A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition
We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real zeros.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/468536 |
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| _version_ | 1832551706046496768 |
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| author | Mohamed Jleli Lakhdar Ragoub Bessem Samet |
| author_facet | Mohamed Jleli Lakhdar Ragoub Bessem Samet |
| author_sort | Mohamed Jleli |
| collection | DOAJ |
| description | We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real zeros. |
| format | Article |
| id | doaj-art-e3db5454d8e14b40b9de4623ee827745 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e3db5454d8e14b40b9de4623ee8277452025-02-03T06:00:46ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/468536468536A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary ConditionMohamed Jleli0Lakhdar Ragoub1Bessem Samet2Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Computing and Information Systems, Al Yamamah University, Riyadh, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real zeros.http://dx.doi.org/10.1155/2015/468536 |
| spellingShingle | Mohamed Jleli Lakhdar Ragoub Bessem Samet A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition Journal of Function Spaces |
| title | A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition |
| title_full | A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition |
| title_fullStr | A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition |
| title_full_unstemmed | A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition |
| title_short | A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition |
| title_sort | lyapunov type inequality for a fractional differential equation under a robin boundary condition |
| url | http://dx.doi.org/10.1155/2015/468536 |
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