Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative
In this paper, we investigate oscillatory and asymptotic properties for a class of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable fractional derivative. Based on the properties of conformable fractional differential and i...
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Veröffentlicht in: | Advances in difference equations 2018-05, Vol.2018 (1), p.1-20, Article 193 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper, we investigate oscillatory and asymptotic properties for a class of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable fractional derivative. Based on the properties of conformable fractional differential and integral, some new oscillatory and asymptotic criteria are established. Applications of the established results show that they can be used to research oscillation for fractional order equations in various time scales such as fractional order differential equations, fractional order difference equations, and so on. |
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ISSN: | 1687-1847 1687-1839 1687-1847 |
DOI: | 10.1186/s13662-018-1643-6 |