대한수학회지 (Journal of the Korean Mathematical Society)

  • 제51권6호
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  • Pages.1123-1139
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  • 2014
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 < α < 2

  • Shu, Xiao-Bao (Department of Mathematics Hunan University) ;
  • Xu, Fei (Department of Mathematics Wilfrid Laurier University)
  • 투고 : 2013.08.01
  • 발행 : 2014.11.01
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초록

In this work, we investigate the existence of the extremal solutions for a class of fractional partial differential equations with order 1 < ${\alpha}$ < 2 by upper and lower solution method. Using the theory of Hausdorff measure of noncompactness, a series of results about the solutions to such differential equations is obtained.

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참고문헌

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