Separation and stability of solutions to nonlinear systems involving Caputo-Fabrizio derivatives
From MaRDI portal
Publication:2058232
DOI10.1186/s13662-020-02632-xzbMath1482.34041OpenAlexW3031415002MaRDI QIDQ2058232
Wenyong Zhong, Lanfang Wang, Thabet Abdeljawad
Publication date: 7 December 2021
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02632-x
stabilitynonlinear systemsCaputo-Fabrizio derivativesseparation of solutionsconvex Lyapunov functions
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two fractional derivative inclusion problems via integral boundary condition
- Variational Lyapunov method for fractional differential equations
- On conformable fractional calculus
- Stability with initial time difference of Caputo fractional differential equations by Lyapunov functions
- The monotonic property and stability of solutions of fractional differential equations
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Stability theory by Liapunov's direct method
- Modeling diffusive transport with a fractional derivative without singular kernel
- A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations
- A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM)
- A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- On the new properties of Caputo-Fabrizio operator and its application in deriving shifted Legendre operational matrix
- On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations
- On the notion of fractional derivative and applications to the hysteresis phenomena
- Generation of nonlocal fractional dynamical systems by fractional differential equations
- A generalized Lyapunov-type inequality in the frame of conformable derivatives
- Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials
- On the existence of solutions of a three steps crisis integro-differential equation
- The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1\) and the existence of solutions for two higher-order series-type differential equations]
- Basic theory of initial value problems of conformable fractional differential equations
- New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
- Fundamental solutions to advection-diffusion equation with time-fractional Caputo-Fabrizio derivative
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- On high order fractional integro-differential equations including the Caputo-Fabrizio derivative
- Positive solutions of conformable fractional differential equations with integral boundary conditions
- A new exploration on existence of fractional neutral integro-differential equations in the concept of Atangana-Baleanu derivative
- On the new fractional hybrid boundary value problems with three-point integral hybrid conditions
- On the existence of solutions for a pointwise defined multi-singular integro-differential equation with integral boundary condition
- Stability analysis for fractional order advection-reaction diffusion system
- New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
- A new definition of fractional derivative
- Lyapunov functions for fractional order systems
- Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales
- Fractional derivatives of convex Lyapunov functions and control problems in fractional order systems
- Wave equation in fractional Zener-type viscoelastic media involving Caputo-Fabrizio fractional derivatives
- Volterra integral equations and fractional calculus: do neighboring solutions intersect?
- Two-time scale subordination in physical processes with long-term memory
- On coupled systems of time-fractional differential problems by using a new fractional derivative
- On a three step crisis integro-differential equation
- Some existence results on nonlinear fractional differential equations
- Application of the Caputo‐Fabrizio and Atangana‐Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect
- Existence of solution for a fractional‐order Lotka‐Volterra reaction‐diffusion model with Mittag‐Leffler kernel
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Separation and stability of solutions to nonlinear systems involving Caputo-Fabrizio derivatives