Results 31 to 40 of about 5,172 (299)
Turkish Journal of Mathematics, 2022 Summary: In this paper, we use the fractional Laplace transform to solve a class of second-order ordinary differential equations (ODEs), as well as some conformable fractional differential equations (CFDEs), including the Laguerre conformable fractional differential equation.
Molaei, Mohammad +3 more
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Explicit Solutions of Singular Differential Equation by Means of Fractional Calculus Operators
Abstract and Applied Analysis, 2013 Recently, several authors demonstrated the usefulness of fractional calculus operators in the derivation of particular solutions of a considerably large number of linear ordinary and partial differential equations of the second and higher orders.
Resat Yilmazer, Okkes Ozturk
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Semilinear ordinary differential equation coupled with distributed order fractional differential equation [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 System of semilinear ordinary differential equation and fractional differential equation of distributed order is investigated and solved in a mild and classical sense. Such a system arises as a distributed derivative model of viscoelasticity and in the system identfica- tion theory.
Atanacković, Teodor +2 more
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A fractional equation with left-sided fractional Bessel derivatives of Gerasimov-Caputo type [PDF]
, 2019 In this article we propose and study a method to solve ordinary differential equations with left-sided fractional Bessel derivatives on semi-axes of Gerasimov-Caputo type.
Elina Shishkina +3 more
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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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On Λ-Fractional Differential Equations
, 2022 Λ-fractional differential equations are discussed since they exhibit non-locality and accuracy. Fractional derivatives form fractional differential equations, considered as describing better various physical phenomena.
Konstantinos A. Lazopoulos
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Fractal and FractionalThis paper is devoted to the general theory of systems of linear time-fractional differential-operator equations. The representation formulas for solutions of systems of ordinary differential equations with single (commensurate) fractional order is known
Sabir Umarov
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A BLOCK-BY-BLOCK METHOD FOR THE IMPULSIVE FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & Computation, 2020 Summary: In this paper, a block-by-block numerical method is constructed for the impulsive fractional ordinary differential equations (IFODEs). Firstly, the stability and convergence analysis of the scheme are established. Secondly, the numerical solution which converges to the exact solution with order \(3+\gamma\) for \(0 < \gamma < 1\), where ...
Cao, Junying +2 more
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Continuous extensions of numerical methods for Stochastic Fractional Differential Equations
, 2021 We present a technique to provide continuous-time extension of numerical methods solving Stochastic Fractional Differential Equations (SFDEs). The basic idea we follow is closely related to the classic scenario of deterministic collocation methods for ...
Giordano Giuseppe +3 more
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High-Order Methods for Systems of Fractional Ordinary Differential Equations and Their Application to Time-Fractional Diffusion Equations [PDF]
Mathematics in Computer Science, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luís L. Ferrás +3 more
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