Results 141 to 150 of about 12,535 (181)

Dynamical study of optical soliton solutions of time-fractional perturbed model in ultrafast optical fibers. [PDF]

open access: yesSci Rep
Ouahid L   +7 more
europepmc   +1 more source

Fundamental results on weighted Caputo–Fabrizio fractional derivative

Chaos, Solitons & Fractals, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Refai, Mohammed, Jarrah, Abdulla M.
openaire   +3 more sources

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 ...
Zaid M Odibat
openaire   +3 more sources

Fractional viscoelastic models with Caputo generalized fractional derivative

Mathematical Methods in the Applied Sciences, 2021
This article focuses on fractional Maxwell model of viscoelastic materials, which are a generalization of classic Maxwell model to noninteger order derivatives. We present and discuss formulations of the fractional order viscoelastic model and give physical interpretations of the model by using viscoelastic functions.
Nikita Bhangale   +2 more
openaire   +2 more sources

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 ...
Oliveira, Daniela S.   +1 more
openaire   +2 more sources

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