Results 11 to 20 of about 806,938 (302)
A new view of nonlinear water waves: the Hilbert spectrum [PDF]
Annual Review of Fluid Mechanics, 1999 We survey the newly developed Hilbert spectral analysis method and its applications to Stokes waves, nonlinear wave evolution processes, the spectral form of the random wave field, and turbulence.
Huang, Norden E. +2 more
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Mathematics, 2022 In this paper, we establish existence and uniqueness results for single-valued as well as multi-valued (k,ψ)-Hilfer boundary value problems of order in (1,2], subject to nonlocal integro-multi-point boundary conditions.
Sotiris K. Ntouyas +2 more
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Foundations, 2023 In this paper, we study a coupled system of nonlinear proportional fractional differential equations of the Hilfer-type with a new kind of multi-point and integro-multi-strip boundary conditions.
Sotiris K. Ntouyas +2 more
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System of fractional differential equations with Erdélyi-Kober fractional integral conditions
Open Mathematics, 2015 In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions.
Thongsalee Natthaphong +3 more
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Fractional Integral Inequalities via Hadamard’s Fractional Integral
Abstract and Applied Analysis, 2014 We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities.
Weerawat Sudsutad +2 more
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Journal of Applied Mathematics, 2014 We discuss the existence and uniqueness of solutions for boundary value problems involving multiterm fractional integral boundary conditions. Our study relies on standard fixed point theorems. Illustrative examples are also presented.
Jessada Tariboon +2 more
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Mathematics, 2020 Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann–Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions.
Jessada Tariboon +3 more
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Vibration-based damage detection in plates by using time series analysis [PDF]
, 2008 This paper deals with the problem for vibration health monitoring (VHM) in structures with nonlinear dynamic behaviour. It aims to introduce two viable VHM methods that use large amplitude vibrations and are based on nonlinear time series analysis.
Manoach, Emil, Trendafilova, I.
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Complex Network Analysis and Nonlinear Dynamics [PDF]
, 2016 This chapter aims at reviewing complex network and nonlinear dynamical models and methods that were either developed for or applied to socioeconomic issues, and pertinent to the theme of New Economic Geography. After an introduction to the foundations of the field of complex networks, the present summary introduces some applications of complex networks
Varela, Luis M, ROTUNDO, Giulia
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Abstract and Applied Analysis, 2014 Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.
Phollakrit Thiramanus +2 more
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