Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy Caputo, random and ABC fractional order derivative

DOI10.1016/j.chaos.2020.110232zbMath1495.92100OpenAlexW3081010421WikidataQ99629613 ScholiaQ99629613MaRDI QIDQ2123677

Mati ur Rahman, Muhammad Arfan, Kamal Shah, José Francisco Gómez-Aguilar

Publication date: 14 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110232

zbMATH Keywords

qualitative theoryfuzzy fractional dynamical systemmathematical model of COVID-19random fractional derivative

Mathematics Subject Classification ID

Epidemiology (92D30) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Fuzzy ordinary differential equations (34A07)

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Cites Work

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• Solving fuzzy fractional differential equations by fuzzy Laplace transforms
• Multiplicative Adams Bashforth-Moulton methods
• Solution of the epidemic model by homotopy perturbation method
• Variational iteration method for solving the epidemic model and the prey and predator prob\-lem
• Towards fuzzy differential calculus. III: Differentiation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence and uniqueness theorem for a solution of fuzzy Volterra integral equations
• Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
• Fractional operators with exponential kernels and a Lyapunov type inequality
• Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel
• A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
• The approximate Noether symmetries and approximate first integrals for the approximate Hamiltonian systems
• A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying
• Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system
• New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function
• Semi-analytical study of pine wilt disease model with convex rate under Caputo-Febrizio fractional order derivative
• The role of power decay, exponential decay and Mittag-Leffler function's waiting time distribution: application of cancer spread
• Mathematical analysis of dengue fever outbreak by novel fractional operators with field data
• Retracted: New numerical method for ordinary differential equations: Newton polynomial
• Solution of the epidemic model by Adomian decomposition method
• On a two-dimensional magnetohydrodynamic problem. I. Modelling and analysis
• Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative
• Solving fuzzy fractional differential equations using fuzzy Sumudu transform
• Fuzzy sets

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