Prolongation of solutions of measure differential equations and dynamic equations on time scales
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700420
Abstract: In this paper, we prove the results on existence and uniqueness of the maximal solutions for measure differential equations, considering more general conditions on functions f and g by using the correspondence between the solutions… read more here.
Keywords: time scales; solutions measure; differential equations; dynamic equations ... See more keywords
Nonoscillation of half‐linear dynamic equations on time scales
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DOI: 10.1002/mma.7304
Abstract: The research contained in this paper belongs to the qualitative theory of dynamic equations on time scales. Via the detailed analysis of solutions of the associated Riccati equation and an advanced averaging technique, we provide… read more here.
Keywords: dynamic equations; time; nonoscillation half; equations time ... See more keywords
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
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DOI: 10.1007/s00211-021-01264-x
Abstract: This article is concerned with the discretisation of the Stokes equations on time-dependent domains in an Eulerian coordinate framework. Our work can be seen as an extension of a recent paper by Lehrenfeld and Olshanskii… read more here.
Keywords: time; dependent domains; time stepping; equations time ... See more keywords
Finite difference and spectral collocation methods for the solution of semilinear time fractional convection-reaction-diffusion equations with time delay
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01267-w
Abstract: In this paper, an efficient numerical method is constructed to solve the nonlinear fractional convection-reaction-diffusion equations with time delay. Firstly, we discretize the time fractional derivative with a second order finite difference scheme. Then, Chebyshev… read more here.
Keywords: equations time; time; convection reaction; reaction diffusion ... See more keywords
Boundedness of solutions of measure differential equations and dynamic equations on time scales
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.02.008
Abstract: Abstract In this paper, we investigate the boundedness results for measure differential equations. In order to obtain our results, we use the correspondence between these equations and generalized ODEs. Furthermore, we prove our results concerning… read more here.
Keywords: time scales; boundedness solutions; differential equations; dynamic equations ... See more keywords
Stochastic differential equations with time-dependent coefficients driven by fractional Brownian motion
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.121565
Abstract: Abstract In this paper, we study a class of stochastic differential equations with a time-dependent diffusion driven by a fractional Brownian motion with Hurst parameter 1 ∕ 2 H 1 . By using a transformation… read more here.
Keywords: stochastic differential; equations time; differential equations; fractional brownian ... See more keywords
Regular random attractors for non-autonomous stochastic evolution equations with time-varying delays on thin domains
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DOI: 10.1063/5.0010398
Abstract: This paper deals with the limiting dynamical behavior of non-autonomous stochastic reaction–diffusion equations with time-varying delays on thin domains. First, we prove the existence and uniqueness of the regular random attractor. Then, we prove the… read more here.
Keywords: thin domains; autonomous stochastic; time varying; non autonomous ... See more keywords
On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales
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DOI: 10.1186/s13662-017-1187-1
Abstract: The oscillatory and asymptotic behavior results for a class of third-order nonlinear neutral dynamic equations on time scales are presented. The results obtained can be extended to more general third-order neutral dynamic equations of the… read more here.
Keywords: time scales; third order; neutral dynamic; dynamic equations ... See more keywords
The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers’ Equations with Time-Fractional Derivative
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DOI: 10.3390/math7060486
Abstract: In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers’ equations with a time-fractional derivative. In the presented methods, we combined the operational matrix of fractional… read more here.
Keywords: equations time; system; system burgers; gegenbauer wavelets ... See more keywords