Sets of fractional operators and some of their applications

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• dc.contributor.author Torres Hernandez, Anthony
• dc.contributor.author Brambila Paz, Fernando
• dc.contributor.author Ramírez, Rafael, 1966-
• dc.date.accessioned 2024-04-09T10:35:27Z
• dc.date.available 2024-04-09T10:35:27Z
• dc.date.issued 2023
• dc.description.abstract 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.
• dc.format.mimetype application/pdf
• dc.identifier.citation Torres-Hernandez A, Brambila-Paz F, Ramirez-Melendez R. Sets of fractional operators and some of their applications. In: Abou Jaoudé A, editor. Operator theory - recent advances, new perspectives and applications. London: IntechOpen; 2023. p. 79-96. DOI: 10.5772/intechopen.107263
• dc.identifier.doi http://dx.doi.org/10.5772/intechopen.107263
• dc.identifier.isbn 9781838811112
• dc.identifier.uri http://hdl.handle.net/10230/59707
• dc.language.iso eng
• dc.publisher IntechOpen
• dc.relation.ispartof Abou Jaoudé A, editor. Operator theory - recent advances, new perspectives and applications. London: IntechOpen; 2023. p. 79-96.
• dc.rights ©2022 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in anymedium, provided the originalwork is properly cited.
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.rights.uri http://creativecommons.org/licenses/by/3.0
• dc.subject.keyword fractional operators
• dc.subject.keyword set theory
• dc.subject.keyword group theory
• dc.subject.keyword fractional iterative methods
• dc.subject.keyword fractional calculus of sets
• dc.title Sets of fractional operators and some of their applications
• dc.type info:eu-repo/semantics/bookPart
• dc.type.version info:eu-repo/semantics/publishedVersion