Results 31 to 40 of about 51,039 (280)
Solving Some Fractional Ordinary Differential Equations by SBA Method
Journal of Mathematics Research, 2023 In this paper we have solved some temporal fractional functional equations in the sense of Caputo by a numerical method called SOME BLAISE ABBO(SBA). Unlike classical numerical methods, this method bypasses discretization. Despite its youth, it has already proven itself.
Germain KABORE +4 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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Solution of a fractional logistic ordinary differential equation
Applied Mathematics Letters, 2022 We solve the logistic differential equation of fractional order and non-singular kernel. The analytical solution is obtained This work has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain under Grant MTM2016-75140-P, cofinanced by the European Community fund FEDER, Spain, as well as by Instituto de Salud Carlos III, grant
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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 the Stochastic Response of a Fractionally-damped Duffing Oscillator [PDF]
, 2012 A numerical method is presented to compute the response of a viscoelastic Duffing oscillator with fractional derivative damping, subjected to a stochastic input. The key idea involves an appropriate discretization of the fractional derivative, based on
Failla,G, PIRROTTA, Antonina
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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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Analytic solutions of fractional differential equations by operational methods
, 2012 We describe a general operational method that can be used in the analysis of fractional initial and boundary value problems with additional analytic conditions. As an example, we derive analytic solutions of some fractional generalisation of differential
Garra, Roberto, Polito, Federico
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Further studies on ordinary differential equations involving the $ M $-fractional derivative
AIMS Mathematics, 2022 <abstract><p>In the current paper, the power series based on the $ M $-fractional derivative is formally introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for fractional-order differentiable functions in accordance with the $ M $-fractional derivative.
A. Khoshkenar +6 more
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IEEE Access, 2019 In the present research article, an efficient analytical technique is applied for travelling waves solutions of fractional partial differential equations.
Hassan Khan +4 more
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Sir epidemic and predator - prey models of fractional-order [PDF]
, 2018 Recently, many deterministic mathematical models such as ordinary differential equations have been extended to fractional models, which are transformed using fractional differential equations.
Abiodun Ezekiel, Owoyemi
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