Results 31 to 40 of about 211 (181)
On New Inequalities via Riemann‐Liouville Fractional Integration [PDF]
Abstract and Applied Analysis, 2012 We extend the Montgomery identities for the Riemann‐Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some integral inequalities for the fractional integral using differentiable convex functions.
Sarikaya, Mehmet Zeki, Ogunmez, Hasan
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Liouville integrable defects: the non-linear Schrödinger paradigm [PDF]
Journal of High Energy Physics, 2012 A systematic approach to Liouville integrable defects is proposed, based on an underlying Poisson algebraic structure. The non-linear Schrodinger model in the presence of a single particle-like defect is investigated through this algebraic approach. Local integrals of motions are constructed as well as the time components of the corresponding Lax pairs.
Avan, Jean, Doikou, Anastasia
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Integrable Systems: In the Footprints of the Greats
Mathematics, 2023 In his 1842 lectures on dynamics C.G. Jacobi summarized difficulties with differential equations by saying that the main problem in the integration of differential equations appears in the choice of right variables.
Velimir Jurdjevic
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First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of natural (geodesic) n-dimensional Hamiltonians L. The Liouville integrability of
Giovanni Rastelli +2 more
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Integrability and cycles of deformed N=2 gauge theory
Physics Letters B, 2020 To analyse pure N=2 SU(2) gauge theory in the Nekrasov-Shatashvili (NS) limit (or deformed Seiberg-Witten (SW)), we use the Ordinary Differential Equation/Integrable Model (ODE/IM) correspondence, and in particular its (broken) discrete symmetry in its ...
Davide Fioravanti, Daniele Gregori
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Repeating Nuclear Transients From Repeating Partial Tidal Disruption Events
Astronomische Nachrichten, EarlyView.ABSTRACT Extragalactic nuclear transients that exhibit repeating outbursts can be modeled as the repeated dynamical interaction between bound stars and supermassive black holes (SMBHs). A subset of these transients, with recurrence timescales of months‐to‐years, have been explained as accretion flares from the repeated tidal stripping of a star by an ...
Ananya Bandopadhyay +4 more
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P T $$ \mathcal{P}\mathcal{T} $$ deformation of Calogero-Sutherland models
Journal of High Energy Physics, 2019 Calogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a P T $$ \mathcal{P}\mathcal{T} $$ symmetry.
Francisco Correa, Olaf Lechtenfeld
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Some results on integral inequalities via Riemann–Liouville fractional integrals [PDF]
Journal of Inequalities and Applications, 2019 In current continuation, we have incorporated the notion of $s- ( {\alpha,m} ) $ -convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral inequalities of Hermite–Hadamard and Simpson type using $s- ( {\alpha,m} ) $ -convex function via Riemann–Liouville fractional ...
LI Xiao-ling +6 more
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Creep properties and constitutive model of diabase in deep water conveyance tunnels
Deep Underground Science and Engineering, EarlyView.The axial and lateral creep characteristics of diabase were analyzed based on compression creep tests. The nonlinear viscoelastic‐plastic model capable of describing the whole creep process was established based on the fractional derivative and damage theories.
Zhigang Tao +5 more
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Discrete Dynamics in Nature and Society, 2018 An integrable family of the different-difference equations is derived from a discrete matrix spectral problem by the discrete zero curvature representation. Hamiltonian structure of obtained integrable family is established.
Xi-Xiang Xu, Meng Xu
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