Inverse problem for a time‐fractional differential equation with a time‐ and space‐integral conditions

DOI10.1002/mma.9453OpenAlexW4379797057MaRDI QIDQ6183141

A. O. Lopushanskyj, G. P. Lopushanskaya, Mukhtar Bin Muhammad Kirane

Publication date: 26 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.9453

zbMATH Keywords

inverse problemSchwartz distributionfractional derivativeintegral conditionGreen vector-function

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional-parabolic systems
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Global existence and asymptotic behavior for a time fractional reaction-diffusion system
• The fundamental solutions for the fractional diffusion-wave equation
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition
• Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
• Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation
• Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements
• Fractional Differential Equations
• Determining of three unknown functions of a semilinear ultraparabolic equation
• Inverse problems for a time fractional diffusion equation in the Schwartz‐type distributions
• Inverse problem with a time‐integral condition for a fractional diffusion equation
• A tutorial on inverse problems for anomalous diffusion processes
• An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions

This page was built for publication: Inverse problem for a time‐fractional differential equation with a time‐ and space‐integral conditions