Abstract

In this work, we investigate the controllability results of a fractional integro-differential equation with non-instantaneous impulses on time scales. Banach contraction theorem and the non-linear functional analysis have been used to establish these results. In support, a numerical example with simulation for different time scales is given to validate the obtained analytical outcomes.

中文翻译：

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非瞬时脉冲分数阶积分微分方程的可控性

摘要

在这项工作中，我们研究了在时间尺度上具有非瞬时脉冲的分数阶积分-微分方程的可控性结果。Banach收缩定理和非线性功能分析已用于建立这些结果。作为支持，给出了带有不同时标的仿真的数值示例，以验证所获得的分析结果。