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Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives

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dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Agarwal, Ravi P.
dc.contributor.author Alzabut, Jehad
dc.contributor.author Jarad, Fahd
dc.contributor.author Özbekler, Abdullah
dc.date.accessioned 2018-09-12T09:09:17Z
dc.date.available 2018-09-12T09:09:17Z
dc.date.issued 2018-06-20
dc.identifier.citation Abdeljawad, T...et al. (2018). Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives. Journal Of Inequalities Applications, 143. http://dx.doi.org/10.1186/s13660-018-1731-x tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/1705
dc.description.abstract We state and prove new generalized Lyapunov-type and Hartman-type inequalities fora conformable boundary value problem of order alpha is an element of (1,2] with mixed non-linearities of the form ((T alpha X)-X-a)(t) + r(1)(t)vertical bar X(t)vertical bar(eta-1) X(t) + r(2)(t)vertical bar x(t)vertical bar(delta-1) X(t) = g(t), t is an element of (a, b), satisfying the Dirichlet boundary conditions x(a) = x(b) = 0, where r(1), r(2), and g are real-valued integrable functions, and the non-linearities satisfy the conditions 0 < eta < 1 < delta < 2. Moreover, Lyapunov-type and Hartman-type inequalities are obtained when the conformable derivative T-alpha(a) is replaced by a sequential conformable derivative T-alpha(a) circle T-alpha(a), alpha is an element of (1/2,1]. The potential functions r(1), r(2) as well as the forcing term g require no sign restrictions. The obtained inequalities generalize some existing results in the literature. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer tr_TR
dc.relation.isversionof 10.1186/s13660-018-1731-x tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Lyapunov Inequality tr_TR
dc.subject Hartman Inequality tr_TR
dc.subject Conformable Derivative tr_TR
dc.subject Green's Function tr_TR
dc.subject Boundary Value Problem tr_TR
dc.subject Mixed Non-Linearities tr_TR
dc.title Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives tr_TR
dc.type article tr_TR
dc.relation.journal Journal Of Inequalities Applications tr_TR
dc.contributor.authorID 234808 tr_TR
dc.contributor.authorID 114439 tr_TR
dc.identifier.volume 143 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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