Opuscula Math. 31, no. 3 (2011), 341-357
http://dx.doi.org/10.7494/OpMath.2011.31.3.341

 
Opuscula Mathematica

On nonlocal problems for fractional differential equations in Banach spaces

XiWang Dong
JinRong Wang
Yong Zhou

Abstract. 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.

Keywords: nonlocal problems, fractional differential equations, existence, generalized singular Gronwall inequality, fixed point method.

Mathematics Subject Classification: 26A33, 34K12, 34A40.

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Cite this article as:
XiWang Dong, JinRong Wang, Yong Zhou, On nonlocal problems for fractional differential equations in Banach spaces, Opuscula Math. 31, no. 3 (2011), 341-357, http://dx.doi.org/10.7494/OpMath.2011.31.3.341

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