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    STUDIA MATHEMATICA - Issue no. 3 / 2010  
         
  Article:   ON A FRACTIONAL DIFFERENTIAL INCLUSION WITH BOUNDARY CONDITIONS.

Authors:  AURELIAN CERNEA.
 
       
         
  Abstract:  We prove a Filippov type existence theorem for solutions of a fractional differential inclusion defined by a nonconvex set-valued map with Dirichlet boundary conditions. The method consists in application of the contraction principle in the space of selections of the set-valued map instead of the space of solutions.

Key words and phrases. Differential inclusion, fractional derivative, boundary value problem, fixed point, contractive set-valued map.
 
         
     
         
         
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