g - brown运动驱动的分数阶中立型随机演化方程A.P.A.解的定性分析

Q4 Mathematics

Journal of Mathematical and Computational Science Pub Date : 2022-01-01 DOI:10.28919/jmcs/7061

A. D. Nagargoje, V. C. Borkar, R. A. Muneshawar

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引用次数: 0

摘要

其中A(γ): D(A(γ))∧LG(F)→LG(F)是密闭线性算子，函数D、φ、φ、ψ: LG(F)→LG(F)是联合连续的。利用演化算子定理和不动点定理，得到了由g -布朗运动驱动的分数阶中立型随机演化方程的平方均值几乎伪自同构温和解。并证明了方程(1)的温和解是唯一的。

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Qualitative analysis of A.P.A. solution for fractional order neutral stochastic evolution equations driven by G-Brownian motion

where A(γ) : D(A(γ)) ⊂ LG(F )→ LG(F ) is densely closed linear operator and the functions D,φ ,φ and ψ : LG(F )→ LG(F ) are jointly continuous. We drive square mean almost pseudo automorphic mild solution for fractional order neutral stochastic evolution equations driven by G-Brownian motion is obtain by using evolution operator theorem and fixed point theorem. Moreover, we prove that this mild solution of equation (1) is unique.

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来源期刊

Journal of Mathematical and Computational Science Mathematics-Mathematics (all)

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158