Subordination approach to multi-term time-fractional diffusion-wave equations
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Publication:1748172
DOI10.1016/j.cam.2017.11.003OpenAlexW2739594531MaRDI QIDQ1748172
Emilia Bazhlekova, I. B. Bazhlekov
Publication date: 9 May 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.09828
cosine familyBernstein functionsolution operatortime-fractional diffusion-wave equationpropagation function
One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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Cites Work
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- Propagation speed of the maximum of the fundamental solution to the fractional diffusion-wave equation
- The Cattaneo-type time fractional heat conduction equation for laser heating
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- A subordination principle on Wright functions and regularized resolvent families
- Solutions of the main boundary value problems for the time-fractional telegraph equation by the Green function method
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Unidirectional flows of fractional Jeffreys' fluids: thermodynamic constraints and subordination
- Stochastic solutions for fractional wave equations
- The fundamental solutions for the fractional diffusion-wave equation
- Time-fractional telegraph equations and telegraph processes with Brownian time
- Beyond monofractional kinetics
- Existence, regularity and representation of solutions of time fractional diffusion equations
- Asymptotic behavior of fractional order semilinear evolution equations.
- The analytical solution and numerical solution of the fractional diffusion-wave equation with damping
- On a class of time-fractional differential equations
- Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
- Distributed-order fractional diffusions on bounded domains
- Distributed order calculus and equations of ultraslow diffusion
- Coefficient inverse problem for a fractional diffusion equation
- Asymptotic properties of solutions of the fractional diffusion-wave equation
- FRACTIONAL DIFFUSIVE WAVES
- Vector-valued Laplace Transforms and Cauchy Problems
- A diffusion wave equation with two fractional derivatives of different order
- Time distributed-order diffusion-wave equation. I. Volterra-type equation
- Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
- Completely monotone functions and some classes of fractional evolution equations
- Strong analytic solutions of fractional Cauchy problems
- Solutions of two-term time fractional order differential equations with nonlocal initial conditions
- Fractional Calculus with Applications in Mechanics
- Bernstein functions. Theory and applications
