Research Paper Solution Set for Fractional Differential Equations with Riemann-liouville Derivative

نویسندگان

  • Yurilev Chalco-Cano
  • Juan J. Nieto
  • Abdelghani Ouahab
  • Heriberto Román-Flores
چکیده

We study an initial value problem for a fractional differential equation using the Riemann-Liouville fractional derivative. We obtain some topological properties of the solution set: It is the intersection of a decreasing sequence of compact nonempty contractible spaces. We extend the classical Kneser’s theorem on the structure solution set for ordinary differential equations. MSC 2010 : 26A33, 26A42, 34A60

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تاریخ انتشار 2013