- Hitchhiker's guide to the fractional Sobolev spaces
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An operational method for solving fractional differential equations with the Caputo derivatives
- Applied functional analysis. Applications to mathematical physics. Vol. 1
- Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem
- Time-fractional diffusion equation in the fractional Sobolev spaces
- Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations
- Existence and uniqueness of global solutions of Caputo-type fractional differential equations
- Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations
- Regularity of the obstacle problem for a fractional power of the laplace operator
- The fundamental solution of the space-time fractional diffusion equation
- Mittag-Leffler Functions, Related Topics and Applications
- The random walk's guide to anomalous diffusion: A fractional dynamics approach