On nonlocal problems for fractional differential equations in Banach spaces

On nonlocal problems for fractional differential equations in Banach spaces

In this paper, we study the existence and uniqueness of solutions to the nonlocal problems for the fractional differential equation in Banach spaces. New sufficient conditions for the existence and uniqueness of solutions are established by means of fractional calculus and fixed point method under s...

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Veröffentlicht in:Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica 2011, Vol.31 (3), p.341-357
Hauptverfasser: Dong, XiWang, Wang, JinRong, Zhou, Yong
Format: Artikel
Sprache:eng
Schlagworte:
existence
fixed point method
fractional differential equations
generalized singular Gronwall inequality
nonlocal problems
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Zusammenfassung:In this paper, we study the existence and uniqueness of solutions to the nonlocal problems for the fractional differential equation in Banach spaces. New sufficient conditions for the existence and uniqueness of solutions are established by means of fractional calculus and fixed point method under some suitable conditions. Two examples are given to illustrate the results.
ISSN:1232-9274
DOI:10.7494/OpMath.2011.31.3.341