Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2013.08.01
  • Published : 2014.11.01
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Abstract

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.

Keywords

References

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