New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem

Alam, Md Mansur; Dubey, Shruti; Baleanu, Dumitru

dc.contributor.author	Alam, Md Mansur
dc.contributor.author	Dubey, Shruti
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2022-07-07T11:45:52Z
dc.date.available	2022-07-07T11:45:52Z
dc.date.issued	2021-12
dc.identifier.citation	Alam, Md Mansur; Dubey, Shruti; Baleanu, Dumitru (2021). "New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem", Boundary Value Problems, Vol. 2021, No. 1.	tr_TR
dc.identifier.issn	1687-2762
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5722
dc.description.abstract	We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Hölder regularity of solutions of classical abstract Cauchy problem (ACP). In this paper, we first construct interpolation spaces in terms of solution operators in fractional calculus and characterize these spaces. Then we establish strict Hölder regularity of mild solutions of fractional order ACP. © 2021, The Author(s).	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1186/s13661-021-01559-w	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractional Calculus	tr_TR
dc.subject	Hölder Continuity	tr_TR
dc.subject	Interpolation Space	tr_TR
dc.subject	Solution Operator	tr_TR
dc.subject	Strict Solution	tr_TR
dc.title	New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Boundary Value Problems	tr_TR
dc.identifier.volume	2021	tr_TR
dc.identifier.issue	1	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR