Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets
| Autor: | Delfim F. M. Torres, Artur M. C. Brito da Cruz, Nadia Benkhettou |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics Nonsymmetric and symmetric fractional calculi Closed set General Mathematics General Engineering 02 engineering and technology Time scales 01 natural sciences Fractional calculus 010101 applied mathematics 020901 industrial engineering & automation Mathematics - Classical Analysis and ODEs Classical Analysis and ODEs (math.CA) FOS: Mathematics Order (group theory) Nabla symbol 0101 mathematics Discrete and continuous fractional calculi Mathematics Real number 26A33 26E70 |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| ISSN: | 0170-4214 |
| Popis: | We introduce a nabla, a delta, and a symmetric fractional calculus on arbitrary nonempty closed subsets of the real numbers. These fractional calculi provide a study of differentiation and integration of noninteger order on discrete, continuous, and hybrid settings. Main properties of the new fractional operators are investigated, and some fundamental results presented, illustrating the interplay between discrete and continuous behaviors. This is a preprint of a paper whose final and definite form will be published in Mathematical Methods in the Applied Sciences, ISSN 0170-4214. Submitted 05/March/2014; revised 24/Feb/2015; accepted 25/Feb/2015. arXiv admin note: text overlap with arXiv:1405.2813 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Plný text