Stability and numerical analysis of a coupled system of piecewise Atangana-Baleanu fractional differential equations with delays
DOI10.1007/s12346-024-00965-6WikidataQ128175075 ScholiaQ128175075MaRDI QIDQ6152605
Mohammed A. Almalahi, Khaled A. Aldwoah, Thabet Abdeljawad, Kamal Shah
Publication date: 12 March 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
fixed point theorydelay differential equationsUlam-Hyers-Rassias stabilityUlam-Hyers stabilitycontraction-type inequalitiespiecewise Atangana-Baleanu type FDEs
Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Functional-differential equations with fractional derivatives (34K37) Perturbations of functional-differential equations (34K27) Numerical methods for functional-differential equations (65L03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Results for mild solution of fractional coupled hybrid boundary value problems
- Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
- On the impulsive delay hematopoiesis model with periodic coefficients
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical solution of fractional differential equations: a survey and a software tutorial
- A Caputo fractional derivative of a function with respect to another function
- Mathematical analysis of the Cauchy type dynamical system under piecewise equations with Caputo fractional derivative
- On the stochastic modeling of COVID-19 under the environmental white noise
- A fractional system of delay differential equation with nonsingular kernels in modeling hand-foot-mouth disease
- Some properties of implicit impulsive coupled system via \(\varphi \)-Hilfer fractional operator
- On approximate solutions for a fractional prey-predator model involving the Atangana-Baleanu derivative
- A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Stability analysis and numerical solutions of fractional order HIV/AIDS model
- Existence and stability of impulsive coupled system of fractional integrodifferential equations
- On existence of a globally attractive periodic solution of impulsive delay logarithmic population model
- Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators
- Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives
- Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution
- ON FRACTAL-FRACTIONAL WATERBORNE DISEASE MODEL: A STUDY ON THEORETICAL AND NUMERICAL ASPECTS OF SOLUTIONS VIA SIMULATIONS
- Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations
- A new model for investigating the transmission of infectious diseases in a prey‐predator system using a non‐singular fractional derivative
- Numerical investigations on <scp>COVID</scp>‐19 model through singular and non‐singular fractional operators
This page was built for publication: Stability and numerical analysis of a coupled system of piecewise Atangana-Baleanu fractional differential equations with delays