Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function
We consider a fractional boundary value problem involving a fractional derivative with respect to a certain function g. A Hartman-Wintner-type inequality is obtained for such problem. Next, several Lyapunov-type inequalities are deduced for different choices of the function g. Moreover, some applica...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/5123240 |
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| _version_ | 1832551567761342464 |
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| author | Mohamed Jleli Mokhtar Kirane Bessem Samet |
| author_facet | Mohamed Jleli Mokhtar Kirane Bessem Samet |
| author_sort | Mohamed Jleli |
| collection | DOAJ |
| description | We consider a fractional boundary value problem involving a fractional derivative with respect to a certain function g. A Hartman-Wintner-type inequality is obtained for such problem. Next, several Lyapunov-type inequalities are deduced for different choices of the function g. Moreover, some applications to eigenvalue problems are presented. |
| format | Article |
| id | doaj-art-cdc3539022984b70883e0a6303fa3c27 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-cdc3539022984b70883e0a6303fa3c272025-02-03T06:01:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/51232405123240Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another FunctionMohamed Jleli0Mokhtar Kirane1Bessem Samet2Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaLaSIE, Pôle Sciences et Technologies, Université de La Rochelle, avenue M. Crépeau, 17042 La Rochelle Cedex, FranceDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe consider a fractional boundary value problem involving a fractional derivative with respect to a certain function g. A Hartman-Wintner-type inequality is obtained for such problem. Next, several Lyapunov-type inequalities are deduced for different choices of the function g. Moreover, some applications to eigenvalue problems are presented.http://dx.doi.org/10.1155/2017/5123240 |
| spellingShingle | Mohamed Jleli Mokhtar Kirane Bessem Samet Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function Discrete Dynamics in Nature and Society |
| title | Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function |
| title_full | Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function |
| title_fullStr | Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function |
| title_full_unstemmed | Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function |
| title_short | Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function |
| title_sort | hartman wintner type inequality for a fractional boundary value problem via a fractional derivative with respect to another function |
| url | http://dx.doi.org/10.1155/2017/5123240 |
| work_keys_str_mv | AT mohamedjleli hartmanwintnertypeinequalityforafractionalboundaryvalueproblemviaafractionalderivativewithrespecttoanotherfunction AT mokhtarkirane hartmanwintnertypeinequalityforafractionalboundaryvalueproblemviaafractionalderivativewithrespecttoanotherfunction AT bessemsamet hartmanwintnertypeinequalityforafractionalboundaryvalueproblemviaafractionalderivativewithrespecttoanotherfunction |