Fast‐time complete controllability of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter

Abstract

In this work, new controllability results for a class of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter have been derived under a new concept that we define as fast-time complete controllability. Nonlinearity here is only supposed to be continuous rather than Lipschitz continuous by contrast. The major tools we adopt are resolvent operator theory and the theory of nonlinear functional analysis. Theoretical and practical applications are presented to illustrate the effectiveness of the new abstract results.

New Discussion on Approximate Controllability for Semilinear Fractional Evolution Systems with Finite Delay Effects in Banach Spaces via Differentiable Resolvent Operators

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Relatively exact controllability of fractional stochastic delay system driven by Lévy noise

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Approximate Controllability for a Class of Semi-Linear Fractional Integro-Differential Impulsive Evolution Equations of Order 1 < α < 2 with Delay

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