On dynamical systems with nabla half derivative on time scales

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F20%3APU137800" target="_blank" >RIV/00216305:26210/20:PU137800 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00009-020-01629-w" target="_blank" >https://link.springer.com/article/10.1007/s00009-020-01629-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00009-020-01629-w" target="_blank" >10.1007/s00009-020-01629-w</a>

Result language
angličtina
Original language name
On dynamical systems with nabla half derivative on time scales
Original language description
This paper is devoted to study of dynamical systems involving nabla half derivative on an arbitrary time scale. We prove existence and uniqueness of the solution of such system supplied with a suitable initial condition. Both Riemann–Liouville and Caputo approaches to noninteger-order derivatives are covered. Under special conditions we present an explicit form of the solution involving a time scales analogue of Mittag–Leffler function. Also an algorithm for solving of such problems on isolated time scales is established. Moreover, we show that half power functions are positive and decreasing with respect to t−s on an arbitrary time scale.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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