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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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AIMS Mathematics, 2023 In this paper, we investigate the existence and uniqueness of solutions to a nonlinear coupled systems of $ (k, \varphi) $-Hilfer fractional differential equations supplemented with nonlocal integro-multi-point boundary conditions.
Nattapong Kamsrisuk +4 more
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Numerical and experimental comparisons of vortex-induced vibrations of marine risers in uniform/sheared currents [PDF]
, 2010 This paper presents a general theoretical reduced-order model capable of evaluating the multi-mode nonlinear dynamics of marine risers subject to uniform and sheared currents.
O'Brien, Patrick +2 more
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Advances in Mathematical Physics, 2014 We study existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions. A variety of fixed point theorems are used, such as Banach’
Jessada Tariboon +2 more
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Advances in Difference Equations, 2020 In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary conditions.
Athasit Wongcharoen +2 more
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Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
Discrete Dynamics in Nature and Society, 2015 Impulsive multiorders fractional differential equations are studied. Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space ...
Weera Yukunthorn +2 more
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AIMS Mathematics, 2023 In the present paper, we establish the existence criteria for solutions of single valued and multivalued boundary value problems involving a $ \overline{\psi}_{*} $-Hilfer fractional proportional derivative operator, subject to nonlocal integro ...
Sotiris K. Ntouyas +2 more
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Abstract and Applied Analysis, 2014 We study a class of fractional q-integrodifference equations with nonlocal fractional q-integral boundary conditions which have different quantum numbers.
Suphawat Asawasamrit +2 more
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Mathematical Modelling and Analysis, 2017 We investigate a new kind of nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with integral boundary conditions involving Erdelyi-Kober and generalized Riemann-Liouville fractional integrals.
Bashir Ahmad +3 more
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