Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions

By Nadjet Abada, Mouffak Benchohra, Hadda Hammouche. 2009

158 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/98cc41a49ad34a1a3ce49ca312bd13bd1d1fda5a

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In Applied Mathematics

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In Geometry and Topology

Citations in the corpus

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 (2015, background): “In recent years, various controllability problem for different kinds of dynamical systems have been studied [1, 11, 12, 32].”
Approximate Controllability of Second-Order Evolution Differential Inclusions in Hilbert Spaces (2015, background): “Concerning the general motivations, relevant developments and the current status of the theory, we refer the reader to [1,4,5,22,23,26,41,45,46,51,54,55].”
Controllability results for fractional order neutral functional differential inclusions with infinite delay (2017, unknown): “Existence and control problems for various types of diﬀerential systems and fractional diﬀerential systems have been studied by many authors in [1, 4, 5, 6, 8, 9, 10, 16, 17, 18, 19, 21, 27, 25, 34, 37, 40, 41, 42, 43, 44, 45, 46, 48, 47, 51, 52, 53, 57, 58].”
Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators (2020, background): “There are various works on complete controllability and approximate controllability of systems represented by differential equations, integro-differential equations, differential inclusions, neutral functional differential equations, and impulsive differential equations of integer and fractional ord”
On a new class of abstract impulsive differential equations (2012, background): “Concerning the general motivations, relevant developments and the current status of the theory, we refer the reader to [1]-[16] and the references therein.”
On the new concept of solutions and existence results for impulsive fractional evolution equations (2011, background): “For a wide bibliography and exposition on this object see for instance the monographs of [1, 2, 3, 4] and the papers [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19].”