Min Wang, Shaochun Ji, Exact null controllability of Riemann-Liouville fractional differential equations via a resolvent method, Vol. 2026 (2026), No. 1, pp. 1-17

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DOI: 10.23952/jnfa.2026.1

Received August 26, 2025; Accepted December 15, 2025; Published January 3, 2026

Abstract. In this paper, the control systems governed by Riemann-Liouville fractional differential equations is introduced in Hilbert spaces. First, $C_{1-\alpha}$ -mild solution to Riemann-Liouville fractional control system is introduced by means of fractional resolvents. Then by fractional calculus and fixed point theorem, some sufficient conditions are derived to ensure the exact null controllability of Riemann-Liouville fractional differential equations. Finally, an example is presented to illustrate our abstract results.

How to Cite this Article:
M. Wang, S. Ji, Exact null controllability of Riemann-Liouville fractional differential equations via a resolvent method, J. Nonlinear Funct. Anal. 2026 (2026) 1.