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

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

doi:10.3934/math.20221100

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

Mohamed Adel, Hijaz Ahmad + Show 2 more

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https://doi.org/10.3934/math.20221100

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2022
Citations: 2	License type: cc-by

Affiliation: Cairo University, UniNettuno University, Khon Kaen University, Islamic University of Madinah

#Differential Equations Of Sobolev Type #Hilfer Fractional Differential Equations + Show 8 more

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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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