Geodesic
On a class of abstract degenerate fractional differential equations of parabolic type
Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 1, pp. 81-101.

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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.
DOI : 10.14712/1213-7243.2015.235
Classification : 47D03, 47D06, 47D62, 47D99, 47G20
Keywords: abstract degenerate fractional differential equations; infinitely differentiable fractional resolvent families; multivalued linear operators; semi-linear degenerate fractional Cauchy problems; Caputo fractional derivatives 
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Kostić, Marko. On a class of abstract degenerate fractional differential equations of parabolic type. Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 1, pp. 81-101. doi : 10.14712/1213-7243.2015.235. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.235/

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