In this paper, we investigate the approximate controllability of Hilfer fractional stochastic evolution equations of order $\beta\in (1,2)$. The main findings are carried out by using fractional calculus, stochastic analysis theory, measure of noncompactness, and the fixed point theorem. At first, we prove the existence of a mild solution for Hilfer fractional stochastic evolution equations, and then we establish the concept of approximate controllability. Finally, we provide an example to illustrate our theoretical results.
K, N. and Ramalingam, U. (2025). A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1<\beta<2$. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.61360.2637
MLA
K, N. , and Ramalingam, U. . "A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1<\beta<2$", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.61360.2637
HARVARD
K, N., Ramalingam, U. (2025). 'A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1<\beta<2$', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.61360.2637
CHICAGO
N. K and U. Ramalingam, "A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1<\beta<2$," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.61360.2637
VANCOUVER
K, N., Ramalingam, U. A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1<\beta<2$. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.61360.2637
)