Smoking dynamics with media awareness to control the prevalence of bad effect through fractional operator study. [PDF]
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Analytical solutions and dynamic behavior of conformable fractional reaction-diffusion systems. [PDF]
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Fractional-order modelling and analytical solutions for MHD casson fluid flow in an inclined channel with heat and mass transfer. [PDF]
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Epidemic dynamics prediction using fractional SIRD and deep learning. [PDF]
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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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Fundamental results on weighted Caputo–Fabrizio fractional derivative
Chaos, Solitons & Fractals, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Refai, Mohammed, Jarrah, Abdulla M.
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New discretization of Caputo–Fabrizio derivative
Computational and Applied Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional Optimal Control Within Caputo’s Derivative
Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 2011A general formulation and solution of fractional optimal control problems (FOCPs) in terms of Caputo fractional derivatives (CFDs) of arbitrary order have been considered in this paper. The performance index (PI) of a FOCP is considered as a function of both the state and control.
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Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives
Annals of the University of Craiova - Mathematics and Computer Science Series, 2021This research focus on the determination of the numerical solution for the mathematical model of Fokker-Planck equations utilizing a new method, in which Sumudu transformation and homotopy analysis method (SHAM) are used together. By SHAM analytical series solution of any mathematical model including fractional derivative can be obtained.
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