REGULARITY FOR FRACTIONAL ORDER RETARDED NEUTRAL DIFFERENTIAL EQUATIONS IN HILBERT SPACES

In this paper, we study the existence of solutions and $L^2$-regularity for fractional order retarded neutral functional differential equations in Hilbert spaces. We no longer require the compactness of structural operators to prove the existence of continuous solutions of the nonlinear differential...

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Published inJournal of the Korean Mathematical Society Vol. 53; no. 5; pp. 1019 - 1036
Main Authors Cho, Seong Ho, Jeong, Jin-Mun, Kang, Yong Han
Format Journal Article
LanguageEnglish
Published 대한수학회 01.09.2016
Subjects
수학
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Summary:In this paper, we study the existence of solutions and $L^2$-regularity for fractional order retarded neutral functional differential equations in Hilbert spaces. We no longer require the compactness of structural operators to prove the existence of continuous solutions of the nonlinear differential system, but instead we investigate the relation between the regularity of solutions of fractional order retarded neutral functional differential systems with unbounded principal operators and that of its corresponding linear system excluded by the nonlinear term. Finally, we give a simple example to which our main result can be applied. KCI Citation Count: 0
Bibliography:G704-000208.2016.53.5.011
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j150354