Existence and uniqueness of solution for a fractional Riemann–Liouville initial value problem on time scales
| Autor: | Delfim F. M. Torres, Nadia Benkhettou, Ahmed Hammoudi |
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| Rok vydání: | 2016 |
| Předmět: |
Scale (descriptive set theory)
01 natural sciences 26A33 34N05 Operator (computer programming) Initial value problems ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Classical Analysis and ODEs (math.CA) FOS: Mathematics Applied mathematics Initial value problem Uniqueness 0101 mathematics lcsh:Science (General) General Mathematics Multidisciplinary 010102 general mathematics Fractional derivatives Riemann liouville Time scales Fractional calculus 010101 applied mathematics Dynamic equations Mathematics - Classical Analysis and ODEs Dynamic equation lcsh:Q1-390 |
| Zdroj: | Journal of King Saud University: Science, Vol 28, Iss 1, Pp 87-92 (2016) Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP ResearcherID |
| ISSN: | 1018-3647 |
| DOI: | 10.1016/j.jksus.2015.08.001 |
| Popis: | We introduce the concept of fractional derivative of Riemann-Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time scale. Comment: This is a preprint of a paper whose final and definite form is in Journal of King Saud University (Science), http://dx.doi.org/10.1016/j.jksus.2015.08.001 Paper submitted 18/May/2015; revised 31/July/2015; accepted for publication 03/Aug/2015 |
| Databáze: | OpenAIRE |
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