Skip to content
naulon
Not checkedNot checked for notices yet.

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

Md Mansur Alam, Shruti Dubey, Dumitru Baleanu

Boundary Value Problems · 2021

doi:10.1186/s13661-021-01559-w (opens in a new tab)

We email you when a new notice or a question about this paper appears.

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.

Abstract licence: CC BY-NC-ND

References19

    19 more references, whose wording the paper’s licence keeps private.

    Reads

    Read by people on this page

    None yet.

    Checked or read by AI through naulon

    None yet.

    A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.

    Are you an author?

    Is this your paper?

    Claim it to add your note and be paid when agents cite it. Free.