ABSTRACT

This paper studies the controllability of a coupled system for a class of impulsive fractional integro-differential inclusions involving φ-Hilfer fractional derivative and subject to coupled nonlocal integral initial conditions in the case of convex set-valued maps. Some auxiliary conditions are introduced in order to apply a fixed point theorem due to Bohnenblust–Karlin. An illustrative example is provided to exemplify our theoretical results.

中文翻译：

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脉冲φ-Hilfer分数积分-微分夹杂物耦合系统的可控性

摘要

本文研究了一类包含φ - Hilfer分数导数的脉冲分数积分-微分包含在凸集值映射情况下耦合非局部积分初始条件的耦合系统的可控性。由于 Bohnenblust–Karlin，为了应用不动点定理，引入了一些辅助条件。提供了一个说明性的例子来举例说明我们的理论结果。