Solvability of triple-point integral boundary value problems for a class of impulsive fractional differential equations

This paper is concerned with a class of triple-point integral boundary value problems for impulsive fractional differential equations involving the Riemann-Liouville fractional derivative of order α ( 2 < α ≤ 3 ). Some sufficient criteria for the existence of solutions are obtained by applying th...

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Veröffentlicht in:Advances in difference equations 2017-02, Vol.2017 (1), p.1-19, Article 50
Hauptverfasser: Zhao, Kaihong, Liang, Jiangyan
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is concerned with a class of triple-point integral boundary value problems for impulsive fractional differential equations involving the Riemann-Liouville fractional derivative of order α ( 2 < α ≤ 3 ). Some sufficient criteria for the existence of solutions are obtained by applying the contraction mapping principle and the fixed point theorem. As an application, one example is given to demonstrate the validity of our main results.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1099-0