New Interpolation Spaces and Strict Holder Regularity for Fractional Abstract Cauchy Problem
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Date
2021
Journal Title
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Abstract
We 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.
Description
Alam, Md Mansur/0000-0002-4583-7774
ORCID
Keywords
Interpolation Space, Fractional Calculus, Holder Continuity, Strict Solution, Solution Operator, Artificial intelligence, Economics, Semigroup, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Differential equation, Analytic semigroup, FOS: Mathematics, Cauchy distribution, Strict solution, Interpolation space, Anomalous Diffusion Modeling and Analysis, Order (exchange), Cauchy problem, QA299.6-433, Functional analysis, Hölder continuity, Applied Mathematics, Motion (physics), Fractional calculus, Pure mathematics, Applied mathematics, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Chemistry, Initial value problem, Modeling and Simulation, Physical Sciences, Interpolation (computer graphics), Solution operator, Fractional Calculus, Analysis, Mathematics, Ordinary differential equation, Finance, interpolation space, Fractional ordinary differential equations, fractional calculus, solution operator, Interpolation between normed linear spaces, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, strict solution, Linear differential equations in abstract spaces
Fields of Science
01 natural sciences, 0101 mathematics
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.
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OpenCitations Citation Count
6
Source
Boundary Value Problems
Volume
2021
Issue
1
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Scopus : 9
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9
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7
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