| Title:
|
On a class of abstract degenerate fractional differential equations of parabolic type (English) |
| Author:
|
Kostić, Marko |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
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0010-2628 (print) |
| ISSN:
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1213-7243 (online) |
| Volume:
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59 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
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81-101 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
abstract degenerate fractional differential equations |
| Keyword:
|
infinitely differentiable fractional resolvent families |
| Keyword:
|
multivalued linear operators |
| Keyword:
|
semi-linear degenerate fractional Cauchy problems |
| Keyword:
|
Caputo fractional derivatives |
| MSC:
|
47D03 |
| MSC:
|
47D06 |
| MSC:
|
47D62 |
| MSC:
|
47D99 |
| MSC:
|
47G20 |
| idZBL:
|
Zbl 06890398 |
| idMR:
|
MR3783810 |
| DOI:
|
10.14712/1213-7243.2015.235 |
| . |
| Date available:
|
2018-04-17T13:49:15Z |
| Last updated:
|
2020-04-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147180 |
| . |
| Reference:
|
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