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Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive

Mohamed Adel, M. Elsaid Ramadan, Hijaz Ahmad, Thongchai Botmart

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Published: Jan 1, 2022

DOI: 10.3934/math.20221100

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Source abstract

<abstract><p>The existence of a mild solution for nonlinear Hilfer fractional stochastic differential equations of the Sobolev type with non-instantaneous impulse in Hilbert space is investigated in this study. For nonlinear Hilfer fractional stochastic differential equations of Sobolev type with non-instantaneous impulsive conditions, sufficient criteria for controllability are established. Finally, an illustration of the acquired results is shown.</p></abstract>

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Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive — Mathematical Frontier Network