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Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order
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N. K. Karapetyants
Published/Copyright:
February 23, 2010
Abstract
Hölder classes of variable order μ(x) are introduced and it is shown that the fractional integral 
has Hölder order μ(x) + α (0 < α, μ+, α + μ+ < 1, μ+ = sup μ(x)).
Key words and phrases.: Fractional integral; Marchaud derivative; Hölder space (class); convolutions; isomorphism; smoothness
Received: 1993-10-28
Published Online: 2010-02-23
Published in Print: 1995-April
© 1995 Plenum Publishing Corporation
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- Basic Boundary Value Problems of Thermoelasticity for Anisotropic Bodies with Cuts. I
- Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order
- Sequential Convergence in Topological Vector Spaces
- On Some Boundary Value Problems with Integral Conditions for Functional Differential Equations
- Construction of Entire Modular Forms of Weights 5 and 6 for the Congruence Group Γ0(4N)
- Two-Dimension-Like Functions Defined on the Class of all Tychonoff Spaces
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Keywords for this article
Fractional integral;
Marchaud derivative;
Hölder space (class);
convolutions;
isomorphism;
smoothness
Articles in the same Issue
- The Boundary-Contact Problem of Elasticity for Homogeneous Anisotropic Media with a Contact on Some Part of the Boundaries
- Basic Boundary Value Problems of Thermoelasticity for Anisotropic Bodies with Cuts. I
- Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order
- Sequential Convergence in Topological Vector Spaces
- On Some Boundary Value Problems with Integral Conditions for Functional Differential Equations
- Construction of Entire Modular Forms of Weights 5 and 6 for the Congruence Group Γ0(4N)
- Two-Dimension-Like Functions Defined on the Class of all Tychonoff Spaces
- The Cauchy–Nicoletti Problem with Poles
