Results 121 to 130 of about 778 (152)
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Chaos, Solitons & Fractals, 2021
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M.H. Heydari, M. Razzaghi
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M.H. Heydari, M. Razzaghi
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Communications in Nonlinear Science and Numerical Simulation, 2023
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Wang, Fei, Zhang, Chuan, Li, Ning
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Wang, Fei, Zhang, Chuan, Li, Ning
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IEEE Transactions on Cybernetics, 2022
It is well known that the conventional fractional-order neural networks (FONNs) cannot generate nonconstant periodic oscillation. For this point, this article discusses a class of impulsive FONNs with piecewise Caputo derivatives (IPFONNs). By using the differential inclusion theory, the existence of the Filippov solutions for a discontinuous IPFONNs ...
Tianwei Zhang +2 more
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It is well known that the conventional fractional-order neural networks (FONNs) cannot generate nonconstant periodic oscillation. For this point, this article discusses a class of impulsive FONNs with piecewise Caputo derivatives (IPFONNs). By using the differential inclusion theory, the existence of the Filippov solutions for a discontinuous IPFONNs ...
Tianwei Zhang +2 more
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Mathematical Methods in the Applied Sciences
ABSTRACTThis paper introduces a novel numerical algorithm for solving pantograph differential equations and Volterra functional integro‐differential equations including the piecewise fractional derivative. The proposed algorithm combines the piecewise Gegenbauer functions, the Ritz method, and operational matrices.
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ABSTRACTThis paper introduces a novel numerical algorithm for solving pantograph differential equations and Volterra functional integro‐differential equations including the piecewise fractional derivative. The proposed algorithm combines the piecewise Gegenbauer functions, the Ritz method, and operational matrices.
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Research in the Mathematical Sciences
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Qiang Li, Weili Zhou
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Qiang Li, Weili Zhou
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A MATHEMATICAL MODEL FOR NIPAH VIRUS DISEASE BY USING PIECEWISE FRACTIONAL ORDER CAPUTO DERIVATIVE
FractalsIn the Caputo sense, the goal of this paper is to develop a thorough analysis for the Nipah virus sickness under piecewise equations with fractional order derivative. Here, we take into account a SIRD-type model with classes for susceptible, infected, recovered, and dead individuals.
KAMAL SHAH +4 more
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Cybernetics and Systems Analysis
A generalized fractional-differential analog with respect to the known models of the dynamics of the propagation of computer viruses, built using Caputo derivatives of piecewise-constant order, is considered. A combined technique for obtaining a numerical-analytical solution of the corresponding Cauchy problem for a nonlinear system of fractional ...
V.M. Bulavatsky, V.O. Bohaienko
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A generalized fractional-differential analog with respect to the known models of the dynamics of the propagation of computer viruses, built using Caputo derivatives of piecewise-constant order, is considered. A combined technique for obtaining a numerical-analytical solution of the corresponding Cauchy problem for a nonlinear system of fractional ...
V.M. Bulavatsky, V.O. Bohaienko
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