A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1

	A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1<\beta<2$
Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 آبان 1404 اصل مقاله (1.24 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.61360.2637
نویسندگان
Nandhaprasadh K؛ Udhayakumar Ramalingam^*
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India.
چکیده
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.
کلیدواژه‌ها
Approximate controllability؛ Hilfer fractional derivative؛ stochastic evolution equation

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A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1<\beta<2$