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<p>This paper is devoted to exploring the existence and trajectory controllability results for a class of Hilfer fractional neutral impulsive stochastic differential equations with infinite delay and nonlocal condition driven by fractional Brownian motion. By applying fractional calculus, semigroup theory, M<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\ddot{o}\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <mi>o</mi> <mo>¨</mo> </mover> </math></EquationSource> </InlineEquation>nch fixed point theory, the measure of noncompactness, and stochastic theory, we obtained existence results for the proposed system. Moreover, the trajectory controllability results for the aforementioned system are attained. Finally, an illustration is furnished to obtain the theoretical outcomes.</p>

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Trajectory controllability of Hilfer fractional impulsive stochastic delayed differential equations driven by fractional Brownian motion

  • 期刊论文

  • 发表日期：

    2026年6月26日

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  • Varshini Sandrasekaran,
  • Ramkumar Kasinathan,
  • Ravikumar Kasinathan,
  • Dimplekumar Chalishajar,
  • Rajesh Dhayal

摘要

This paper is devoted to exploring the existence and trajectory controllability results for a class of Hilfer fractional neutral impulsive stochastic differential equations with infinite delay and nonlocal condition driven by fractional Brownian motion. By applying fractional calculus, semigroup theory, M \(\ddot{o}\) o ¨ nch fixed point theory, the measure of noncompactness, and stochastic theory, we obtained existence results for the proposed system. Moreover, the trajectory controllability results for the aforementioned system are attained. Finally, an illustration is furnished to obtain the theoretical outcomes.