Open AccessAbstract degenerate fractional differential inclusions in Banach spaces
Author(s) -
Marko Kostić
Publication year - 2017
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm1701039k
Subject(s) - mathematics , degenerate energy levels , context (archaeology) , banach space , fractional calculus , pure mathematics , gravitational singularity , cauchy distribution , class (philosophy) , differential inclusion , mathematical analysis , paleontology , physics , quantum mechanics , artificial intelligence , computer science , biology
In the paper under review, we investigate a class of abstract degenerate fractional differential inclusions 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.