Results 11 to 20 of about 201,097 (279)
A fractional spline collocation method for the fractional order logistic equation [PDF]
, 2017 We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
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Alexandria Engineering Journal, 2020 Our motive in this contribution is to find out the operational matrix of fractional derivative having non singular kernel namely Rabotnov fractional-exponential (RFE) kernel which is recently introduced and seeking numerical solution of non-linear ...
Sachin Kumar +3 more
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Case Studies in Thermal Engineering, 2021 This novel investigation suggests interesting solution techniques regarding the magnetized flow of Casson material through a porous space confined by a vertical surface.
M. Ijaz Khan +7 more
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Fractional Newton-Raphson Method Accelerated with Aitken's Method
, 2021 In the following document, we present a way to obtain the order of convergence of the Fractional Newton-Raphson (F N-R) method, which seems to have an order of convergence at least linearly for the case in which the order $\alpha$ of the derivative is ...
Torres-Hernandez, A. +3 more
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Journal of Function Spaces, 2020 In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
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Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 more
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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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Mathematical Modelling and Analysis, 2017 This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
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On the Fractional Derivative of Dirac Delta Function and Its Application
Advances in Mathematical Physics, 2020 The Dirac delta function and its integer-order derivative are widely used to solve integer-order differential/integral equation and integer-order system in related fields. On the other hand, the fractional-order system gets more and more attention.
Zaiyong Feng, Linghua Ye, Yi Zhang
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Journal of Function Spaces, 2021 In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative.
H. R. Marasi +2 more
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