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Published in 2019 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-019-1884-4
Abstract: We characterize the Lp-well-posedness (resp. $$B_{p,q}^s$$ -well-posedness) for the fractional degenerate differential equations with finite delay: $$D^\alpha(Mu)(t)=Au(t)+Gu'_t+Fu_t+f(t),\;\;\;(t\in[0,2\pi]),$$ where α > 0 is fixed and A, M are closed linear operators in a Banach space X…
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Keywords:
degenerate differential;
solutions fractional;
differential equations;
fractional degenerate ... See more keywords
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Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.037
Abstract: Abstract The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary characteristics involving bounded and unbounded delays. First, well-posedness of the problem is analyzed by the Galerkin method and…
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Keywords:
autonomous nonlocal;
non autonomous;
partial differential;
differential equations ... See more keywords
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Published in 2017 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2015.1118067
Abstract: ABSTRACT Many dynamical systems in physics and engineering are characterized by the property of possessing a bounded absorbing set which all trajectories enter in a finite time and thereafter remain inside. It is highly important…
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Keywords:
integro differential;
neutral integro;
equations delay;
differential equations ... See more keywords