Sets of Fractional Operators and Some of Their Applications
| Autor: | A. Torres-Hernandez, F. Brambila-Paz, R. Ramirez-Melendez |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Zdroj: | Operator Theory-Recent Advances, New Perspectives and Applications Operator Theory-Recent Advances, New Perspectives and Applications ISBN: 9781838809928 |
| Popis: | This chapter presents one way to define Abelian groups of fractional operators isomorphic to the group of integers under addition through a family of sets of fractional operators and a modified Hadamard product, as well as one way to define finite Abelian groups of fractional operators through sets of positive residual classes less than a prime number. Furthermore, it is presented one way to define sets of fractional operators which allow generalizing the Taylor series expansion of a vector-valued function in multi-index notation, as well as one way to define a family of fractional fixed-point methods and determine their order of convergence analytically through sets. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|