Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order r∈(1,2)
This article investigates the issue of optimal control and approximate controllability results for fractional integrodifferential evolution equations with infinite delay of r∈(1,2) in Banach space. In the beginning, we analyze approximate controllability results for fractional integrodifferential ev...
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| Veröffentlicht in: | Optimal control applications & methods 2022-07, Vol.43 (4), p.996-1019 |
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| container_title | Optimal control applications & methods |
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| creator | Mohan Raja, Marimuthu Vijayakumar, Velusamy Shukla, Anurag Sooppy Nisar, Kottakkaran Sakthivel, Natarajan Kaliraj, Kalimuthu |
| description | This article investigates the issue of optimal control and approximate controllability results for fractional integrodifferential evolution equations with infinite delay of r∈(1,2) in Banach space. In the beginning, we analyze approximate controllability results for fractional integrodifferential evolution equations using the fractional calculations, cosine families, and Banach fixed point theorem. After, we developed the continuous dependence of the fractional integrodifferential evolution equations by using the Henry–Gronwall inequality. Furthermore, we tested the existence of optimal controls for the Lagrange problem. Lastly, an application is presented to illustrate the theory of the main results. |
| doi_str_mv | 10.1002/oca.2867 |
| format | Article |
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In the beginning, we analyze approximate controllability results for fractional integrodifferential evolution equations using the fractional calculations, cosine families, and Banach fixed point theorem. After, we developed the continuous dependence of the fractional integrodifferential evolution equations by using the Henry–Gronwall inequality. Furthermore, we tested the existence of optimal controls for the Lagrange problem. 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| subjects | approximate controllability Banach spaces Controllability cosine families Evolution fixed point theorem Fixed points (mathematics) fractional derivative integrodifferential equations Mainardi's Wright‐type function Mathematical analysis mild solutions Optimal control optimal controls |
| title | Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order r∈(1,2) |
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