Results 11 to 20 of about 191,994 (333)
On matrix fractional differential equations [PDF]
Advances in Mechanical Engineering, 2017 The aim of this article is to study the matrix fractional differential equations and to find the exact solution for system of matrix fractional differential equations in terms of Riemann–Liouville using Laplace transform method and convolution product to
Adem Kılıçman, Wasan Ajeel Ahmood
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On the singular perturbations for fractional differential equation. [PDF]
ScientificWorldJournal, 2014 The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the Laplace transform operator to derive exact solution of singular perturbation fractional linear ...
Atangana A.
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On inference for fractional differential equations [PDF]
Statistical Inference for Stochastic Processes, 2013 Based on Malliavin calculus tools and approximation results, we show how to compute a maximum likelihood type estimator for a rather general differential equation driven by a fractional Brownian motion with Hurst parameter H>1/2. Rates of convergence for the approximation task are provided, and numerical experiments show that our procedure leads to ...
Chronopoulou, Alexandra, Tindel, Samy
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Fractional Differential Equations [PDF]
International Journal of Differential Equations, 2010 1 School of Mathematical Sciences, Queensland University of Technology, P.O. Box 2434, Brisbane, Qeensland 4001, Australia 2 Department of Statistics and Probability, Michigan State University, A416 Wells Hall, East Lansing, MI 48823, USA 3 Department of Mathematics, Mu'tah University, P.O.
Fawang Liu +5 more
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ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]
International Journal of Pure and Apllied Mathematics, 2016 In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order ? are presented graphically and table.
Hanalioğlu (Khaniyev), Tahir +1 more
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Analysis of Fractional Differential Equations
Journal of Mathematical Analysis and Applications, 2002 The authors discuss the existence, uniqueness and structural stability of solutions to nonlinear differential equations of fractional order. They take the differential operators in the Riemann-Liouville sense and the initial conditions are specified according to Caputo's suggestion, in order to allow for an interpretation in a physically meaningful way.
Diethelm, Kai, Ford, Neville J.
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Fractional Differential Equations and Expansions in Fractional Powers
Symmetry, 2023 We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate solutions are derived by constructing recursions for the relevant expansion coefficients.
Diego Caratelli +2 more
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Fractional and Time-Scales Differential Equations [PDF]
Abstract and Applied Analysis, 2014 Resumo indisponível.
Baleanu, Dumitru +3 more
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Existence of fractional differential equations
Journal of Mathematical Analysis and Applications, 2005 The authors obtain a sufficient condition for the existence of a solution to a fractional order differential equation. They claim that their result improves previously known results.
Cheng Yu, Guozhu Gao
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Journal of Ocean Engineering and Science, 2019 This paper reflects the execution of a reliable technique which we proposed as a new method called the double auxiliary equations method for constructing new traveling wave solutions of nonlinear fractional differential equation.
L.A. Alhakim, A.A. Moussa
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