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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…
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Keywords:
time scales;
solutions measure;
differential equations;
dynamic equations ... See more keywords
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Published in 2021 at "Mathematical Methods in the Applied Sciences"
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…
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Keywords:
dynamic equations;
time;
nonoscillation half;
equations time ... See more keywords
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Published in 2022 at "Numerische Mathematik"
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…
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Keywords:
time;
dependent domains;
time stepping;
equations time ... See more keywords
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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…
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Keywords:
equations time;
time;
convection reaction;
reaction diffusion ... See more keywords
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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…
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Keywords:
time scales;
boundedness solutions;
differential equations;
dynamic equations ... See more keywords
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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…
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Keywords:
stochastic differential;
equations time;
differential equations;
fractional brownian ... See more keywords
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Published in 2020 at "Journal of Mathematical Physics"
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…
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Keywords:
thin domains;
autonomous stochastic;
time varying;
non autonomous ... See more keywords
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Published in 2017 at "Advances in Difference Equations"
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…
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Keywords:
time scales;
third order;
neutral dynamic;
dynamic equations ... See more keywords
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Published in 2019 at "Mathematics"
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…
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Keywords:
equations time;
system;
system burgers;
gegenbauer wavelets ... See more keywords