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<p>In this article we investigate the approximate controllability results for delay fractional differential evolution systems with <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> <EquationSource Format="TEX">$\psi $</EquationSource> </InlineEquation>-Caputo fractional derivative. We derive sufficient conditions to establish the approximate controllability of the system with the help of the un-delayed corresponding system. Also the existence, uniqueness and boundedness of the mild solutions of the said systems are proved using Banach contraction principle. An example is provided at the end to validate the results.</p>

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Approximate Controllability of Fractional Differential Systems of \(\psi \)-Caputo Type with Delay in State

  • 期刊论文

  • 发表日期：

    2026年3月12日

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  • Dibyajyoti Hazarika,
  • Jayanta Borah,
  • Bhupendra Kumar Singh

摘要

In this article we investigate the approximate controllability results for delay fractional differential evolution systems with ψ $\psi $ -Caputo fractional derivative. We derive sufficient conditions to establish the approximate controllability of the system with the help of the un-delayed corresponding system. Also the existence, uniqueness and boundedness of the mild solutions of the said systems are proved using Banach contraction principle. An example is provided at the end to validate the results.