Global existence and uniqueness of solution of Atangana-Baleanu Caputo fractional differential equation with nonlinear term and approximate solutions

DOI10.1155/2021/5675789zbMath1486.34027OpenAlexW3178628201WikidataQ115243674 ScholiaQ115243674MaRDI QIDQ2065031

Abdelaziz Ouhadan, E. H. El Kinani, Meryeme Hassouna

Publication date: 6 January 2022

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5675789

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional variational iteration method and its application
• Positive solutions of the fractional relaxation equation using lower and upper solutions
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• He's variational iteration method for solving fractional Riccati differential equation
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• Global existence theory and chaos control of fractional differential equations
• Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
• A fractional-order differential equation model of HIV infection of \(CD4^{+}\) T-cells
• Detailed error analysis for a fractional Adams method
• The existence of a positive solution for a nonlinear fractional differential equation
• Completely monotone generalized Mittag-Leffler functions
• The fractional-order SIS epidemic model with variable population size
• Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation
• On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
• On the solution of fractional order SIS epidemic model
• Volterra-type Lyapunov functions for fractional-order epidemic systems
• Lyapunov functions for fractional order systems
• On the Fractional Calculus Model of Viscoelastic Behavior
• On the stability of proliferation of kertinocytes in psoriatic skin fractional model
• Fractional differentiation matrices with applications
• Analysis of fractional differential equations