The modified fractional-order quasi-reversibility method for a class of direct and inverse problems governed by time-fractional heat equations with involution perturbation
DOI10.1002/mma.10081MaRDI QIDQ6574490
N. Boussetila, Fares Benabbes, Abdelghani Lakhdari
Publication date: 18 July 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
ill-posed problemsfractional heat equationpseudo-parabolic regularization methodinvolution perturbation
Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Continuity of solutions of a class of fractional equations
- Continuous dependence on modeling for some well-posed perturbations of the backward heat equation
- Regularization of a backwards parabolic equation by fractional operators
- Criterion for the basis property of the eigenfunction system of a multiple differentiation operator with an involution
- A fractional-order quasi-reversibility method to a backward problem for the time fractional diffusion equation
- Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations
- Differential equations with involutions
- The problem of control of a two-dimensional transformation of spatial arguments in a parabolic functional-differential equation
- Regularization of backward time-fractional parabolic equations by Sobolev-type equations
- The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS
- On a class of inverse problems for a heat equation with involution perturbation
- A variant of quasi‐reversibility method for a class of heat equations with involution perturbation
- RIGHT INVERTIBLE OPERATORS AND FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH INVOLUTIONS
- Initial-boundary value problems for a time-fractional differential equation with involution perturbation
- On equations with reflection
- Pseudoparabolic Partial Differential Equations
- A backward problem for the time-fractional diffusion equation
- The inverse problem for the heat equation with reflection of the argument and with a complex coefficient
- Inverse problems of determining an unknown depending on time coefficient for a parabolic equation with involution and periodicity conditions
- Solvability of mixed problems for the wave equation with reflection of the argument
This page was built for publication: The modified fractional-order quasi-reversibility method for a class of direct and inverse problems governed by time-fractional heat equations with involution perturbation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6574490)