<p>In this study, we examine the existence and controllability results for Hilfer fractional Sobolev-type stochastic differential system with infinite delay via measure of noncompactness. The main findings are derived by employing stochastic theory, measure of noncompactness, fractional calculus, and the Mönch fixed point approach. Finally, we provide an example to illustrate our theoretical findings.</p>

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Controllability Results for Hilfer Fractional Sobolev-type Stochastic Differential System via Measure of Noncompactness

  • K. Nandhaprasadh,
  • R. Udhayakumar

摘要

In this study, we examine the existence and controllability results for Hilfer fractional Sobolev-type stochastic differential system with infinite delay via measure of noncompactness. The main findings are derived by employing stochastic theory, measure of noncompactness, fractional calculus, and the Mönch fixed point approach. Finally, we provide an example to illustrate our theoretical findings.