Approximate Controllability Results for Fractional Semilinear Integro-Differential Inclusions in Hilbert Spaces

By Nazim Idrisoglu Mahmudov, V. Vijayakumar, Chokkalingam Ravichandran, Rangasamy Murugesu. Results in Mathematics, 2015

48 citations recorded by the source corpus.

In this paper, we consider a class of fractional integro-differential inclusions in Hilbert spaces. This paper deals with the approximate controllability for a class of fractional integro-differential control systems. First, we establishes a set of sufficient conditions for the approximate controllability for a class of fractional semilinear integro-differential inclusions in Hilbert spaces. We use Bohnenblust–Karlin’s fixed point theorem to prove our main result. Further, we extend the result to study the approximate controllability concept with nonlocal conditions. An example is also given to illustrate our main result.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/8239a330b63d622552af812dad9f8b8b06f86ed3

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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): “A broad list of these distributions can be discovered in [6, 9, 11–16, 18–24, 43, 44–50].”
Results on controllability of non-densely characterized neutral fractional delay differential system (2021, background): “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 for a class of second-order evolution differential inclusions without compactness (2019, background): “Existence and controllability results of nonlinear differential equations and fractional differential equations with nonlocal conditions has been studied by several authors for different kind of problems [8,14,16,17,40,41].”