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Fractional Powers of Operators Via Hypersingular Integrals

BOOK CHAPTER published 2000 in Semigroups of Operators: Theory and Applications

Authors: Stefan Samko

Chapter 1: Fractional integrals

BOOK CHAPTER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives

Chapter 2 Fractional integrals and fractional derivatives

BOOK CHAPTER published 2006 in Theory and Applications of Fractional Differential Equations

Chapter 2: Fractional derivatives

BOOK CHAPTER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives

Mathematical and physical interpretations of fractional derivatives and integrals

BOOK CHAPTER published 18 February 2019 in Basic Theory

Authors: Rudolf Hilfer

Fractional integrals of periodic functions of several variables

JOURNAL ARTICLE published March 1993 in Approximation Theory and its Applications

Authors: Wang Shiming

Fractional and Singular Integrals in Grand Morrey Spaces

BOOK CHAPTER published 2016 in Integral Operators in Non-Standard Function Spaces

Authors: Vakhtang Kokilashvili | Alexander Meskhi | Humberto Rafeiro | Stefan Samko

Chapter 3: Numerical fractional integration

BOOK CHAPTER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives

Chapter 7: Numerical fractional Laplacian

BOOK CHAPTER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives

Chapter 3: Fractional Derivatives and Integrals: Definitions and Equivalences

BOOK CHAPTER published 1974 in The Fractional Calculus - Theory and Applications of Differentiation and Integration to Arbitrary Order

The derivatives and integrals of fractional order in Walsh-Fourier analysis, with applications to approximation theory

JOURNAL ARTICLE published December 1983 in Journal of Approximation Theory

Authors: He Zelin

Back Matter

OTHER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives

Front Matter

OTHER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives

Multiple Erdélyi–Kober integrals and derivatives as operators of generalized fractional calculus

BOOK CHAPTER published 18 February 2019 in Basic Theory

Authors: Virginia Kiryakova | Yuri Luchko

A Chen-type Modification of Hadamard Fractional Integro-Differentiation

BOOK CHAPTER published 2014 in Operator Theory, Operator Algebras and Applications

Authors: Stefan Samko | Mahmadyor U. Yakhshiboev

Characterization of the Range of One-dimensional Fractional Integration in the Space with Variable Exponent

BOOK CHAPTER published in Operator Algebras, Operator Theory and Applications

Authors: Humberto Rafeiro | Stefan Samko

On Generalized Spherical Fractional Integration Operators in Weighted Generalized Hölder Spaces on the Unit Sphere

BOOK CHAPTER published in Operator Algebras, Operator Theory and Applications

Authors: Natasha Samko | Boris Vakulov

Chapter 6: Numerical Riesz differentiation

BOOK CHAPTER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives

Chapter 4: Numerical Caputo differentiation

BOOK CHAPTER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives

Chapter 5: Numerical Riemann-Liouville differentiation

BOOK CHAPTER published January 2019 in Theory and Numerical Approximations of Fractional Integrals and Derivatives