Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator

DOI10.1186/S13662-020-02712-YzbMath1482.35253OpenAlexW3033126230MaRDI QIDQ2078460

Nguyen Huu Can, Nguyen Hoang Luc, Le Nhat Huynh, Dumitru Baleanu

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02712-y

zbMATH Keywords

ill-posed problemsource termtime-fractional diffusion equationhyper-Bessel operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Related Items (12)

On time fractional pseudo-parabolic equations with nonlocal integral conditions ⋮ CONSTRUCTION OF EMPIRICAL MODELS VIA A STEPWISE FITTING OF A FRACTIONAL NEWTONIAN COOLING LAW ⋮ On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems ⋮ Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator ⋮ Quasi-boundary method for a fractional ill-posed problem ⋮ MILD SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION WITH A HYPER-BESSEL OPERATOR HAVE A CONTINUOUS DEPENDENCE WITH REGARD TO FRACTIONAL DERIVATIVE ORDERS ⋮ Regularization of the inverse problem for time fractional pseudo-parabolic equation with non-local in time conditions ⋮ On local fractional integral inequalities via generalized \((\tilde{h}_1, \tilde{h}_2)\)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel ⋮ NEW RESULTS ON CONTINUITY BY ORDER OF DERIVATIVE FOR CONFORMABLE PARABOLIC EQUATIONS ⋮ The dependence on fractional orders of mild solutions to the fractional diffusion equation with memory ⋮ Novel spectral schemes to fractional problems with nonsmooth solutions ⋮ Unnamed Item

Cites Work

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• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Initial boundary value problems for a fractional differential equation with hyper-Bessel operator
• On a backward problem for nonlinear fractional diffusion equations
• Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
• Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
• Fractional calculus and fractional differential equations in nonreflexive Banach spaces
• Fractional relaxation with time-varying coefficient
• Fractional diffusions with time-varying coefficients
• New Trends in Nanotechnology and Fractional Calculus Applications
• Positive solution of nonlinear fractional differential equations with Caputo‐like counterpart hyper‐Bessel operators
• On a terminal value problem for a generalization of the fractional diffusion equation with hyper‐Bessel operator
• Some Advances on Image Processing by Means of Fractional Calculus
• Regularization by fractional filter methods and data smoothing
• An introduction to the mathematical theory of inverse problems
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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