Fractional boundary value problems on the half line
In this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2017-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3710.pdf |
| _version_ | 1818291125962670080 |
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| author | Assia Frioui Assia Guezane-Lakoud Rabah Khaldi |
| author_facet | Assia Frioui Assia Guezane-Lakoud Rabah Khaldi |
| author_sort | Assia Frioui |
| collection | DOAJ |
| description | In this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example. |
| first_indexed | 2024-12-13T02:39:06Z |
| format | Article |
| id | doaj.art-4fc57dcba0004570a818f08172f5710a |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-13T02:39:06Z |
| publishDate | 2017-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-4fc57dcba0004570a818f08172f5710a2022-12-22T00:02:20ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742017-01-01372265280http://dx.doi.org/10.7494/OpMath.2017.37.2.2653710Fractional boundary value problems on the half lineAssia Frioui0Assia Guezane-Lakoud1Rabah Khaldi2University Guelma, Laboratory of Applied Mathematics and Modeling, P.O. Box 401, Guelma 24000, AlgeriaUniversity Badji Mokhtar-Annaba, Faculty of Sciences, Laboratory of Advanced Materials, P.O. Box 12, 23000, Annaba, AlgeriaUniversity Badji Mokhtar-Annaba, Faculty of Sciences, Laboratory of Advanced Materials, P.O. Box 12, 23000, Annaba, AlgeriaIn this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example.http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3710.pdfboundary value problem at resonanceexistence of solutionunbounded intervalcoincidence degree of Mawhinfractional differential equation |
| spellingShingle | Assia Frioui Assia Guezane-Lakoud Rabah Khaldi Fractional boundary value problems on the half line Opuscula Mathematica boundary value problem at resonance existence of solution unbounded interval coincidence degree of Mawhin fractional differential equation |
| title | Fractional boundary value problems on the half line |
| title_full | Fractional boundary value problems on the half line |
| title_fullStr | Fractional boundary value problems on the half line |
| title_full_unstemmed | Fractional boundary value problems on the half line |
| title_short | Fractional boundary value problems on the half line |
| title_sort | fractional boundary value problems on the half line |
| topic | boundary value problem at resonance existence of solution unbounded interval coincidence degree of Mawhin fractional differential equation |
| url | http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3710.pdf |
| work_keys_str_mv | AT assiafrioui fractionalboundaryvalueproblemsonthehalfline AT assiaguezanelakoud fractionalboundaryvalueproblemsonthehalfline AT rabahkhaldi fractionalboundaryvalueproblemsonthehalfline |