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

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

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 fractional derivative and with a closed densely de...

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Bibliographic Details
Main Authors: Vladimir E. Fedorov, Nikolay V. Filin
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Fractal and Fractional
Subjects:
distributed fractional derivative
continual derivative
Cauchy problem
resolving family of operators
Laplace transform
partial differential equation
Online Access:https://www.mdpi.com/2504-3110/5/1/20

Internet

https://www.mdpi.com/2504-3110/5/1/20

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