Journal of the Korean Society for Industrial and Applied Mathematics

  • 제14권2호
  • /
  • Pages.79-91
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  • 2010
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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FRACTIONAL NONLOCAL INTEGRODIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL IN BANACH SPACES

  • Wang, Jinrong (COLLEGE OF SCIENCE, GUIZHOU UNIVERSITY) ;
  • Wei, W. (COLLEGE OF SCIENCE, GUIZHOU UNIVERSITY) ;
  • Yang, Y. (COLLEGE OF TECHNOLOGY, GUIZHOU UNIVERSITY)
  • 투고 : 2009.12.16
  • 심사 : 2010.06.02
  • 발행 : 2010.06.25
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초록

In this paper, a class of fractional integrodifferential equations of mixed type with nonlocal conditions is considered. First, using contraction mapping principle and Krasnoselskii's fixed point theorem via Gronwall's inequailty, the existence and uniqueness of mild solution are given. Second, the existence of optimal pairs of systems governed by fractional integrodifferential equations of mixed type with nonlocal conditions is also presented.

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참고문헌

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피인용 문헌

  1. CONTROLLABILITY OF IMPULSIVE FRACTIONAL EVOLUTION INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES vol.15, pp.3, 2010, https://doi.org/10.12941/jksiam.2011.15.3.177
  2. Controllability of Second-Order Systems with Nonlocal Conditions in Banach Spaces vol.35, pp.4, 2010, https://doi.org/10.1080/01630563.2013.814067