Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
By Yury F. Luchko. 2011
310 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/42990ccb0122ea5f2a6a11e564d98e5ce14751eb
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- M. A. Zaky
- Ali H. Bhrawy
- Ian L Turner
- Fawang Liu
- Tokinaga Namba
- Masahiro Yamamoto
- Kevin Burrage
- Zhi-yuan Li
In Modeling and Simulation
- M. A. Zaky
- Ali H. Bhrawy
- Fawang Liu
- Ian L Turner
- Kevin Burrage
- Masahiro Yamamoto
- Zhi-yuan Li
- Tokinaga Namba
In Numerical Analysis
- M. A. Zaky
- Ali H. Bhrawy
- Fawang Liu
- Ian L Turner
- Kevin Burrage
- Masahiro Yamamoto
- Tokinaga Namba
- Zhi-yuan Li
Citations in the corpus
- Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain (2012, methodology): “By using Luchko’s Theorem and the equivalent relationship between the Laplacian operator and the Riesz fractional derivative, we have used the spectral representation of the fractional Laplacian operator to derive analytical solutions.”
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations (2016, unknown): “, m > 1) in [12, 13, 23], and especially the maximum principle was recently improved to stronger ones in [19, 21].”
- Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation (2014, background): “Luchko [2,3] and the references therein), which is given by:”
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations (2015, background): “Luchko [34] discussed the multi-term time-fractional diffusion equation with the variable coefficients.”
- A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation (2019, unknown): “The theoretical and numerical methods to the solution of linear multi-term timefractional equations were studied by many researchers [2, 3, 14, 15].”
- Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative (2016, background): “, [30] for multi-term time-fractional derivatives and [33] for (1.”