Results 21 to 30 of about 1,372 (141)
Visco-elastic behavior through fractional calculus: an easier method for best fitting experimental results [PDF]
, 2011 In capturing visco-elastic behavior, experimental tests play a fundamental rule, since they allow to build up theoretical constitutive laws very useful for simulating their own behavior.
DI PAOLA, Mario +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We study a boundary value problem of fractional integrodifferential equations involving Caputo's derivative of order α ∈ (n-1,n) in a Banach space. Existence and uniqueness results for the problem are established by means of the Hölder's inequality ...
Karthikeyan K., Ahmad Bashir
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Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
Universal Journal of Mathematics and Applications, 2020 In this article, we extend the concept of the Aboodh transform to the solution of partial differential equations of fractional order using Caputo's fractional derivative.
Kacem Belghaba +1 more
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On the Stochastic Response of a Fractionally-damped Duffing Oscillator [PDF]
, 2012 A numerical method is presented to compute the response of a viscoelastic Duffing oscillator with fractional derivative damping, subjected to a stochastic input. The key idea involves an appropriate discretization of the fractional derivative, based on
Failla,G, PIRROTTA, Antonina
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we study a kind of higher-order nonlinear fractional differential equation with integral boundary condition. The fractional differential operator here is the Caputo's fractional derivative.
Aijun Yang, Helin Wang
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Mathematics, 2021 The fractional generalization of the Ambartsumian delay equation with Caputo’s fractional derivative is considered. The Ambartsumian delay equation is very difficult to be solved neither in the case of ordinary derivatives nor in the case of fractional ...
Weam Alharbi, Snezhana Hristova
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Two equivalent Stefan's problems for the Time Fractional Diffusion Equation [PDF]
, 2013 Two Stefan's problems for the diffusion fractional equation are solved, where the fractional derivative of order $ \al \in (0,1) $ is taken in the Caputo's sense.
Marcus, Eduardo A. Santillan +1 more
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On the Zitterbewegung Transient Regime in a Coarse-Grained Space-Time [PDF]
, 2015 In the present contribution, by studying a fractional version of Dirac's equation for the electron, we show that the phenomenon of Zitterbewegung in a coarse-grained medium exhibits a transient oscillatory behavior, rather than a purely oscillatory ...
Helayël-Neto, José Abdalla +1 more
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Solvability of Some Fractional Boundary Value Problems with a Convection Term
Discrete Dynamics in Nature and Society, 2019 This paper is devoted to the research of some Caputo’s fractional derivative boundary value problems with a convection term. By the use of some fixed-point theorems and the properties of Green function, the existence results of at least one or triple ...
Yongfang Wei, Zhanbing Bai
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Fractal and Fractional, 2022 This paper establishes the upper bounds for the second and third coefficients of holomorphic and bi-univalent functions in a family which involves Bazilevic functions and μ-pseudo-starlike functions under a new operator, joining the neutrosophic Poisson ...
S. Santhiya, K. Thilagavathi
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