Results 51 to 60 of about 3,521 (216)
Oscillation for a Class of Fractional Differential Equation
Discrete Dynamics in Nature and Society, 2013 We consider the oscillation for a class of fractional differential equation [r(t)g(D-αy)(t)]'-p(t)f∫t∞(s-t)-αy(s)ds=0, for t>0, where ...
Zhenlai Han +3 more
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A Note on Fractional KdV Hierarchies
, 1996 We introduce a hierarchy of mutually commuting dynamical systems on a finite number of Laurent series. This hierarchy can be seen as a prolongation of the KP hierarchy, or a ``reduction'' in which the space coordinate is identified with an arbitrarily ...
Bogoyavlensky O. I. +5 more
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A New Approach for Solving Fractional Partial Differential Equations
Journal of Applied Mathematics, 2013 We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and ...
Fanwei Meng
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Multiscale differential Riccati equations for linear quadratic regulator problems [PDF]
, 2018 We consider approximations to the solutions of differential Riccati equations in the context of linear quadratic regulator problems, where the state equation is governed by a multiscale operator.
Målqvist, Axel +2 more
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Duality and singular value functions of the nonlinear normalized right and left coprime factorizations [PDF]
, 2005 This paper considers the nonlinear left coprime factorization (NLCF) of a nonlinear system. In order to study the balanced realization of such NLCF first a dual system notion is introduced.
Scherpen, J. M. A.,
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Graphite nanofluids were stabilized using a mixed SDS/Tween 80 surfactant system. The optimized formulation exhibited enhanced colloidal stability, red‐shifted UV–Vis absorption, and improved photothermal conversion under solar irradiation. Achieving stable dispersion of graphite flakes (GFs) in aqueous media remains a critical challenge in developing ...
Ahmad Chehade +3 more
wiley +1 more source
Integrability of Lie systems through Riccati equations
, 2011 Integrability conditions for Lie systems are related to reduction or transformation processes. We here analyse a geometric method to construct integrability conditions for Riccati equations following these approaches.
Allen J. L. +37 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Some Aspects of Numerical Analysis for a Model Nonlinear Fractional Variable Order Equation
Mathematical and Computational Applications, 2021 The article proposes a nonlocal explicit finite-difference scheme for the numerical solution of a nonlinear, ordinary differential equation with a derivative of a fractional variable order of the Gerasimov–Caputo type.
Roman Parovik, Dmitriy Tverdyi
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source