On a backward problem for nonlinear fractional diffusion equations
From MaRDI portal
Publication:1739409
DOI10.1016/j.aml.2018.11.015OpenAlexW2902204684WikidataQ128862679 ScholiaQ128862679MaRDI QIDQ1739409
Yong Zhou, Tran Bao Ngoc, Le Nhat Huynh, Nguyen Huy Tuan
Publication date: 26 April 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2018.11.015
Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
Related Items (31)
Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method ⋮ Continuity with respect to fractional order of the time fractional diffusion-wave equation ⋮ Nonlocal final value problem governed by semilinear anomalous diffusion equations ⋮ On a backward problem for nonlinear time fractional wave equations ⋮ On an initial inverse problem for a diffusion equation with a conformable derivative ⋮ Well-posedness and ill-posedness results for backward problem for fractional pseudo-parabolic equation ⋮ On the backward problems in time for time-fractional subdiffusion equations ⋮ On a time fractional diffusion with nonlocal in time conditions ⋮ Well-posedness for the backward problems in time for general time-fractional diffusion equation ⋮ On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives ⋮ A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation ⋮ NEW RESULTS FOR PARABOLIC EQUATION ON THE SPHERE WITH CAPUTO–FABRIZIO OPERATOR ⋮ Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method ⋮ Well-posedness results for nonlinear fractional diffusion equation with memory quantity ⋮ Regularization of the inverse problem for time fractional pseudo-parabolic equation with non-local in time conditions ⋮ Regularization of a backward problem for composite fractional relaxation equations ⋮ A generalized quasi‐boundary value method for the backward semi‐linear time‐fractional heat problem in a cylinder ⋮ Advances in solving conformable nonlinear partial differential equations and new exact wave solutions for Oskolkov‐type equations ⋮ The final value problem for anomalous diffusion equations involving weak-valued nonlinearities ⋮ Global existence and blow-up of solutions of the Cauchy problem for a time fractional diffusion system ⋮ Existence and uniqueness of mild solutions for a final value problem for nonlinear fractional diffusion systems ⋮ Backward problems in time for fractional diffusion-wave equation ⋮ Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method ⋮ On fractional diffusion equation with Caputo-Fabrizio derivative and memory term ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time ⋮ Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator ⋮ The backward problem of stochastic convection-diffusion equation ⋮ Fractional Landweber method for an initial inverse problem for time-fractional wave equations ⋮ On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
- 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
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Existence and uniqueness of the solution to a coupled fractional diffusion system
- Solving a final value fractional diffusion problem by boundary condition regularization
- The backward problem for a time-fractional diffusion-wave equation in a bounded domain
- On a backward parabolic problem with local Lipschitz source
- Identification of the initial condition in backward problem with nonlinear diffusion and reaction
- A modified quasi-boundary value method for the backward time-fractional diffusion problem
- Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation
- On a final value problem for the time-fractional diffusion equation with inhomogeneous source
- The quasi‐reversibility method for a final value problem of the time‐fractional diffusion equation with inhomogeneous source
- Regularization by projection for a backward problem of the time-fractional diffusion equation
- A backward problem for the time-fractional diffusion equation
This page was built for publication: On a backward problem for nonlinear fractional diffusion equations