Feedback design to measure the effect of therapies in controlling cancer using the fractional approach. [PDF]
Nisar KS +3 more
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Numerical study on fractional order nonlinear SIR-SI model for dengue fever epidemics. [PDF]
Verma L, Meher R, Nikan O, Al-Saedi AA.
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Comparative analysis of fractional thermoelastic vibrations of a nonlocal nanobeam exposed to travelling and static thermal loads. [PDF]
Tiwari R, Gupta GK, Shivay ON.
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A behavioral game-theoretic model for vaccination with fractional-order imitation and aspiration dynamics. [PDF]
Ullah MS, Kabir KMA, Wang J.
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Poliomyelitis dynamics with fractional order derivatives and deep neural networks. [PDF]
Al-Quran A +3 more
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Dynamical study of optical soliton solutions of time-fractional perturbed model in ultrafast optical fibers. [PDF]
Ouahid L +7 more
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Fundamental results on weighted Caputo–Fabrizio fractional derivative
Chaos, Solitons & Fractals, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximations of fractional integrals and Caputo fractional derivatives
Applied Mathematics and Computation, 2006In 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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Fractional viscoelastic models with Caputo generalized fractional derivative
Mathematical Methods in the Applied Sciences, 2021This 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.
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On a Caputo-type fractional derivative
Advances in Pure and Applied Mathematics, 2019Abstract 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 ...
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