Results 51 to 60 of about 261,053 (323)
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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Solutions of Certain Fractional Partial Differential Equations
WSEAS TRANSACTIONS ON MATHEMATICS, 2021 In this paper we find certain solutions of some fractional partial differential equations. Tensor product of Banach spaces is used where separation of variables does not work.
Alsauodi Maha +2 more
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A modified exp-function method for fractional partial differential equations
Thermal Science, 2021 This paper proposes a novel exponential rational function method, a modification of the well-known exp-function method, to find exact solutions of the time fractional Cahn-Allen equation and the time fractional Phi-4 equation.
YiMin Tian, Jun Liu
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About Some Possible Implementations of the Fractional Calculus
Mathematics, 2020 We present a partial panoramic view of possible contexts and applications of the fractional calculus. In this context, we show some different applications of fractional calculus to different models in ordinary differential equation (ODE) and partial ...
María Pilar Velasco +5 more
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Fractional Fokker-Planck-Kolmogorov type Equations and their Associated Stochastic Differential Equations [PDF]
, 2011 MSC 2010: 26A33, 35R11, 35R60, 35Q84, 60H10 Dedicated to 80-th anniversary of Professor Rudolf GorenfloThere is a well-known relationship between the Itô stochastic differential equations (SDEs) and the associated partial differential equations called ...
Hahn, Marjorie, Umarov, Sabir
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An advanced meshless method for time fractional diffusion equation [PDF]
, 2011 Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modelling and simulation for fractional calculus are ...
Gu Y. T. +7 more
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, 2020 In this article, we consider the exact solutions of the Hunter-Saxton and Schrodinger equations defined by Atangana's comformable derivative using the general Kudryashov method. Firstly, Atangana's comformable fractional derivative and its properties are
Y. Gurefe
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Complex, 2020 The role of integer and noninteger order partial differential equations (PDE) is essential in applied sciences and engineering. Exact solutions of these equations are sometimes difficult to find.
Hijaz Ahmad +4 more
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Journal of Ocean Engineering and Science, 2020 In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations.
Muhannad A. Shallal +4 more
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AIMS Mathematics, 2023 In this study, the ψ-Haar wavelets operational matrix of integration is derived and used to solve linear ψ-fractional partial differential equations (ψ-FPDEs) with the fractional derivative defined in terms of the ψ-Caputo operator.
Amjid Ali +3 more
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