Results 21 to 30 of about 12,553 (141)
Generalized Fractional Nonlinear Birth Processes [PDF]
, 2015 We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa +2 more
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Non-asymptotic fractional order differentiators via an algebraic parametric method [PDF]
, 2012 Recently, Mboup, Join and Fliess [27], [28] introduced non-asymptotic integer order differentiators by using an algebraic parametric estimation method [7], [8].
Gibaru, Olivier +2 more
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Analysis and Modeling of Fractional-Order Buck Converter Based on Riemann-Liouville Derivative
IEEE Access, 2019 In previous studies, researchers used the fractional definition of Caputo to study fractional-order power converter. However, it is found that the model based on Caputo fractional definition is inconsistent with the actual situation.
Zhihao Wei, Bo Zhang, Yanwei Jiang
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Advances in Mathematical Physics, 2013 We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
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Mathematical Model of Fractional Duffing Oscillator with Variable Memory
Mathematics, 2020 The article investigates a mathematical model of the Duffing oscillator with a variable fractional order derivative of the Riemann–Liouville type. The study of the model is carried out using a numerical scheme based on the approximation of the fractional
Valentine Kim, Roman Parovik
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Mathematics, 2021 In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
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A note on fractional Sumudu transform [PDF]
, 2010 We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional ...
Gupta, Vineeta G. +2 more
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Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem
Abstract and Applied Analysis, 2014 By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under ...
Wenzhe Xie, Jing Xiao, Zhiguo Luo
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Results in Physics, 2016 In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed.
Emrullah Yaşar +2 more
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Advances in Difference Equations, 2018 In this paper, we consider the space-fractional reaction–advection–diffusion equation with fractional diffusion and integer advection terms. By treating the first-order integer derivative as the composition of two Riemann–Liouville fractional derivative ...
Wenping Chen +3 more
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