Results 31 to 40 of about 191,994 (333)
Fractional Differential Equations 2012 [PDF]
International Journal of Differential Equations, 2013 Journal of Differential Equations dédié aux équations différentielles fractionnaires (FDE). Ces dernières années, un nombre croissant d'articles rédigés par de nombreux auteurs de divers domaines de la science et de l'ingénierie traitent de systèmes dynamiques décrits par des équations aux dérivées partielles fractionnaires.
Fawang Liu +4 more
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AIMS Mathematics, 2020 In present paper, we introduced generalized iterative method to solve linear and nonlinear fractional differential equations with composite fractional derivative operator.
Krunal B. Kachhia +1 more
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Asymptotic behavior of solutions of linear multi-order fractional differential equation systems
, 2017 In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems.
Diethelm, Kai +2 more
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Maximum Principle for General Controlled Systems Driven by Fractional Brownian Motions [PDF]
, 2012 We obtain a maximum principle for stochastic control problem of general controlled stochastic differential systems driven by fractional Brownian motions (of Hurst parameter $H>1/2$). This maximum principle specifies a system of equations that the optimal
Han, Yuecai, Hu, Yaozhong, Song, Jian
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Nonlocal Fractional Differential Equations and Applications [PDF]
Complex Analysis and Operator Theory, 2020 Boundary value problems for nonlocal fractional elliptic equations with parameter in Banach spaces are studied. Uniform $L_p$-separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives.
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Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
De Gregorio, Alessandro
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Arab Journal of Basic and Applied Sciences, 2018 The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
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On the oscillation of fractional differential equations
Fractional Calculus and Applied Analysis, 2012 In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form $$D_a^q x + f_1 (t,x) = v(t) + f_2 (t,x),\mathop {\lim }\limits_{t \to a} J_a^{1 - q} x(t) = b_1 $$ , where Daq denotes the Riemann-Liouville differential
Grace, Said R. +3 more
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, 2018 In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
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Fractional Complex Transform for Fractional Differential Equations [PDF]
Mathematical and Computational Applications, 2010 Fractional complex transform is proposed to convert fractional differential equations into ordinary differential equations, so that all analytical methods devoted to advanced calculus can be easily applied to fractional calculus. Two examples are given.
Zheng-Biao Li, Ji-Huan He
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