Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator

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dc.authorid0000-0002-3950-6864
dc.authorid0000-0002-9277-8092
dc.authorid0000-0001-6603-2652
dc.authorid0000-0003-1091-9697
dc.authorid0000-0002-9277-8092
dc.authorid0000-0001-6603-2652
dc.authorid0000-0003-1091-9697
dc.authorscopusid35179145500
dc.authorscopusid55539330800
dc.authorscopusid26657919900
dc.authorscopusid23152241800
dc.authorwosidAraci, Serkan/P-4355-2015
dc.authorwosidSrivastava, Hari M./P-7150-2019
dc.authorwosidAÇIKGÖZ, MEHMET/F-7527-2019
dc.authorwosidSen, Erdogan/ABA-5139-2020
dc.authorwosidSrivastava, Hari M./N-9532-2013
dc.authorwosidŞen, Erdoğan/J-7484-2017
dc.authorwosidAcikgoz, Mehmet/AAH-2493-2020
dc.contributor.authorAraci, Serkan
dc.contributor.authorŞen, Erdoğan
dc.contributor.authorAçıkgöz, Mehmet
dc.contributor.authorSrivastava, Hari M.
dc.date.accessioned2022-05-11T14:31:16Z
dc.date.available2022-05-11T14:31:16Z
dc.date.issued2015
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 (0 < t < 1; 0 < gamma < 1; 3 < delta < 4), y(0) = (D(q)y)(0) = (D(q)(2)y)(0) = 0, a(1)(D(q)y)(1) + a(2)(D(q)(2)y)(1) = 0, a(1) + vertical bar a(2)vertical bar not equal 0, D(0+)(gamma)y(t)vertical bar(t=0) = 0. We make use of such a fractional q- difference boundary value problem in order to show the existence and uniqueness of positive and nondecreasing solutions by means of a familiar fixed point theorem.
dc.identifier.doi10.1186/s13662-015-0375-0
dc.identifier.issn1687-1847
dc.identifier.scopus2-s2.0-84922820852
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1186/s13662-015-0375-0
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7388
dc.identifier.wosWOS:000349617300003
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞen, Erdoğan
dc.language.isoen
dc.publisherSpringeropen
dc.relation.ispartofAdvances in Difference Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectpositive solutions
dc.subjectfixed point theorem
dc.subjectfractional q-difference equation
dc.subjectp-Laplacian operator
dc.subjectQ-Integrals
dc.subjectTheorems
dc.titleExistence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator
dc.typeArticle

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