Dubey, ShrutiBaleanu, DumitruAlam, Md Mansur2022-07-072025-09-182022-07-072025-09-182021Alam, 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. 1.1687-2770https://doi.org/10.1186/s13661-021-01559-whttps://hdl.handle.net/20.500.12416/13041Alam, Md Mansur/0000-0002-4583-7774We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Holder 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 Holder regularity of mild solutions of fractional order ACP.eninfo:eu-repo/semantics/openAccessInterpolation SpaceFractional CalculusHolder ContinuityStrict SolutionSolution OperatorArticle10.1186/s13661-021-01559-w2-s2.0-85115699748