Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations

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dc.contributor.authorEloe, Paul W.
dc.contributor.authorJonnalagadda, Jaganmohan
dc.date.accessioned2021-11-05T19:32:00Z
dc.date.available2021-11-05T19:32:00Z
dc.date.issued2019-05-03
dc.description.abstractWe apply the quasilinearization method to a Dirichlet boundary value problem and to a right focal boundary value problem for a Riemann-Liouville fractional differential equation. First, we sue the method of upper and lower solutions to obtain the uniqueness of solutions of the Dirichlet boundary value problem. Next, we apply a suitable fixed point theorem to establish the existence of solutions. We develop a quasilinearization algorithm and construct sequences of approximate solutions that converge monotonically and quadratically to the unique solution of the boundary value problem. Two examples are exhibited to illustrate the main result for the Dirichlet boundary value problem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEloe, P. W., & Jonnalagadda, J. (2019). Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations. <i>Electronic Journal of Differential Equations, 2019</i>(58), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14791
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectRiemann-Liouville fractional differential equation
dc.subjectDirichlet boundary value problem
dc.subjectRight focal boundary value problem
dc.subjectUpper and lower solutions
dc.subjectQuasilinearization
dc.titleQuasilinearization and boundary value problems for Riemann-Liouville fractional differential equations
dc.typeArticle

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