| Title:
|
Cauchy problem with Denjoy-Stieltjes integral (English) |
| Author:
|
Morales Macías, María Guadalupe |
| Language:
|
English |
| Journal:
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Mathematica Bohemica |
| ISSN:
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0862-7959 (print) |
| ISSN:
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2464-7136 (online) |
| Volume:
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149 |
| Issue:
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4 |
| Year:
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2024 |
| Pages:
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471-490 |
| Summary lang:
|
English |
| . |
| Category:
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math |
| . |
| Summary:
|
This work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order $n\geq 1$. These kinds of equations are a generalization of the measure differential equations. Our results extend A. A. Kilbas, H. M. Srivastava, J. J. Trujillo (2006) and H. Zhou, G. Ye, W. Liu, O. Wang (2015). (English) |
| Keyword:
|
fractional measure differential equation |
| Keyword:
|
Cauchy problem |
| Keyword:
|
Riemann-Liouville fractional integral and derivative |
| Keyword:
|
distributional Denjoy integral |
| MSC:
|
26A39 |
| MSC:
|
26A42 |
| MSC:
|
34A08 |
| MSC:
|
34A12 |
| DOI:
|
10.21136/MB.2024.0072-22 |
| . |
| Date available:
|
2024-12-13T19:04:23Z |
| Last updated:
|
2024-12-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152675 |
| . |
| Reference:
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