Results on Approximate Controllability of $$\Psi $$-Hilfer Fractional Control Semilinear Systems via Gronwall’s Inequality

• Published in: Complex analysis and operator theory Vol. 19; no. 6
• Main Authors: Chauhan, Raman, Singh, Karunesh, Shukla, Anurag
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.09.2025
• Subjects: Banach spaces; Controllability; Fixed points (mathematics); Nonlinear control; Operators (mathematics)

This study investigates the approximate controllability of semilinear systems governed by the Ψ-Hilfer fractional derivative, which generalizes various fractional operators. The analysis employs semigroup theory, Ψ-fractional Gronwall inequalities, and convergence of Cauchy sequences in Banach space...