Opuscula Mathematica (Jan 2010)

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

  • JinRong Wang,
  • W. Wei,
  • YanLong Yang

DOI
https://doi.org/10.7494/OpMath.2010.30.2.217
Journal volume & issue
Vol. 30, no. 2
pp. 217 – 234

Abstract

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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