Caputo and related fractional derivatives in singular systems
From MaRDI portal
Publication:2335684
DOI10.1016/j.amc.2018.05.005zbMath1427.34007OpenAlexW2809568915WikidataQ129633968 ScholiaQ129633968MaRDI QIDQ2335684
Dumitru Baleanu, Ioannis K. Dassios
Publication date: 15 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10197/10589
Linear systems in control theory (93C05) Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Fractional ordinary differential equations (34A08)
Related Items
Spline collocation methods for systems of fuzzy fractional differential equations ⋮ Stability analysis of fractional-order linear neutral delay differential-algebraic system described by the Caputo-Fabrizio derivative ⋮ A class of impulsive vibration equation with fractional derivatives ⋮ New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators ⋮ Singular over-determined systems of linear differential equations ⋮ Unnamed Item ⋮ A general fractional pollution model for lakes ⋮ Quasilinearization technique for solving nonlinear Riemann-Liouville fractional-order problems ⋮ Generalized fractional controller for singular systems of differential equations ⋮ Oscillatory and asymptotic properties of higher-order quasilinear neutral differential equations ⋮ Finite-time passivity for Atangana-Baleanu-Caputo fractional-order systems with nonlinear perturbations ⋮ A finite difference method for solving unsteady fractional Oldroyd-B viscoelastic flow based on Caputo derivative ⋮ Recursive identification of errors-in-variables systems based on the correlation analysis ⋮ Fractional‐order dynamical model for electricity markets ⋮ Robust stability criterion for perturbed singular systems of linearized differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ New results on robust finite-time stability of singular large-scale complex systems with interconnected delays ⋮ Generalized fractional diffusion equation with arbitrary time varying diffusivity ⋮ The Möbius transform effect in singular systems of differential equations ⋮ Type-2 fuzzy consensus control of nonlinear multi-agent systems: an LMI approach ⋮ Using Fractional Calculus in an Attempt at Modeling a High Frequency AC Exciter ⋮ Multi-rate sampled-data composite control of linear singularly perturbed systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cesàro sums and algebra homomorphisms of bounded operators
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Robust stability analysis of fractional-order uncertain singular nonlinear system with external disturbance
- Optimal solutions for non-consistent singular linear systems of fractional nabla difference equations
- On systems of linear fractional differential equations with constant coefficients
- Caputo type fractional difference operator and its application on discrete time scales
- On a system of fractional finite difference inclusions
- Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem
- Lyapunov functions for Riemann-Liouville-like fractional difference equations
- A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations
- The role of fractional calculus in modeling biological phenomena: a review
- On a singular system of fractional nabla difference equations with boundary conditions
- Duality of singular linear systems of fractional nabla difference equations
- On non-homogeneous singular systems of fractional nabla difference equations
- Stability and robustness of singular systems of fractional nabla difference equations
- On the existence of solution for a \(k\)-dimensional system of three points nabla fractional finite difference equations
- New Trends in Nanotechnology and Fractional Calculus Applications
- Geometric relation between two different types of initial conditions of singular systems of fractional nabla difference equations
- Lebesgue regularity for differential difference equations with fractional damping
- Small-Signal Stability Analysis for Non-Index 1 Hessenberg Form Systems of Delay Differential-Algebraic Equations
- A study of ∇-discrete fractional calculus operator on the radial Schrödinger equation for some physical potentials
- The Poisson distribution, abstract fractional difference equations, and stability
This page was built for publication: Caputo and related fractional derivatives in singular systems
