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Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive
Journal article   Open access  Peer reviewed

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

Mohamed Adel, M. Elsaid Ramadan, Hijaz Ahmad and Thongchai Botmart
AIMS mathematics, Vol.7(11), pp.20105-20125
01/01/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 noninstantaneous impulsive conditions, sufficient criteria for controllability are established. Finally, an illustration of the acquired results is shown.
url
https://doi.org/10.3934/math.20221100View
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