TY  - JOUR
ID  - Wang2010
LB  - Wang2010
AU  - Wang, JinRong
AU  - Wei, W.
AU  - Yang, YanLong
TI  - Fractional nonlocal integrodifferential equations of mixed type with time-varying generating operators and optimal control
ST  - Fractional nonlocal integrodifferential equations of mixed type with time-varying generating operators and optimal control
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 2
SP  - 217
EP  - 234
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.2.217
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.2.217
AB  - 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.
KW  - fractional integrodifferential equations of mixed type
KW  - time-varying generating operators
KW  - nonlocal conditions
KW  - fixed point theorem
KW  - existence
KW  - optimal control
SN  - 1232-9274
ER  -