Lyapunov-type inequalities for α-th order fractional differential equations with 2 < α < 3 and fractional boundary conditions

dc.contributor.authorDhar, Sougata
dc.contributor.authorKong, Qingkai
dc.date.accessioned2022-06-10T19:05:24Z
dc.date.available2022-06-10T19:05:24Z
dc.date.issued2017-09-06
dc.description.abstractWe study linear fractional boundary value problems consisting of an α-th order Riemann-Liouville fractional differential equation with 2 < α < 3 and certain fractional boundary conditions. We derive several Lyapunov-type inequalities and apply them to establish nonexistence, uniqueness, and existence-uniqueness of solutions for related homogeneous and nonhomogeneous linear fractional boundary value problems. As a special case, our work extends some existing results for third-order linear boundary value problems.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDhar, S., & Kong, Q. (2017). Lyapunov-type inequalities for α-th order fractional differential equations with 2 < α < 3 and fractional boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(203), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15897
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional differential equations
dc.subjectFractional boundary conditions
dc.subjectLyapunov-type inequalities
dc.subjectBoundary value problems
dc.subjectExistence and uniqueness of solutions
dc.titleLyapunov-type inequalities for α-th order fractional differential equations with 2 < α < 3 and fractional boundary conditions
dc.typeArticle

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