Controllability of semilinear noninstantaneous impulsive neutral stochastic differential equations via Atangana-Baleanu Caputo fractional derivative

This study mainly concerns the controllability of semilinear noninstantaneous impulsive neutral stochastic differential equations via the Atangana-Baleanu (AB) Caputo fractional derivative (FD). The essential findings are created using methods and concepts from semigroup theory, stochastic theory, f...

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Bibliographic Details
Published inAlexandria engineering journal Vol. 94; pp. 149 - 158
Main Authors Sarwar, Muhammad, Hussain, Sadam, Abodayeh, Kamaleldin, Moonsuwan, Sawitree, Sitthiwirattham, Thanin
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2024
Elsevier
Subjects
Atangana-Baleanu derivative
Controllability
Fixed point
Measure of noncompactness
Semigroup
secondary
Atangana-Baleanu derivative
Measure of noncompactness
Controllability
Semigroup
primary
Fixed point
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Summary:This study mainly concerns the controllability of semilinear noninstantaneous impulsive neutral stochastic differential equations via the Atangana-Baleanu (AB) Caputo fractional derivative (FD). The essential findings are created using methods and concepts from semigroup theory, stochastic theory, fractional calculus, K-set contraction, and measure of noncompactness. Finally, an example is provided to demonstrate the applications of the key findings.
ISSN:1110-0168
DOI:10.1016/j.aej.2024.03.022