Identification of the zeroth‐order coefficient and fractional order in a time‐fractional reaction‐diffusion‐wave equation
DOI10.1002/mma.8499zbMath1529.35581OpenAlexW4283661183MaRDI QIDQ6141822
Yun Zhang, Unnamed Author, Ting Wei
Publication date: 20 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8499
uniquenesssteepest descent methodNesterov strategytime-fractional reaction-diffusion-wave equationzeroth-order coefficient and fractional order
Reaction-diffusion equations (35K57) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Identification of the zeroth-order coefficient in a time fractional diffusion equation
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A compact difference scheme for the fractional diffusion-wave equation
- A compact finite difference method for a class of time fractional convection-diffusion-wave equations with variable coefficients
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- The backward problem for a time-fractional diffusion-wave equation in a bounded domain
- Simultaneous uniqueness for an inverse problem in a time-fractional diffusion equation
- Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation
- Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data
- Existence and regularity of final value problems for time fractional wave equations
- Determination of the initial data in a time-fractional diffusion-wave problem by a final time data
- Operator theoretic treatment of linear Abel integral equations of first kind
- Determine a space-dependent source term in a time fractional diffusion-wave equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Maximum principle for the generalized time-fractional diffusion equation
- Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
- Coefficient inverse problem for a fractional diffusion equation
- On the determination of a differential equation from its spectral function
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements
- The Identification of the Time-Dependent Source Term in Time-Fractional Diffusion-Wave Equations
- Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
- From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
This page was built for publication: Identification of the zeroth‐order coefficient and fractional order in a time‐fractional reaction‐diffusion‐wave equation