An inverse source problem for a two terms time-fractional diffusion equation
DOI10.5269/BSPM.45265MaRDI QIDQ6189480
Fatima Dib, Mukhtar Bin Muhammad Kirane
Publication date: 8 February 2024
Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)
heat equationinverse problemintegral equationsFourier seriesfractional derivativebi-orthogonal system of functions
Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in thermodynamics and heat transfer (80A23) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions
- Boundary value problems for multi-term fractional differential equations
- An operational method for solving fractional differential equations with the Caputo derivatives
- How to express basis conditions and conditions for the equiconvergence with trigonometric series of expansions related to nonselfadjoint differential operators
- Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem
- On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition
- An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
- Inverse problems for partial differential equations
This page was built for publication: An inverse source problem for a two terms time-fractional diffusion equation