Results 31 to 40 of about 1,550,178 (378)
Fractional Coins and Fractional Derivatives [PDF]
Abstract and Applied Analysis, 2013 This paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. Based on the new conceptual perspective, some experiments are performed shading new light into possible ...
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Calculus of Variations and Partial Differential Equations, 2013 We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.
Lindgren, Erik, Lindqvist, Peter
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On The Solution of Certain Fractional Integral Equations [PDF]
Kirkuk Journal of Science, 2006 In this paper we introduce the linear operator of fractional integral equation of the second kind (FIESK) in the framework of the Riemann-Liouville fractional calculus.
Suha N. Al-Rawi
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A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
, 2018 We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
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A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String [PDF]
, 2010 We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. Main results provide fractional versions of the
Almeida, Ricardo +2 more
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Fractal and Fractional, 2023 Chaos-based image encryption has become a prominent area of research in recent years. In comparison to ordinary chaotic systems, fractional-order chaotic systems tend to have a greater number of control parameters and more complex dynamical ...
Wei Feng +7 more
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Pinning control of fractional-order weighted complex networks [PDF]
, 2009 In this paper, we consider the pinning control problem of fractional-order weighted complex dynamical networks. The well-studied integer-order complex networks are the special cases of the fractional-order ones. The network model considered can represent
Jian-an Fang +5 more
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Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative
Fractal and Fractional, 2023 In this study, we perform a dynamical analysis of a generalized tumor model using the Caputo fractional-order derivative. Tumor growth models are widely used in biomedical research to understand the dynamics of tumor development and to evaluate potential
Ausif Padder +6 more
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, 2017 Protein function is generally dependent on its subcellular localisation. In Gram-negative bacteria such as Escherichia coli, a protein can be targeted to five different compartments: the cytoplasm, the inner membrane, the periplasm, the outer membrane and the extracellular medium.
Petiti, Melissa +2 more
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Fractal and FractionalThis paper focuses on the application of fractional calculus techniques in the identification and control of multivariable (multiple input—multiple output) systems (MIMO).
Alexandre Marques de Almeida +4 more
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