Nonnegative solutions to time fractional Keller–Segel system
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DOI: 10.1002/mma.6880
Abstract: We establish the existence of nonnegative weak solutions to time fractional Keller–Segel system with Dirichlet boundary condition in a bounded domain with smooth boundary. Since the considered system has a cross‐diffusion term and the corresponding… read more here.
Keywords: keller segel; system; solutions time; segel system ... See more keywords
New periodic wave solutions of a time fractional integrable shallow water equation
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DOI: 10.1016/j.apor.2019.01.029
Abstract: Abstract In this paper, author employed Jacobi elliptic function expansion method to build the new wave solutions of time fractional modified Camassa–Holm equation which is completely integrable dispersive shallow-water equation. In ocean engineering, Camassa–Holm equation… read more here.
Keywords: solutions time; water; wave solutions; equation ... See more keywords
Traveling wave solutions for time-fractional K ( m , n ) equation
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DOI: 10.1016/j.ijleo.2017.06.032
Abstract: Abstract In this paper, we obtain traveling wave solutions for time-fractional equations. The homotopy perturbation method is used to obtain these solutions. It is shown that, these solutions have continuity dependence on the time fractional… read more here.
Keywords: solutions time; wave solutions; time fractional; time ... See more keywords
Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125007
Abstract: We prove existence of a bounded weak solution to a degenerate quasilinear subdiffusion problem with bounded measurable coefficients that may explicitly depend on time. The kernel in the involved integro-differential operator w.r.t. time belongs to… read more here.
Keywords: solutions time; integro differential; time; weak solutions ... See more keywords
Efficient explicit numerical solutions of the time-dependent Schrödinger equation.
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DOI: 10.1103/physreve.105.025303
Abstract: Explicit numerical solutions of the time-dependent Schrödinger equation are more efficient than those obtained by commonly used implicit approaches. They are more practical, especially for a system with higher spatial dimensions. To that end, we introduce… read more here.
Keywords: explicit numerical; solutions time; time dependent; dependent schr ... See more keywords
Blowing-up solutions for time-fractional equations on a bounded domain
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DOI: 10.1177/16878132221130228
Abstract: This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain. Adequate conditions for the blowing-up of solutions in limited time of previously mentioned conditions… read more here.
Keywords: fractional equations; time; solutions time; time fractional ... See more keywords
Spatial asymptotics of mild solutions to the time-dependent Oseen system
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DOI: 10.3934/cpaa.2021044
Abstract: We consider mild solutions to the 3D time-dependent Oseen system with homogeneous Dirichlet boundary conditions, under weak assumptions on the data. Such solutions are defined via the semigroup generated by the Oseen operator in \begin{document}$… read more here.
Keywords: solutions time; oseen system; mild solutions; time dependent ... See more keywords