Opuscula Math. 30, no. 2 (2010), 217-234
http://dx.doi.org/10.7494/OpMath.2010.30.2.217
Opuscula Mathematica
Fractional nonlocal integrodifferential equations of mixed type with time-varying generating operators and optimal control
JinRong Wang
W. Wei
YanLong Yang
Abstract. In this paper, a class of fractional integrodifferential equations of mixed type with time-varying generating operators and nonlocal conditions is considered. Using a contraction mapping principle and Krasnoselskii's fixed point theorem via Gronwall's inequality, the existence and uniqueness of mild solution are given. The existence of optimal pairs of systems governed by fractional integrodifferential equations of mixed type with time-varying generating operators and nonlocal conditions is also presented.
Keywords: fractional integrodifferential equations of mixed type, time-varying generating operators, nonlocal conditions, fixed point theorem, existence, optimal control.
Mathematics Subject Classification: 45N05, 93C25.
- JinRong Wang
- Guizhou University, College of Science Guiyang, Guizhou 550025, P.R. China
- W. Wei
- Guizhou University, College of Science Guiyang, Guizhou 550025, P.R. China
- YanLong Yang
- Guizhou University, College of Technology Guiyang, Guizhou 550004, P.R. China
- Received: 2009-12-12.
- Revised: 2010-01-05.
- Accepted: 2010-01-18.
