Opuscula Mathematica
Opuscula Math. 30, no. 3 (2010), 361-381

Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces

JinRong Wang
YanLong Yang
W. Wei
Abstract. In this paper, we study the existence and uniqueness of the \(PC\)-mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions. By means of the generalized Ascoli-Arzela Theorem given by us and the fixed point theorem, some existence and uniqueness results are obtained. Finally, an example is given to illustrate the theory.
Keywords: nonlocal conditions, impulsive equations, fractional differential equations, time-varying generating operators, \(PC\)-mild solution.
Mathematics Subject Classification: 34G10, 34G20.
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About the authors ▼
JinRong Wang
Guizhou University, College of Science, Guiyang, Guizhou 550025, P.R. China
YanLong Yang
Guizhou University, College of Technology, Guiyang, Guizhou 550004, P.R. China
W. Wei
Guizhou University, College of Science, Guiyang, Guizhou 550025, P.R. China
About the article ▼
Received: 2010-02-09.
Revised: 2010-03-20.
Accepted: 2010-04-08.
Cite this article as ▼
JinRong Wang, YanLong Yang, W. Wei, Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces, Opuscula Math. 30, no. 3 (2010), 361-381, http://dx.doi.org/10.7494/OpMath.2010.30.3.361.
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