| Title:
|
Unique solvability of fractional functional differential equation on the basis of Vallée-Poussin theorem (English) |
| Author:
|
Srivastava, Satyam Narayan |
| Author:
|
Domoshnitsky, Alexander |
| Author:
|
Padhi, Seshadev |
| Author:
|
Raichik, Vladimir |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2023 |
| Pages:
|
117-123 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We propose explicit tests of unique solvability of two-point and focal boundary value problems for fractional functional differential equations with Riemann-Liouville derivative. (English) |
| Keyword:
|
Riemann-Liouville derivative |
| Keyword:
|
unique solvability |
| Keyword:
|
differential inequality |
| MSC:
|
26A33 |
| MSC:
|
34A08 |
| MSC:
|
34K37 |
| idZBL:
|
Zbl 07675580 |
| idMR:
|
MR4563022 |
| DOI:
|
10.5817/AM2023-1-117 |
| . |
| Date available:
|
2023-02-22T14:34:46Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151556 |
| . |
| Reference:
|
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| Reference:
|
[2] Azbelev, N.V., Maksimov, V.P., Rakhmatullina, L.F.: Introduction to the Theory of Functional Differential Equations.Hindawi Publishing, 2007. MR 2319815 |
| Reference:
|
[3] Benmezai, A., Saadi, A.: Existence of positive solutions for a nonlinear fractional differential equations with integral boundary conditions.J. Fract. Calc. Appl. 7 (2) (2016), 145–152. MR 3481772 |
| Reference:
|
[4] Domoshnitsky, A., Padhi, S., Srivastava, S.N.: Vallée-Poussin theorem for fractional functional differential equations.Fract. Calc. Appl. Anal. 25 (2022), 1630–1650, https://doi.org/10.1007/s13540-022-00061-z. MR 4468528, 10.1007/s13540-022-00061-z |
| Reference:
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[5] Ferreira, R.: A Lyapunov-type inequality for a fractional boundary value problem.Fract. Calc. Appl. Anal. 16 (4) (2013), 978–984, https://doi.org/10.2478/s13540-013-0060-5. MR 3124347, 10.2478/s13540-013-0060-5 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[13] Padhi, S., Graef, J.R., Pati, S.: Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions.Fract. Calc. Appl. Anal. 21 (3) (2018), 716–745, https://doi.org/10.1515/fca-2018-0038. MR 3827151, 10.1515/fca-2018-0038 |
| Reference:
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| . |
