Norms of the Positive Powers of the Bessel Operator in the Spaces of Even Schlömilch j-Polynomials

2019 ◽  
Vol 106 (3-4) ◽  
pp. 577-590
Author(s):  
L. N. Lyakhov ◽  
E. L. Sanina
Keyword(s):  
Bessel Operator

On partial Fourier–Bessel operator in higher dimension

2019 ◽  
Vol 31 (6) ◽  
pp. 424-436
Author(s):  
Selma Negzaoui ◽  
Mohamed Sifi
Keyword(s):  
Bessel Operator ◽  
Higher Dimension

scholarly journals On initial boundary value problem with Dirichlet integral conditions for a hyperbolic equation with the Bessel operator

2003 ◽  
Vol 2003 (10) ◽  
pp. 487-502
Author(s):  
Abdelfatah Bouziani
Keyword(s):  
Hyperbolic Equation ◽  
A Priori ◽  
Weighted Sobolev Spaces ◽  
A Priori Estimate ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Generalized Solution ◽  
Bessel Operator ◽  
Integral Conditions ◽  
Initial Boundary Value

We consider a mixed problem with Dirichlet and integral conditions for a second-order hyperbolic equation with the Bessel operator. The existence, uniqueness, and continuous dependence of a strongly generalized solution are proved. The proof is based on an a priori estimate established in weighted Sobolev spaces and on the density of the range of the operator corresponding to the abstract formulation of the considered problem.

scholarly journals A Fractional Equation with Left-Sided Fractional Bessel Derivatives of Gerasimov–Caputo Type

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1216 ◽  
Author(s):  
Elina Shishkina ◽  
Sergey Sitnik
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Integral Transform ◽  
Bessel Operator ◽  
Explicit Solutions ◽  
Solutions To Equations ◽  
Fractional Powers ◽  
Derivatives Of ◽  
Fractional Equation

In this article we propose and study a method to solve ordinary differential equations with left-sided fractional Bessel derivatives on semi-axes of Gerasimov–Caputo type. We derive explicit solutions to equations with fractional powers of the Bessel operator using the Meijer integral transform.

scholarly journals Universality of the Stochastic Bessel Operator

2018 ◽  
Vol 175 (1-2) ◽  
pp. 97-140
Author(s):  
Brian Rider ◽  
Patrick Waters
Keyword(s):  
Bessel Operator
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