doiSerbia

Asymptotically almost periodic solutions of fractional relaxation inclusions with Caputo derivatives

Kostić Marko

We analyze asymptotically almost periodic solutions for a class of (semilinear) fractional relaxation inclusions with Stepanov almost periodic coefficients. As auxiliary tools, we use subordination principles, fixed point theorems and the well known results on the generation of infinitely differentiable degenerate semigroups with removable singularities at zero. Our results are well illustrated and seem to be not considered elsewhere even for fractional relaxation equations with almost sectorial operators.

Keywords: fractional relaxation inclusions, Caputo fractional derivatives, asymptotical almost periodicity, Stepanov asymptotical almost periodicity, multivalued linear operators

Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. 174024