Fractional nonlocal integrodifferential equations of mixed type with time-varying generating operators and optimal control | Zendy

JinRong Wang | Zendy; Wei Wang | Zendy; Yanlong Yang | Zendy

Open Access

Fractional 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 -

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

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