TY - JOUR
T1 - Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality
T2 - Existence and controllability☆
AU - Ma, Yong Ki
AU - Dineshkumar, C.
AU - Vijayakumar, V.
AU - Udhayakumar, R.
AU - Shukla, Anurag
AU - Sooppy Nisar, Kottakkaran
N1 - Publisher Copyright:
© 2023 THE AUTHORS
PY - 2023/9
Y1 - 2023/9
N2 - This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system. Firstly, by using fixed point theorems, fractional calculus, Hilfer fractional derivatives, multivalued maps and stochastic analysis, for stochastic fractional evolution systems, we demonstrate mild solutions. Whereupon we introduce necessary conditions that ensure the approximate controllability of stochastic fractional systems. As a final step, we define our primary outcomes using an example.
AB - This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system. Firstly, by using fixed point theorems, fractional calculus, Hilfer fractional derivatives, multivalued maps and stochastic analysis, for stochastic fractional evolution systems, we demonstrate mild solutions. Whereupon we introduce necessary conditions that ensure the approximate controllability of stochastic fractional systems. As a final step, we define our primary outcomes using an example.
KW - Approximate controllability
KW - Generalized Clarke subdifferential
KW - Hemivariational inequality
KW - Hilfer fractional derivative (HFD)
KW - Neutral systems
KW - Stochastic equation
UR - https://www.scopus.com/pages/publications/85149252139
U2 - 10.1016/j.asej.2023.102126
DO - 10.1016/j.asej.2023.102126
M3 - Article
AN - SCOPUS:85149252139
SN - 2090-4479
VL - 14
JO - Ain Shams Engineering Journal
JF - Ain Shams Engineering Journal
IS - 9
M1 - 102126
ER -