Complete controllability for a class of fractional evolution equations with uncertainty
DOI10.3934/eect.2020104zbMath1485.93078OpenAlexW3110572770MaRDI QIDQ2119768
Nguyen Phuong Dong, Le Hoang Son, Nguyen Thi Kim Son, Hoang Viet Long, Alireza Khastan
Publication date: 30 March 2022
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2020104
Krasnoselskii's fixed point theoremHausdorff measure of noncompactnessgH-differentiabilitycomplete controllabilityfuzzy fractional evolution equations
Controllability (93B05) Fuzzy control/observation systems (93C42) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08) Fuzzy ordinary differential equations (34A07)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and uniqueness results for fractional differential equations with uncertainty
- New solutions for first order linear fuzzy difference equations
- Solving fuzzy fractional differential equations by fuzzy Laplace transforms
- Controllability for a class of fractional-order neutral evolution control systems
- Complete controllability of fractional evolution systems
- Approximate controllability of fractional functional equations with infinite delay
- Fractional calculus for interval-valued functions
- Controllability of impulsive differential systems with nonlocal conditions
- The Cauchy problem for fuzzy differential equations
- A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
- Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Asymptotic behavior of \(C^0\)-solutions of evolution equations with uncertainties
- Controllability of fractional integro-differential evolution equations with nonlocal conditions
- A new representation for inverse fuzzy transform and its application
- An extension of Krasnoselskii's fixed point theorem and its application to nonlocal problems for implicit fractional differential systems with uncertainty
- A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions
- A foundation on semigroups of operators defined on the set of triangular fuzzy numbers and its application to fuzzy fractional evolution equations
- Controllability of abstract neutral functional differential systems with unbounded delay
- Mathematics of fuzzy sets and fuzzy logic
- The solvability of fuzzy fractional partial differential equations under Caputo gH-differentiability
- An existence and uniqueness result for fuzzy Goursat partial differential equation
- Generalized differentiability of fuzzy-valued functions
- Fuzzy Laplace transforms
- Semigroups of Operators on Spaces of Fuzzy-Number-Valued Functions with Applications to Fuzzy Differential Equations
- Exact and trajectory controllability of second‐order evolution systems with impulses and deviated arguments
- Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions
This page was built for publication: Complete controllability for a class of fractional evolution equations with uncertainty