Approximate controllability of impulsive fractional evolution equations of order 1<α<2$$ 1&lt;\alpha &lt;2 $$ with state‐dependent delay in Banach spaces
From MaRDI portal
Publication:6141856
DOI10.1002/mma.8527zbMath1527.34119OpenAlexW4285396056MaRDI QIDQ6141856
Manil T. Mohan, Sumit Arora, Jaydev Dabas
Publication date: 20 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8527
approximate controllabilitystate-dependent delayfractional derivativenoninstantaneous impulsesMainardi's Wright-type function
Controllability (93B05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Linear-quadratic optimal control problems (49N10) Control problems for functional-differential equations (34K35) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a new class of impulsive fractional differential equations
- Approximate controllability of nonlinear fractional dynamical systems
- Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
- The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
- Approximate controllability of fractional Sobolev-type evolution equations in Banach spaces
- Approximate controllability of fractional neutral evolution equations in Banach spaces
- Approximate controllability of fractional order semilinear systems with bounded delay
- On approximate controllability of functional impulsive evolution inclusions in a Hilbert space
- A general class of impulsive evolution equations
- Input-to-state stability of networked control systems
- Existence of the mild solutions for impulsive fractional equations with infinite delay
- Existence of solutions of the abstract Cauchy problem of fractional order
- On impulsive functional differential inclusions with Hille-Yosida operators in Banach spaces
- Semigroups of linear operators and applications to partial differential equations
- Functional differential equations with infinite delay
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
- Periodicity in a food-limited population model with toxicants and state dependent delays.
- A mathematical model of the dynamics of the phytoplankton-nutrient system
- Controllability and stabilization of parabolic equations
- Analysis and control of nonlinear infinite dimensional systems
- Approximate controllability of the non-autonomous impulsive evolution equation with state-dependent delay in Banach spaces
- Existence of mild solution for mixed Volterra-Fredholm integro fractional differential equation with non-instantaneous impulses
- Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces
- Caputo-Fabrizio fractional differential equations with non instantaneous impulses
- Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness
- A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces
- On a delayed epidemic model with non-instantaneous impulses
- Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\)
- New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\)
- Averaged norms
- On the Linear Heat Equation with Fading Memory
- Approximate controllability of impulsive differential equations with state-dependent delay
- A Note on the Lack of Exact Controllability for Mild Solutions in Banach Spaces
- Cosine families and abstract nonlinear second order differential equations
- Impulsive Control and Synchronization of Nonlinear Dynamical Systems and Application to Secure Communication
- Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
- Ergodicity for Infinite Dimensional Systems
- On a new class of abstract impulsive differential equations
- On non‐instantaneous impulsive fractional differential equations and their equivalent integral equations
- Approximate controllability of semilinear impulsive functional differential systems with non-local conditions
- Almost periodic solutions for a class of non-instantaneous impulsive differential equations
- Non-Instantaneous Impulses in Differential Equations
- Nonlinear impulsive integro-differential equations of mixed type and optimal controls
- On heat conduction in materials with memory
- On cosine operator functions and one-parameter groups of operators
- Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay
- Functional analysis and infinite-dimensional geometry
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Approximate controllability of impulsive fractional evolution equations of order 1<α<2$$ 1&amp;amp;lt;\alpha &amp;amp;lt;2 $$ with state‐dependent delay in Banach spaces
