Lyapunov Type Inequalities for Mixed Nonlinear Riemann-Liouville Fractional Differential Equations With a Forcing Term
| 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.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.doi | 10.1016/j.cam.2016.10.009 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.scopus | 2-s2.0-84999084607 | |
| 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.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| 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 |
| dspace.entity.type | Publication | |
| gdc.author.id | Agarwal, Ravi P/0000-0003-0075-1704 | |
| gdc.author.institutional | Özbekler, Abdullah | |
| gdc.author.scopusid | 36013313700 | |
| gdc.author.scopusid | 9434099700 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 78 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 69 | en_US |
| gdc.description.volume | 314 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000390508800006 | |
| gdc.scopus.citedcount | 20 | |
| gdc.wos.citedcount | 18 | |
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