Monotone iterations method for fractional diffusion equations
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Publication:2086067
DOI10.30970/ms.57.2.122-136OpenAlexW4293058400MaRDI QIDQ2086067
Mykola Valeriiovych Krasnoschok
Publication date: 20 October 2022
Published in: Matematychni Studiï (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.30970/ms.57.2.122-136
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Fractional derivatives and integrals (26A33) A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)
Cites Work
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- A parabolic problem with a fractional time derivative
- Which functions are fractionally differentiable?
- Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations
- Fractional-parabolic systems
- On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
- An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
- Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Monotone iterative technique for fractional evolution equations in Banach spaces
- The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative
- Global existence and asymptotic behavior for a time fractional reaction-diffusion system
- Existence and regularity of solutions to time-fractional diffusion equations
- On existence and uniqueness of viscosity solutions for second order fully nonlinear PDEs with Caputo time fractional derivatives
- General uniqueness and monotone iterative technique for fractional differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Estimates for solutions of parabolic initial-boundary value problems in weighted Hölder norms
- Quasilinear evolutionary equations and continuous interpolation spaces.
- Periodic boundary value problems for semilinear fractional differential equations
- The method of lower and upper solutions for impulsive fractional evolution equations
- Equivalent definitions of Caputo derivatives and applications to subdiffusion equations
- Hölder continuous solutions for fractional differential equations and maximal regularity
- Fractional thermoelasticity
- Boundary integral solution of the time-fractional diffusion equation
- Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
- Existence and uniqueness for parabolic problems with Caputo time derivative
- Maximum principle for the generalized time-fractional diffusion equation
- On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation
- The Maximum Principle for Time-Fractional Diffusion Equations and Its Application
- REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
- On a class of fractional differential equations in a Sobolev space
- The fundamental solution of a diffusion-wave equation of fractional order
- On the Existence of Maximal and Minimal Solutions for Parabolic Partial Differential Equations
- Fractional Differential Equations
- Lectures in Nonlinear Functional Analysis
- Time-Fractional Differential Equations
- Maximum principle for certain generalized time and space fractional diffusion equations
- Time Fractional Derivatives and Evolution Equations
- Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
- Fractional Calculus
- Mittag-Leffler Functions, Related Topics and Applications
- On the rest state stability of an objective fractional derivative viscoelastic fluid model
- A maximum principle for fractional diffusion differential equations
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