Results 1 to 10 of about 131,226 (228)
Mathematics, 2023 In this innovative study, we investigate the properties of existence and uniqueness of solutions to initial value problem of Caputo fractional differential inclusion.
Jimin Yu, Zeming Zhao, Yabin Shao
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IEEE Access, 2020 This paper reports a general model that describes the supply and demand of electricity in a national market based on the system dynamics (SD) approach. From the resulting SD model, it derives piecewise smooth (non-smooth) differential equations from the ...
Johnny Valencia-Calvo +4 more
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Mean field limit of non-smooth systems and differential inclusions [PDF]
ACM SIGMETRICS Performance Evaluation Review, 2010 In this paper, we study deterministic limits of Markov processes made of several interacting objects. While most classical results assume that the limiting dynamics has Lipschitz properties, we show that these conditions are not necessary to prove convergence to a deterministic system.
Gast, Nicolas, Gaujal, Bruno
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Mathematics, 2021 The paper deals with a two-person zero-sum differential game for a dynamical system described by differential equations with the Caputo fractional derivatives of an order α∈(0,1) and a Bolza-type cost functional.
Mikhail I. Gomoyunov
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Annals of Functional Analysis, 2023 The authors consider an integro-differential system with a potential whose infimum is strictly positive and satisfying a coercivity property introduced by \textit{T. Bartsch} et al. [Commun. Contemp. Math. 3, No. 4, 549--569 (2001; Zbl 1076.35037)]. The coupling function is locally Lipschitz and verifies conditions introduced by \textit{L.
Juan Mayorga-Zambrano +1 more
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Nonlinear Engineering, 2021 Many important natural phenomena of wave propagations are modeled by Eikonal equations and a variety of new methods are needed to solve them. The differential quadrature method (DQM) is an effective numerical method for solving the system of differential
Meher Mehrollah, Rostamy Davood
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A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains [PDF]
Nonlinear Analysis: Real World Applications, 2015 This paper focuses on rate-independent damage in elastic bodies. Since the driving energy is nonconvex, solutions may have jumps as a function of time, and in this situation it is known that the classical concept of energetic solutions for rate-independent systems may fail to accurately describe the behavior of the system at jumps. Therefore, we resort
Knees, Dorothee +2 more
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Boundary Value Problems, 2023 In this paper, a nonclassical sinc collocation method is constructed for the numerical solution of systems of second-order integro-differential equations of the Volterra and Fredholm types.
Mohammad Ghasemi +2 more
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Известия Иркутского государственного университета: Серия "Математика", 2023 This paper introduces a new numerical technique based on the implicit spectral collocation method and the fractional Chelyshkov basis functions for solving the fractional Fredholm integro-differential equations. The framework of the proposed method is to
Y. Talaei +2 more
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Incompressible flows: Relative scale invariance and isobaric polynomial fields
AIP Advances, 2022 This article examines the Bouton–Lie group invariants of the Navier–Stokes equation (NSE) for incompressible fluids. The theory is applied to the general scaling transformation admitted by the NSE: it adds new partial differential equations to the Navier–
J. Polihronov
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