Kipriyanov's fractional calculus prehistory and legacy

DOI10.1134/s1995080223080334arXiv2304.03474OpenAlexW4389103024MaRDI QIDQ6180835

Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.03474

zbMATH Keywords

abstract evolution equations strictly accretive operator fractional power of \(m\)-accretive operator infinitesimal generator of semigroup Kipriyanov fractional differential operator

Mathematics Subject Classification ID

Functions of one variable (26Axx) Special classes of linear operators (47Bxx) General theory of linear operators (47Axx)

Cites Work

Solutions of the main boundary value problems for the time-fractional telegraph equation by the Green function method
One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions
Weighted Zygmund estimates for fractional differentiation and integration, and their applications
Semigroups of linear operators and applications to partial differential equations
Integral equations of the first kind of Sonine type
On series with respect to root vectors of operators associated with forms having symmetric principal part
Preservation of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators
Riemann-Liouville operator in weighted \(L_p\) spaces via the Jacobi series expansion
Asymptotics of eigenvalues for differential operators of fractional order
On one method of studying spectral properties of non-selfadjoint operators
Perturbations of self-adjoint and normal operators with discrete spectrum
Spherical fractional and hypersingular integrals of variable order in generalized Hölder spaces with variable characteristic
Spectral properties of fractional differentiation operators
The fundamental solution of a diffusion-wave equation of fractional order
Boundary Value Problem for the Time-Fractional Telegraph Equation with Caputo Derivatives
Criteria for completeness of the system of root vectors of a dissipative operator
Fractional integrals of generalised functions
Two index laws for fractional integrals and derivatives
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