Abstract:In this paper, we investigate a class of abstract degenerate fractional differential equations with Caputo derivatives. We consider subordinated fractional resolvent families generated by multivalued linear operators, which do have removable singularities at the origin. Semi-linear degenerate fractional Cauchy problems are also considered in this context.
Keywords: abstract degenerate fractional differential equations; infinitely differentiable fractional resolvent families; multivalued linear operators; semi-linear degenerate fractional Cauchy problems; Caputo fractional derivatives
DOI: DOI 10.14712/1213-7243.2015.235
AMS Subject Classification: 47D03 47D06 47D62 47D99 47G20