Partial-approximate controllability of semi-linear systems involving two Riemann-Liouville fractional derivatives

Abdul Haq

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

Abstract: This work analyzes the existence and partial-approximate controllability of non-local semi-linear systems involving two Riemann-Liouville fractional derivatives without Lipschitz continuity of non-linearity term. We set an approximate system for the existence of solution. Then under some assumptions, we show that the partial-approximate controllability of the corresponding linear system implies the partial-approximate controllability of the original system. The discussions are based on minimization of functional and fixed point approach. To validate the developed theory, an example is given.

Keywords: Fractional system; Riemann-Liouville derivative; Mild solution; Fixed point; Controllability (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001333

DOI: 10.1016/j.chaos.2022.111923

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