A hybrid computational framework for fractional cancer diffusion models in uncertain settings. [PDF]
Qayyum M +4 more
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A qualitative study on the stability and existence of solutions in a fractional-order water pollution model via the predictor-corrector approach. [PDF]
Iqbal N +3 more
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Effects of quarantine and vaccination on the transmission of Lumpy skin disease: A fractional approach. [PDF]
Almuallem NA, Chauhan RP.
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Comprehensive and deep learning classification for analyses of the biological complexity of growth and biofilms of Cobetia marina under different temperature growths. [PDF]
Dinamarca MA +6 more
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Exploring complex dynamics in nonlinear Riemann wave models using fractional calculus-based expansion. [PDF]
Mumtaz A, Masood K, Shakeel M, Shah NA.
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Controllability of fractional dynamical systems with ψ-Caputo fractional derivative
Physica Scripta, 2023The idea behind this study is to investigate the controllability of dynamical systems in terms of the ψ-Caputo fractional derivative. The Grammian matrix is used to get at necessary and sufficient controllability requirements for linear systems, which ...
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In this paper, the Atangana–Baleanu Caputo (ABC) sense is applied on the unsteady MHD bioconvection nanofluid boundary layer flow due to gyrotactic microorganisms.
A. Arafa, Z. Z. Rashed, Sameh E. Ahmed
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A Fast Algorithm for the Caputo Fractional Derivative
East Asian Journal on Applied Mathematics, 2018Summary: 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
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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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A new fractional integral associated with the Caputo–Fabrizio fractional derivative
Rendiconti del Circolo Matematico di Palermo Series 2, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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