Marko Kostić
On a class of abstract degenerate fractional differential equations of parabolic type

Comment.Math.Univ.Carolin. 59,1 (2018) 81-101.

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

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