Trajectory controllability of nonlinear fractional Langevin systems
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Govindaraj Venkatesan
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Suresh Kumar Pitchaikkannu
Abstract
In this paper, we discuss the trajectory controllability of linear and nonlinear fractional Langevin dynamical systems represented by the Caputo fractional derivative by using the Mittag–Leffler function and Gronwall–Bellman inequality. For the nonlinear system, we assume Lipschitz-type conditions on the nonlinearity. Examples are given to illustrate the theoretical results.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- One-dimensional optimal system and similarity transformations for the 3 + 1 Kudryashov–Sinelshchikov equation
- Hopf bifurcations in a network of FitzHugh–Nagumo biological neurons
- Gravity modulation effect on weakly nonlinear thermal convection in a fluid layer bounded by rigid boundaries
- A new numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers’ equation
- Chebyshev spectral method for solving a class of local and nonlocal elliptic boundary value problems
- Adaptive extragradient methods for solving variational inequalities in real Hilbert spaces
- Elastic trend filtering
- A new approach to representations of homothetic motions in Lorentz space
- Numerical simulation of variable-order fractional differential equation of nonlinear Lane–Emden type appearing in astrophysics
- Stability analysis and numerical simulations of the fractional COVID-19 pandemic model
- Numerical solutions of the Bagley–Torvik equation by using generalized functions with fractional powers of Laguerre polynomials
- N-fold Darboux transformation and exact solutions for the nonlocal Fokas–Lenells equation on the vanishing and plane wave backgrounds
- Closed form soliton solutions to the space-time fractional foam drainage equation and coupled mKdV evolution equations
- Master-slave synchronization in the Duffing-van der Pol and Φ6 Duffing oscillators
- Singularity analysis and analytic solutions for the Benney–Gjevik equations
- Trajectory controllability of nonlinear fractional Langevin systems
- Similarity transformations for modified shallow water equations with density dependence on the average temperature
- Non-equidistant partition predictor–corrector method for fractional differential equations with exponential memory
- Dynamical analysis of fractional-order of IVGTT glucose–insulin interaction
- Dynamic response of Mathieu–Duffing oscillator with Caputo derivative
- Non-Newtonian fluid flow having fluid–particle interaction through a porous zone in a channel with permeable walls
- A class of computationally efficient Newton-like methods with frozen inverse operator for nonlinear systems
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- One-dimensional optimal system and similarity transformations for the 3 + 1 Kudryashov–Sinelshchikov equation
- Hopf bifurcations in a network of FitzHugh–Nagumo biological neurons
- Gravity modulation effect on weakly nonlinear thermal convection in a fluid layer bounded by rigid boundaries
- A new numerical formulation for the generalized time-fractional Benjamin Bona Mohany Burgers’ equation
- Chebyshev spectral method for solving a class of local and nonlocal elliptic boundary value problems
- Adaptive extragradient methods for solving variational inequalities in real Hilbert spaces
- Elastic trend filtering
- A new approach to representations of homothetic motions in Lorentz space
- Numerical simulation of variable-order fractional differential equation of nonlinear Lane–Emden type appearing in astrophysics
- Stability analysis and numerical simulations of the fractional COVID-19 pandemic model
- Numerical solutions of the Bagley–Torvik equation by using generalized functions with fractional powers of Laguerre polynomials
- N-fold Darboux transformation and exact solutions for the nonlocal Fokas–Lenells equation on the vanishing and plane wave backgrounds
- Closed form soliton solutions to the space-time fractional foam drainage equation and coupled mKdV evolution equations
- Master-slave synchronization in the Duffing-van der Pol and Φ6 Duffing oscillators
- Singularity analysis and analytic solutions for the Benney–Gjevik equations
- Trajectory controllability of nonlinear fractional Langevin systems
- Similarity transformations for modified shallow water equations with density dependence on the average temperature
- Non-equidistant partition predictor–corrector method for fractional differential equations with exponential memory
- Dynamical analysis of fractional-order of IVGTT glucose–insulin interaction
- Dynamic response of Mathieu–Duffing oscillator with Caputo derivative
- Non-Newtonian fluid flow having fluid–particle interaction through a porous zone in a channel with permeable walls
- A class of computationally efficient Newton-like methods with frozen inverse operator for nonlinear systems
