基于变分法的回火分数阶脉冲微分系统分析

Abstract

Abstract:

The aim of this paper is to discuss a Dirichlet boundary value problem for tempered fractional differential system with instantaneous and non-instantaneous impulses in an appropriate admissible function space. By using variational method, we obtain the sufficient condition for the existence and uniqueness of weak solution, moreover, we show that every weak solution is a classical solution. In the end, an example is presented to highlight the feasibility of the theoretical results.

Key words: Tempered fractional differential equation, Lax-Milgram theorem, Variational method

CLC Number:

O175.8

Jing Ren,Chengbo Zhai. Analysis of Impulsive Tempered Fractional Differential System via Variational Approach[J].Acta mathematica scientia,Series A, 2021, 41(2): 415-426.

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References 15

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Analysis of Impulsive Tempered Fractional Differential System via Variational Approach

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