Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4
We establish new Lyapunov-type inequalities for the following conformable fractional boundary value problem (BVP): Tαaut+q(t)u(t)=0, a<t<b, u(a)=u′(a)=u′′(a)=u′′(b)=0, where Tαa is the conformable fractional derivative of order α∈(3,4] and q is a real-valued continuous function. Some applica...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/4605076 |
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| author | Imed Bachar Hassan Eltayeb |
| author_facet | Imed Bachar Hassan Eltayeb |
| author_sort | Imed Bachar |
| collection | DOAJ |
| description | We establish new Lyapunov-type inequalities for the following conformable fractional boundary value problem (BVP): Tαaut+q(t)u(t)=0, a<t<b, u(a)=u′(a)=u′′(a)=u′′(b)=0, where Tαa is the conformable fractional derivative of order α∈(3,4] and q is a real-valued continuous function. Some applications to the corresponding eigenvalue problem are discussed. |
| format | Article |
| id | doaj-art-5187708d55c640398ebe6bcb56045861 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5187708d55c640398ebe6bcb560458612025-02-03T05:50:46ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/46050764605076Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4Imed Bachar0Hassan Eltayeb1King Saud University, College of Science, Mathematics Department, P.O. Box 2455, Riyadh 11451, Saudi ArabiaKing Saud University, College of Science, Mathematics Department, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe establish new Lyapunov-type inequalities for the following conformable fractional boundary value problem (BVP): Tαaut+q(t)u(t)=0, a<t<b, u(a)=u′(a)=u′′(a)=u′′(b)=0, where Tαa is the conformable fractional derivative of order α∈(3,4] and q is a real-valued continuous function. Some applications to the corresponding eigenvalue problem are discussed.http://dx.doi.org/10.1155/2019/4605076 |
| spellingShingle | Imed Bachar Hassan Eltayeb Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4 Journal of Function Spaces |
| title | Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4 |
| title_full | Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4 |
| title_fullStr | Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4 |
| title_full_unstemmed | Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4 |
| title_short | Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3<α≤4 |
| title_sort | lyapunov type inequalities for a conformable fractional boundary value problem of order 3 α≤4 |
| url | http://dx.doi.org/10.1155/2019/4605076 |
| work_keys_str_mv | AT imedbachar lyapunovtypeinequalitiesforaconformablefractionalboundaryvalueproblemoforder3a4 AT hassaneltayeb lyapunovtypeinequalitiesforaconformablefractionalboundaryvalueproblemoforder3a4 |