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Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]

Sci Rep
Hussein HH, Alexan W, Kandil SA.
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Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]

Sci Rep
Mobayen S, Ghaderi M, Shabibi M, Parvaneh Masiha H, Rezapour S.   +4 more
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Existence and controllability analysis of multi-term fractional coupled systems with generalized [Formula: see text]-Caputo-Fabrizio operators. [PDF]

Sci Rep
Saad KM, Abdo MS, Hamanah WM.
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Analysis of variable-order fractional enzyme kinetics model with time delay. [PDF]

Sci Rep
Agilan K, Naveen S, Suganya S, Parthiban V.   +3 more
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Formation of advanced soliton dynamics through the M-fractional regularized long-wave equation. [PDF]

Sci Rep
Hossain MM, Roshid HO, Ullah MS, Sheikh MAN.   +3 more
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On a Caputo-type fractional derivative

Advances in Pure and Applied Mathematics, 2019
Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives ...
Edmundo Capelas de Oliveira
exaly   +3 more sources

Fractional variational problems with the Riesz–Caputo derivative

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ricardo Almeida
exaly   +4 more sources

A Fast Algorithm for the Caputo Fractional Derivative

East Asian Journal on Applied Mathematics, 2018
Summary: A fast algorithm with almost optimal memory for the computation of Caputo's fractional derivative is developed. It is based on a nonuniform splitting of the time interval \([0, t_n]\) and a polynomial approximation of the kernel function \((1 - \tau)^{-\alpha}\).
Wang, Kun, Huang, Jizu
openaire   +1 more source

Automatic initialization of the Caputo fractional derivative

IEEE Conference on Decision and Control and European Control Conference, 2011
Initialization of Riemann-Liouville and Caputo fractional derivatives remains an open research topic. These fractional derivatives are fundamentally related to fractional integration operators, so their initial conditions are the initial state vector of the associated fractional integrators.
Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup   +2 more
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Approximations of fractional integrals and Caputo fractional derivatives

Applied Mathematics and Computation, 2006
In a series of recent papers [see \textit{K. Diethelm, A. D. Freed} and \textit{N. J. Ford}, Numer. Algorithms 36, No. 1, 31--52 (2004; Zbl 1055.65098)], and the references cited therein], the reviewer and his collaborators have proposed and analysed a numerical scheme for the approximation of \(J^\alpha\), the Riemann-Liouville fractional integral of ...
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