Lyapunov Type Inequalities for Mixed Nonlinear Riemann-Liouville Fractional Differential Equations With a Forcing Term

dc.authorid Agarwal, Ravi P/0000-0003-0075-1704
dc.authorscopusid 36013313700
dc.authorscopusid 9434099700
dc.contributor.author Agarwal, Ravi P.
dc.contributor.author Ozbekler, Abdullah
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:29:24Z
dc.date.available 2024-07-05T15:29:24Z
dc.date.issued 2017
dc.department Atılım University en_US
dc.department-temp [Agarwal, Ravi P.; Ozbekler, Abdullah] Texas A&M Univ, Dept Math, 700 Univ Blvd, Kingsville, TX 78363 USA; [Ozbekler, Abdullah] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description Agarwal, Ravi P/0000-0003-0075-1704 en_US
dc.description.abstract In this paper, we present some new Lyapunov and Hartman type inequalities for Riemann-Liouville fractional differential equations of the form ((a)D(alpha)x)(t) + p(t) vertical bar x(t) vertical bar(mu-1) x(t) + q(t) vertical bar x(t) vertical bar(gamma-1) x(t) = f(t), where p, q, f are real-valued functions and 0 < gamma < 1 < mu < 2. No sign restrictions are imposed on the potential functions p, q and the forcing term f. The inequalities obtained generalize and compliment the existing results for the special cases of this equation in the literature. (C) 2016 Elsevier B.V. All rights reserved. en_US
dc.description.sponsorship TUBITAK [2219] en_US
dc.description.sponsorship This work was carried out when the second author was on academic leave, visiting TAMUK (Texas A&M University Kingsville) and he wishes to thank TAMUK. This work is partially supported by TUBITAK (2219) (The Scientific and Technological Research Council of Turkey). en_US
dc.identifier.citationcount 17
dc.identifier.doi 10.1016/j.cam.2016.10.009
dc.identifier.endpage 78 en_US
dc.identifier.issn 0377-0427
dc.identifier.issn 1879-1778
dc.identifier.scopus 2-s2.0-84999084607
dc.identifier.startpage 69 en_US
dc.identifier.uri https://doi.org/10.1016/j.cam.2016.10.009
dc.identifier.uri https://hdl.handle.net/20.500.14411/2920
dc.identifier.volume 314 en_US
dc.identifier.wos WOS:000390508800006
dc.identifier.wosquality Q1
dc.institutionauthor Özbekler, Abdullah
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 20
dc.subject Lyapunov type inequality en_US
dc.subject Sub-linear en_US
dc.subject Super-linear en_US
dc.subject Forced en_US
dc.subject Fractional en_US
dc.subject Riemann-Liouville en_US
dc.title Lyapunov Type Inequalities for Mixed Nonlinear Riemann-Liouville Fractional Differential Equations With a Forcing Term en_US
dc.type Article en_US
dc.wos.citedbyCount 18
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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