Open AccessFractional nonlocal integrodifferential equations of mixed type with time-varying generating operators and optimal control
Author(s) -
JinRong Wang,
Wei Wang,
Yanlong Yang
Publication year - 2010
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2010.30.2.217
Subject(s) - mathematics , type (biology) , control (management) , mathematical analysis , computer science , ecology , artificial intelligence , biology
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