A novel method to solve variable-order fractional delay differential equations based in Lagrange interpolations
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Publication:2213845
DOI10.1016/j.chaos.2019.06.009zbMath1448.65060OpenAlexW2949576764WikidataQ127645762 ScholiaQ127645762MaRDI QIDQ2213845
C. J. Zúñiga-Aguilar, José Francisco Gómez-Aguilar, Ricardo Fabricio Escobar-Jiménez, Hector Manuel Romero Ugalde
Publication date: 3 December 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2019.06.009
Lagrange interpolationfractional calculusfractional delay differential equationsvariable-order fractional operatorsMittag-Leffler kernel
Qualitative investigation and simulation of models involving functional-differential equations (34K60) Functional-differential equations with fractional derivatives (34K37) Numerical methods for functional-differential equations (65L03) Climate science and climate modeling (86A08)
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A low-cost computational method for solving nonlinear fractional delay differential equations ⋮ A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials ⋮ Robust spectral treatment for time-fractional delay partial differential equations ⋮ Analytic simulation of the synergy of spatial-temporal memory indices with proportional time delay ⋮ Collocation method for solving two-dimensional nonlinear Volterra-Fredholm integral equations with convergence analysis ⋮ A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay ⋮ Hopf bifurcation, chaos control and synchronization of a chaotic fractional-order system with chaos entanglement function ⋮ Model and criteria on the global finite-time synchronization of the chaotic gyrostat systems
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