Asymptotically Linear Solutions for Some Linear Fractional Differential Equations
We establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation D0tα[tx′−x+x(0)]+a(t)x=0, t>0, has a solution expressible as ct+d+o(1) for t→+∞, where D0tα designates the Riemann-Liouville derivative of order α∈(0,1) and c,d∈ℝ....
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/865139 |
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| author | Dumitru Baleanu Octavian G. Mustafa Ravi P. Agarwal |
| author_facet | Dumitru Baleanu Octavian G. Mustafa Ravi P. Agarwal |
| author_sort | Dumitru Baleanu |
| collection | DOAJ |
| description | We establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation D0tα[tx′−x+x(0)]+a(t)x=0, t>0, has a solution expressible as ct+d+o(1) for t→+∞, where D0tα designates the Riemann-Liouville derivative of order α∈(0,1) and c,d∈ℝ. |
| format | Article |
| id | doaj-art-f48385f9920b4730b124e6a4e34790ec |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f48385f9920b4730b124e6a4e34790ec2025-02-03T01:02:00ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/865139865139Asymptotically Linear Solutions for Some Linear Fractional Differential EquationsDumitru Baleanu0Octavian G. Mustafa1Ravi P. Agarwal2Department of Mathematics & Computer Science, Çankaya University, Ogretmenler Cad. 14 06530, Balgat, Ankara, TurkeyDepartment of Mathematics & Computer Science, University of Craiova, DAL, Tudor Vladimirescu 26, 200534 Craiova, RomaniaDepartment of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USAWe establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation D0tα[tx′−x+x(0)]+a(t)x=0, t>0, has a solution expressible as ct+d+o(1) for t→+∞, where D0tα designates the Riemann-Liouville derivative of order α∈(0,1) and c,d∈ℝ.http://dx.doi.org/10.1155/2010/865139 |
| spellingShingle | Dumitru Baleanu Octavian G. Mustafa Ravi P. Agarwal Asymptotically Linear Solutions for Some Linear Fractional Differential Equations Abstract and Applied Analysis |
| title | Asymptotically Linear Solutions for Some Linear Fractional Differential Equations |
| title_full | Asymptotically Linear Solutions for Some Linear Fractional Differential Equations |
| title_fullStr | Asymptotically Linear Solutions for Some Linear Fractional Differential Equations |
| title_full_unstemmed | Asymptotically Linear Solutions for Some Linear Fractional Differential Equations |
| title_short | Asymptotically Linear Solutions for Some Linear Fractional Differential Equations |
| title_sort | asymptotically linear solutions for some linear fractional differential equations |
| url | http://dx.doi.org/10.1155/2010/865139 |
| work_keys_str_mv | AT dumitrubaleanu asymptoticallylinearsolutionsforsomelinearfractionaldifferentialequations AT octaviangmustafa asymptoticallylinearsolutionsforsomelinearfractionaldifferentialequations AT ravipagarwal asymptoticallylinearsolutionsforsomelinearfractionaldifferentialequations |