Opuscula Mathematica
Opuscula Math. 31, no. 3 (2011), 341-357

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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About the authors ▼
XiWang Dong
Guizhou University, Department of Mathematics, Guiyang, Guizhou 550025, P.R. China
JinRong Wang
Guizhou University, Department of Mathematics, Guiyang, Guizhou 550025, P.R. China
Yong Zhou
Xiangtan University, Department of Mathematics, Xiangtan, Hunan 411105, P.R. China
About the article ▼
Received: 2010-11-20.
Revised: 2010-12-09.
Accepted: 2010-12-10.
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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