A new approach on approximate controllability of fractional evolution inclusions of order \(1
From MaRDI portal
Publication:2128157
DOI10.1016/j.chaos.2020.110343zbMath1496.34120OpenAlexW3093409001MaRDI QIDQ2128157
M. Mohan Raja, Udhayakumar Ramalingam, V. Vijayakumar
Publication date: 21 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110343
approximate controllabilitymild solutionsinfinite delayfractional derivativeMainardi's Wright-type function
Controllability (93B05) Evolution inclusions (34G25) Control problems for functional-differential equations (34K35) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Controllability for fractional evolution inclusions without compactness
- Approximate controllability of fractional nonlinear differential inclusions
- Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators
- Approximate controllability of nonlinear fractional dynamical systems
- Approximate controllability of second-order evolution differential inclusions in Hilbert spaces
- The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
- Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces
- Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
- Existence and controllability results for fractional semilinear differential inclusions
- Existence of the mild solution for some fractional differential equations with nonlocal conditions
- Approximate controllability and optimal controls of fractional dynamical systems of order \(1< q<2\) in Banach spaces
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- On integral solutions of some nonlocal fractional differential equations with nondense domain
- A Cauchy problem for some fractional abstract differential equation with non local conditions
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On a mild solution of a semilinear functional-differential evolution nonlocal problem
- The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)
- Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces
- Existence of solutions and approximate controllability of fractional nonlocal stochastic differential equations of order \(1<q\leq 2\) with infinite delay and Poisson jumps
- New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
- Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay
- Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness
- Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\)
- Existence results of Hilfer integro-differential equations with fractional order
- Hilfer fractional stochastic integro-differential equations
- Existence of solutions and approximate controllability of fractional nonlocal neutral impulsive stochastic differential equations of order \(1<q<2\) with infinite delay and Poisson jumps
- Controllability of impulsive functional differential systems with infinite delay in Banach spaces
- Multi-valued operators and fixed point theorems in Banach algebras. I
- UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 < α < 2
- Vector-valued Laplace Transforms and Cauchy Problems
- Cosine families and abstract nonlinear second order differential equations
- On controllability of linear stochastic systems
- Approximate controllability results for abstract neutral integro-differential inclusions with infinite delay in Hilbert spaces
- Controllability results for fractional order neutral functional differential inclusions with infinite delay
- Approximate controllability of fractional stochastic integro-differential equations with infinite delay of order 1 < α < 2
- Existence and regularity results of a backward problem for fractional diffusion equations
- Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille–Yosida operators
- Basic Theory of Fractional Differential Equations
- Boundary value problems on the half-line with impulses and infinite delay