Abstract
AbstractWe 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.
Funder
Science and Engineering Research Board, New Delhi, INDIA
Ministry of Human Resource Development, India
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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