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   Articles with "fractional time" as a keyword



On Maximal Regularity for Abstract Parabolic Problems with Fractional Time Derivative

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recommendations! Published in 2019 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-019-1309-y

Abstract: We consider initial value problems for abstract evolution equations with fractional time derivative. Concerning the Caputo derivative $$\mathbb {D}^\alpha u$$Dαu, we show that certain assumptions, which are known to be sufficient to get a unique… read more here.

Keywords: time derivative; regularity abstract; regularity; maximal regularity ... See more keywords

Optimal Control of Diffusion Equation with Fractional Time Derivative with Nonlocal and Nonsingular Mittag-Leffler Kernel

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recommendations! Published in 2019 at "Journal of Optimization Theory and Applications"

DOI: 10.1007/s10957-018-1305-6

Abstract: In this paper, we consider a diffusion equation with fractional time derivative with nonsingular Mittag-Leffler kernel in Hilbert spaces. We first prove the existence and uniqueness of solution by means of a spectral argument. Then,… read more here.

Keywords: equation fractional; fractional time; nonsingular mittag; time derivative ... See more keywords
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Stability and convergence analysis of a semi-implicit fractional FEM-scheme for non-Newtonian fluid flows of polymer aqueous solutions with fractional time-derivative

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recommendations! Published in 2020 at "Computational and Applied Mathematics"

DOI: 10.1007/s40314-020-1110-3

Abstract: In this paper, a fully discrete fractional semi-implicit FEM-scheme is developed to study the non-Newtonian fluid flow of polymer aqueous solutions in a two-dimensional domain using Caputo’s fractional time-derivative. The fractional-time scheme is coupled with… read more here.

Keywords: scheme; fractional time; non newtonian; semi implicit ... See more keywords

The existence and asymptotic behavior of solutions to 3D viscous primitive equations with Caputo fractional time derivatives

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recommendations! Published in 2024 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0175409

Abstract: On the one hand, the primitive three-dimensional viscous equations for large-scale ocean and atmosphere dynamics are commonly used in weather and climate predictions. On the other hand, ever since the middle of the last century,… read more here.

Keywords: caputo fractional; long time; time; fractional time ... See more keywords

First passage times for some classes of fractional time-changed diffusions

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recommendations! Published in 2021 at "Stochastic Analysis and Applications"

DOI: 10.1080/07362994.2021.1953386

Abstract: We consider some time-changed diffusion processes obtained by applying the Doob transformation rule to a time-changed Brownian motion. The time-change is obtained via the inverse of an α-stable subordinator. These processes are specified in terms… read more here.

Keywords: time changed; time; fractional time; first passage ... See more keywords

Unitary description of the Jaynes-Cummings model under fractional-time dynamics.

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recommendations! Published in 2024 at "Physical review. E"

DOI: 10.1103/physreve.111.024110

Abstract: The time-evolution operator corresponding to the fractional-time Schrödinger equation is nonunitary because it fails to preserve the norm of the vector state in the course of its evolution. However, in the context of the time-dependent non-Hermitian… read more here.

Keywords: time; cummings model; fractional time; quantum ... See more keywords

Global Unsolvability of the Burgers Equation with Fractional Time Derivative

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recommendations! Published in 2019 at "Differential Equations"

DOI: 10.1134/s0012266119060156

Abstract: We obtain sufficient conditions for the nonexistence of time-global solutions of a fractional analog of the Burgers equation. Examples of solution blowup are considered for the Cauchy problem. The Mitidieri-Pokhozhaev nonlinear capacity method is used. read more here.

Keywords: time; burgers equation; equation fractional; unsolvability burgers ... See more keywords

A Fractional-in-Time Prey-Predator Model with Hunting Cooperation: Qualitative Analysis, Stability and Numerical Approximations

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recommendations! Published in 2021 at "Axioms"

DOI: 10.3390/axioms10020078

Abstract: A prey–predator system with logistic growth of prey and hunting cooperation of predators is studied. The introduction of fractional time derivatives and the related persistent memory strongly characterize the model behavior, as many dynamical systems… read more here.

Keywords: prey predator; hunting cooperation; model; fractional time ... See more keywords

Generalized Kinetic Equations with Fractional Time-Derivative and Nonlinear Diffusion: H-Theorem and Entropy

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recommendations! Published in 2024 at "Entropy"

DOI: 10.3390/e26080673

Abstract: We investigate the H-theorem for a class of generalized kinetic equations with fractional time-derivative, hyperbolic term, and nonlinear diffusion. When the H-theorem is satisfied, we demonstrate that different entropic forms may emerge due to the… read more here.

Keywords: theorem; diffusion; generalized kinetic; kinetic equations ... See more keywords