Existence and partial approximate controllability of nonlinear Riemann–Liouville fractional systems of higher order

Abdul Haq and N. Sukavanam

Chaos, Solitons & Fractals, 2022, vol. 165, issue P1

Abstract: This article studies the existence and partial approximate controllability of higher order nonlocal semilinear fractional differential equations with Riemann–Liouville derivatives avoiding Lipschitz assumptions of nonlinear operator and nonlocal functions. To derive the existence result, we make approximate systems corresponding to the original system. For this, we construct the mild solutions in terms of fractional resolvent. Then, we prove the partial approximate controllability of the nonlinear system by using the obtained existence result. Finally, we give an example to illustrate the established theory.

Keywords: Nonlinear system; Fractional derivative; Fixed point; Mild solution; 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:165:y:2022:i:p1:s0960077922009626

DOI: 10.1016/j.chaos.2022.112783

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