General Solutions of a Higher Order Impulsive Fractional Differential Equation Involving the Riemann-Liouville Fractional Derivatives

作     者：Yuji LIU Yuji LIU

作者机构：Department of Mathematics Guangdong University of Finance and Economics 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期：2020年第40卷第2期

页      面：140-164页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Natural Science Foundation of Guangdong Province(Grant No.S2011010001900) the Natural Science Research Project for Colleges and Universities of Guangdong Province(Grant No.2014KTSCX126) the Foundation for High-Level Talents in Guangdong Higher Education(Grant No.201707010425) the Foundations of Guangzhou Science and Technology(Grant No.201804010350) 

主　　题：higher order fractional differential equation piecewise continuous solution RiemannLiouville fractional derivative impulse effect 

摘      要：We give general solutions(the explicit solutions) of a class of multi-term impulsive fractional differential equations involving the Riemann-Liouville fractional derivatives. This paper contributes within the domain of impulsive fractional differential equations. The author strongly believes that the article will highly be appreciated by the researchers working in the field of fractional calculus and on fractional differential models.