Results 1 to 10 of about 76,730 (232)

On Strongly Continuous Resolving Families of Operators for Fractional Distributed Order Equations [PDF]

Fractal and Fractional, 2021
The aim of this work is to find by the methods of the Laplace transform the conditions for the existence of a strongly continuous resolving family of operators for a linear homogeneous equation in a Banach space with the distributed Gerasimov–Caputo ...
Vladimir E. Fedorov, Nikolay V. Filin
doaj   +4 more sources

Loop corrections for Kaluza-Klein AdS amplitudes [PDF]

Journal of High Energy Physics, 2018
Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of N $$ \mathcal{N} $$ = 4 super Yang-Mills theory. Here we give the first extension of those results to include
F. Aprile, J. M. Drummond, P. Heslop, H. Paul   +3 more
doaj   +7 more sources

Analytic Resolving Families for Equations with Distributed Riemann–Liouville Derivatives

Mathematics, 2022
Some new necessary and sufficient conditions for the existence of analytic resolving families of operators to the linear equation with a distributed Riemann–Liouville derivative in a Banach space are established.
Vladimir E. Fedorov, Wei-Shih Du, Marko Kostić, Aliya A. Abdrakhmanova   +3 more
doaj   +3 more sources

Analytic Resolving Families for Equations with the Dzhrbashyan–Nersesyan Fractional Derivative

Fractal and Fractional, 2022
In this paper, a criterion for generating an analytic family of operators, which resolves a linear equation solved with respect to the Dzhrbashyan–Nersesyan fractional derivative, via a linear closed operator is obtained.
Vladimir E. Fedorov, Marina V. Plekhanova, Elizaveta M. Izhberdeeva   +2 more
doaj   +3 more sources

Generators of Analytic Resolving Families for Distributed Order Equations and Perturbations

Mathematics, 2020
Linear differential equations of a distributed order with an unbounded operator in a Banach space are studied in this paper. A theorem on the generation of analytic resolving families of operators for such equations is proved.
Vladimir E. Fedorov
doaj   +3 more sources

Criterion of the Existence of a Strongly Continuous Resolving Family for a Fractional Differential Equation with the Hilfer Derivative

Fractal and Fractional
In the qualitative theory of differential equations in Banach spaces, the resolving families of operators of such equations play an important role.
Vladimir E. Fedorov, Wei-Shih Du, Marko Kostić, Marina V. Plekhanova, Anton S. Skorynin   +4 more
doaj   +3 more sources

Resolvent Positive Operators and Positive Fractional Resolvent Families [PDF]

Journal of Function Spaces, 2021
This paper is concerned with positive α -times resolvent families on an ordered Banach space E (with normal and generating cone), where
Nan-Ding Li, Ru Liu, Miao Li
openaire   +3 more sources

Degenerate Multi-Term Equations with Gerasimov–Caputo Derivatives in the Sectorial Case

Mathematics, 2022
The unique solvability for the Cauchy problem in a class of degenerate multi-term linear equations with Gerasimov–Caputo derivatives in a Banach space is investigated.
Vladimir E. Fedorov, Kseniya V. Boyko
doaj   +1 more source

Integro-differential equations in Banach spaces and analytic resolving families of operators

Contemporary Mathematics. Fundamental Directions, 2023
We study a class of equations in Banach spaces with a Riemann–Liouville-type integro-differential operator with an operator-valued convolution kernel. The properties of \(k\)-resolving operators of such equations are studied and the class \(\mathcal A_{m,K,\chi}\) of linear closed operators is defined such that the belonging to this class is necessary
Fedorov, V. E., Godova, A. D.
openaire   +1 more source

Ergodicity and stability for (b, l)-regularized resolvent operator families

Annals of Functional Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lizhen Chen, Zhenbin Fan, Fei Wang
openaire   +1 more source