Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions
We prove Hartman-type and Lyapunov-type inequalities for a class of Riemann–Liouville fractional boundary value problems with fractional boundary conditions. Some applications including a lower bound for the corresponding eigenvalue problem are obtained.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/8234892 |
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| _version_ | 1832568125143384064 |
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| author | Imed Bachar Hassan Eltayeb |
| author_facet | Imed Bachar Hassan Eltayeb |
| author_sort | Imed Bachar |
| collection | DOAJ |
| description | We prove Hartman-type and Lyapunov-type inequalities for a class of Riemann–Liouville fractional boundary value problems with fractional boundary conditions. Some applications including a lower bound for the corresponding eigenvalue problem are obtained. |
| format | Article |
| id | doaj-art-0f0699fda0be4495a27809463f413d56 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0f0699fda0be4495a27809463f413d562025-02-03T00:59:43ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/82348928234892Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary ConditionsImed 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 prove Hartman-type and Lyapunov-type inequalities for a class of Riemann–Liouville fractional boundary value problems with fractional boundary conditions. Some applications including a lower bound for the corresponding eigenvalue problem are obtained.http://dx.doi.org/10.1155/2020/8234892 |
| spellingShingle | Imed Bachar Hassan Eltayeb Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions Discrete Dynamics in Nature and Society |
| title | Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions |
| title_full | Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions |
| title_fullStr | Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions |
| title_full_unstemmed | Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions |
| title_short | Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions |
| title_sort | hartman type and lyapunov type inequalities for a fractional differential equation with fractional boundary conditions |
| url | http://dx.doi.org/10.1155/2020/8234892 |
| work_keys_str_mv | AT imedbachar hartmantypeandlyapunovtypeinequalitiesforafractionaldifferentialequationwithfractionalboundaryconditions AT hassaneltayeb hartmantypeandlyapunovtypeinequalitiesforafractionaldifferentialequationwithfractionalboundaryconditions |