Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations

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dc.contributor.authorAhmad, Bashir
dc.contributor.authorNtouyas, Sotiris
dc.date.accessioned2022-03-22T19:40:18Z
dc.date.available2022-03-22T19:40:18Z
dc.date.issued2017-02-02
dc.description.abstractIn this article, we study the existence and uniqueness of solutions for Hadamard-type sequential fractional order neutral functional differential equations. The Banach fixed point theorem, a nonlinear alternative of Leray-Schauder type and Krasnoselski fixed point theorem are used to obtain the desired results. Examples illustrating the main results are presented. An initial value integral condition case is also discussed.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAhmad, B., & Ntouyas, S. K. (2017). Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(36), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15541
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.subjectExistence
dc.subjectFixed point
dc.subjectFunctional fractional differential equations
dc.subjectCaputo-Hadamard fractional differential equations
dc.titleExistence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations
dc.typeArticle

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