Regularization of inverse initial problem for conformable pseudo-parabolic equation with inhomogeneous term

DOI10.1155/2022/8008838zbMath1497.35522OpenAlexW4295540513WikidataQ113757891 ScholiaQ113757891MaRDI QIDQ2171691

Le Dinh Long, Reza Saadati

Publication date: 9 September 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/8008838

zbMATH Keywords

inverse source problembackward problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Cites Work

• Unnamed Item
• On conformable fractional calculus
• Optimal error bound and generalized Tikhonov regularization for identifying an unknown source in the heat equation
• Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
• On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems
• On well-posedness of the sub-diffusion equation with conformable derivative model
• Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation
• Fractional Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion problem
• A new definition of fractional derivative
• Regularized solution of an inverse source problem for a time fractional diffusion equation
• Semilinear conformable fractional differential equations in Banach spaces
• Nonlocal telegraph equation in frame of the conformable time-fractional derivative
• A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
• The truncation method for the Cauchy problem of the inhomogeneous Helmholtz equation
• New exact solution of generalized biological population model
• On initial and terminal value problems for fractional nonclassical diffusion equations
• On some inverse problem for bi-parabolic equation with observed data in L^{p} spaces
• A novel numerical manner for two‐dimensional space fractional diffusion equation arising in transport phenomena
• Physical properties of the projectile motion using the conformable derivative

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