Results 21 to 30 of about 1,407 (180)
Non-local fractional model of rate independent plasticity [PDF]
, 2013 In the paper the generalisation of classical rate independent plasticity using fractional calculus is presented. This new formulation is non-local due to properties of applied fractional differential operator during definition of kinematics.
Sumelka, Wojciech
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Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order
Abstract and Applied Analysis, 2012 We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. The existence results are obtained by means of the Avery-Peterson fixed point
Yang Liu, Zhang Weiguo
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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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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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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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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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Fractional Calculus for Continuum Mechanics - anisotropic non-locality
, 2015 In this paper the generalisation of previous author's formulation of fractional continuum mechanics to the case of anisotropic non-locality is presented. The considerations include the review of competitive formulations available in literature.
Sumelka, Wojciech
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Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]
, 2011 We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
AA Kilbas +29 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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