Fractional impulsive differential equations: Exact solutions, integral equations and short memory case

Author:

Wu Guo–Cheng1,Zeng De–Qiang1,Baleanu Dumitru234

Affiliation:

1. Data Recovery Key Laboratory of Sichuan Province , College of Mathematics and Information Science , Neijiang Normal University , Neijiang , 641100 , PR China

2. Department of Mathematics , Cankaya University , 06530 Balgat , Ankara , Turkey

3. College of Mechanics and Materials, State Key Laboratory of Hydrology–Water Resources and Hydraulic Engineering , Hohai University , Nanjing , Jiangsu 210098 , PR China

4. Institute of Space Sciences , Magurele–Bucharest , Romania

Abstract

Abstract Fractional impulsive differential equations are revisited first. Some fundamental solutions of linear cases are given in this study. One straightforward technique without using integral equation is adopted to obtain exact solutions which are given by use of piecewise functions. Furthermore, a class of short memory fractional differential equations is proposed and the variable case is discussed. Mittag–Leffler solutions with impulses are derived which both satisfy the equations and impulsive conditions, respectively.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Cited by 89 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3