Existence and controllability results for fractional semilinear differential inclusions

By Jinrong Wang, Yong Zhou. 2011

186 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/c07fbb3c5ffbeac1e215016362d2e0f230b5b0ec

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In Applied Mathematics

In Geometry and Topology

In Modeling and Simulation

Citations in the corpus

New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 < r < 2 (2021, background): “Lemma 2.14 [36] .”
Controllability of Nonlocal Fractional Differential Systems of Order α ∈ (1,2] In Banach Spaces (2013, background): “Wang and Zhou [11] discussed the nonlinear control systems of fractional order and its optimal controls in Banach spaces.”
Controllability of Sobolev type fractional evolution systems (2014, background): “For more interesting theory results and scientific applications of fractional differential equations, we cite the monographs [2, 3, 4, 5, 6], the research papers [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31] and the references therein.”
Approximate Controllability of Fractional Semilinear Stochastic System of Order α∈ (1,2] (2016, background): “Using existence results for mild solutions, in [14, 17, 18] authors established sufficient conditions for the approximate controllability of a class of fractional order semilinear deterministic systems.”
Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay (2014, methodology): “Now, we present the definition of mild solutions for the system (1) based on the papers [8,32].”
Results on controllability of non-densely characterized neutral fractional delay differential system (2021, unknown): “Controllability permits one to drive the system to an arbitrary final state with the set of permissible controls [3, 5, 8, 12, 14, 18, 23, 25, 27, 30, 31, 32, 37].”
Controllability results for fractional order neutral functional differential inclusions with infinite delay (2017, unknown): “Some works have done on the qualitative properties of solutions for these equations; see the monographs [7, 30, 29, 35, 39], the papers [2, 3, 49] and the references therein.”
Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions (2016, background): “1: (17) F is called upper semicontinuous (u.”
Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces (2013, background): “Recently, the existence of mild solutions and stability and (approximate) controllability of (fractional) semilinear evolution system in Banach spaces have been reported by many researchers; see [2–36].”