分数阶半线性问题渐近w周期解的存在唯一性

Journal of Applied and Computational Mathematics Pub Date : 2019-04-08 DOI:10.4172/2168-9679.1000440

S. Maghsoodi, A. Neamaty

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引用次数: 2

摘要

本文拟证明在Banach空间X中，当条件为0<α<1时，分数阶微分问题()=()()()()()()()()()()()()()()()()()()()，)()()()()，)()()()()，)()()()()，)()()()()，)()()()()()，)有唯一渐近w周期解，其中A是演化系统u (t,s)的生成子，f是w周期极限函数。

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Existence and Uniqueness of Asymptotically w-Periodic Solution for Fractional Semilinear Problem

In this paper, we intend to show the fractional differential problem ( )= ( ) ( ) ( , ( )) t D u t A t u t f t u t α + , with condition 0<α<1, considered in a Banach space X, where A is a generator of evolution system U(t,s) and f is w-periodic limit function, has a unique asymptotically w-periodic solution.

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Journal of Applied and Computational Mathematics

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