Inverse coefficient problem for the time‐fractional diffusion equation with Hilfer operator
DOI10.1002/mma.9510OpenAlexW4382679883MaRDI QIDQ6139212
No author found.
Publication date: 16 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9510
Mittag-Leffler functionintegral equationCauchy problemintegral transformFox's \(H\)-functiongeneralized time-fractional derivativeYang's \(Y\)-function
Other nonlinear integral equations (45G10) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and uniqueness for a problem involving hilfer fractional derivative
- Inverse source problem with a final overdetermination for a fractional diffusion equation
- Inverse problems for the heat equation with memory
- Problem of determining the thermal memory of a conducting medium
- Geometric theory of semilinear parabolic equations
- Mellin integral transform approach to analyze the multidimensional diffusion-wave equations
- Global uniqueness in an inverse problem for time fractional diffusion equations
- Reconstruction of time-dependent coefficients from heat moments
- Existence and uniqueness of an inverse memory kernel for an integro-differential parabolic equation with free boundary
- Cauchy problem for fractional diffusion equations
- Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions
- The explicit formula for solution of anomalous diffusion equation in the multi-dimensional space
- Exact solutions of linear Riemann-Liouville fractional differential equations with impulses
- Problem of determining the reaction coefficient in a fractional diffusion equation
- Inverse problem of determining the kernel in an integro-differential equation of parabolic type
- On inverse problems for strongly degenerate parabolic equations under the integral observation condition
- Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
- Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
- Inverse source problem for a fractional diffusion equation
- Inverse Problems of a Fractional Differential Equation with Bessel Operator
- Inverse Problems with Applications in Science and Engineering
- A two‐dimensional diffusion coefficient determination problem for the time‐fractional equation
- Introduction to Inverse Problems for Differential Equations
- Non-local boundary value problem for a mixed-type equation involving the bi-ordinal Hilfer fractional differential operators
- A multidimensional diffusion coefficient determination problem for the time-fractional equation
- The log-Brunn-Minkowski inequality in ℝ³
- Inverse problems for a multi-term time fractional evolution equation with an involution
- Identification of stationary source in the anomalous diffusion equation
- Inverse problems for partial differential equations
This page was built for publication: Inverse coefficient problem for the time‐fractional diffusion equation with Hilfer operator