一类Conformable分数阶发展包含解集的非空性和紧性
A Class of Conformable Fractional Order Evolution Inclusions the Non-Emptiness and Compactness of the Solution Set
摘要: 本文利用不动点定理和算子半群理论讨论了Banach空间 α∈( 0,1 ] 阶Conformable型分数阶发展包含 { T α x( t )∈Ax( t )+B( t,x( t ) )u( t )+F( t,x( t ) ),t∈J:=( 0,b ], x( 0 )= x 0 , mild解的存在性以及解集的紧性。
Abstract: This paper utilizes the fixed point theorem and operator semigroup theory to discuss the existence and compactness of the set of mild solutions for the α∈( 0,1 ] -order conformable fractional order evolution inclusion { T α x( t )∈Ax( t )+B( t,x( t ) )u( t )+F( t,x( t ) ),t∈J=[ 0,b ], x( 0 )= x 0 . .
文章引用：常元元. 一类Conformable分数阶发展包含解集的非空性和紧性[J]. 理论数学, 2024, 14(11): 314-324. https://doi.org/10.12677/pm.2024.1411398

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