Riemann-Liouville 分数阶微分控制系统的逼近能控性

Abstract

Abstract:

In this paper, We discuss Riemann-Liouville fractional evolution differential systems in Banach spaces. Firstly, the existence of $C_{1-\alpha}$-mild solutions for the Riemann-Liouville fractional evolution differential equations are established in Banach spaces. Secondly, we make some general assumptions to guarantee the approximate controllability of the associated Riemann-Liouville fractional evolution systems is also formulated and proved. In the end, an example is given to illustrate our main results.

Key words: Riemann-Liouville fractional evolution differential systems, $C_{1-\alpha}$-mild solutions, existence, approximate controllability

CLC Number:

O175.6

Cuiyun Shi, Maojun Bin. Approximate Controllability of Riemann-Liouville Fractional Semilinear Evolution Systems[J].Acta mathematica scientia,Series A, 2026, 46(1): 249-258.

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Approximate Controllability of Riemann-Liouville Fractional Semilinear Evolution Systems

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