On a class of abstract degenerate fractional differential equations of parabolic type. (English) Zbl 1463.47127
Summary: 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.
MSC:
| 47D06 | One-parameter semigroups and linear evolution equations |
| 47D62 | Integrated semigroups |
| 47A06 | Linear relations (multivalued linear operators) |
| 34A08 | Fractional ordinary differential equations |
| 34G10 | Linear differential equations in abstract spaces |
Keywords:
abstract degenerate fractional differential equations; infinitely differentiable fractional resolvent families; multivalued linear operators; semilinear degenerate fractional Cauchy problems; Caputo fractional derivatives; semilinear degenerate Cauchy inclusionReferences:
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