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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
The Scientific World Journal, 2014 We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Özkan Güner, Adem C. Cevikel
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Transform of Riccati equation of constant coefficients through fractional procedure [PDF]
, 2003 We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation with the free term expressed as ...
A L Madue o +8 more
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Fractional Differential Equations [PDF]
, 2019 Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different ...
Juan J. Nieto, Rosana Rodríguez-López
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A Caputo–Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment
Advances in Differential Equations, 2019 In recent years, many new definitions of fractional derivatives have been proposed and used to develop mathematical models for a wide variety of real-world systems containing memory, history, or nonlocal effects.
Elvin J. Moore +2 more
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Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method
Advances in Mathematical Physics, 2021 In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in
Suleyman Cetinkaya +2 more
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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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Universal Journal of Mathematics and Applications, 2019 In this paper, the existence and uniqueness problem of the initial and boundary value problems of the linear fractional Caputo-Fabrizio differential equation of order $\sigma \in (1,2]$ have been investigated.
Şuayip Toprakseven
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Alexandria Engineering Journal, 2023 In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla +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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Advances in Differential Equations, 2019 In this paper, we study the uniqueness of solutions for a fractional differential equation with dependence on the first order derivative. By means of Banach’s contraction mapping principle and a weighted norm in product space, sufficient conditions for ...
Zhenzhen Yue, Y. Zou
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