"Properties of Mixed Hyperbolic B–Potential" by Elina L. Shishkina

Progress in Fractional Differentiation & Applications

Article Title

Properties of Mixed Hyperbolic B–Potential

Authors

Elina L. Shishkina, Department of Mathematical and Applied Analysis, Faculty of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Voronezh, RussiaFollow

Author Country (or Countries)

Russia

Abstract

In this article a theory of fractional powers of a singular hyperbolic operator on arbitrary spaces is discussed. Fourier– Hankel transform, semigroup property, boundedness in proper functional spaces and other properties of the mixed Riesz fractional integral generated by Bessel operator are obtained.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/040203

Recommended Citation

L. Shishkina, Elina (2018) "Properties of Mixed Hyperbolic B–Potential," Progress in Fractional Differentiation & Applications: Vol. 4: Iss. 2, Article 3.
DOI: http://dx.doi.org/10.18576/pfda/040203
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol4/iss2/3

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