Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay

By V. Vijayakumar, R. Udhayakumar. Chaos, Solitons & Fractals, 2020

77 citations recorded by the source corpus.

Abstract This manuscript is mainly focusing on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay. We study our primary outcomes by employing fractional calculus and Bohnenblust-Karlin’s fixed point theorem. Then, we continue our study to prove the approximate controllability of the Hilfer fractional system with nonlocal conditions. Lastly, we give two applications to support the validity of the study.

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

View Paper: https://www.semanticscholar.org/paper/95dc003cb7a1f1b419cb405cb8b61e7ff7c52625

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In Applied Mathematics

1. Kottakkaran Sooppy Nisar
2. V. Vijayakumar
3. Chokkalingam Ravichandran
4. Kishor D. Kucche
5. R. Udhayakumar
6. Behzad Ghanbari
7. M. Mohan Raja
8. Sunil Kumar

In Control and Systems Engineering

1. Kottakkaran Sooppy Nisar
2. V. Vijayakumar
3. Chokkalingam Ravichandran
4. R. Udhayakumar

In Modeling and Simulation

1. Kottakkaran Sooppy Nisar
2. V. Vijayakumar
3. Chokkalingam Ravichandran
4. Kishor D. Kucche
5. R. Udhayakumar
6. Behzad Ghanbari
7. Sunil Kumar
8. M. Mohan Raja

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].”