EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

doi:10.1016/S0252-9602(16)30010-8

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (2): 428-442.doi: 10.1016/S0252-9602(16)30010-8

EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

A. Vinodkumar¹, K. Malar², M. Gowrisankar³, P. Mohankumar⁴

1. Department of Mathematics, Amrita School of Engineerring, Amrita Vishwa Vidyapeetham University, Coimbatore-641112 Tamil Nadu, INDIA;
2. Department of Mathematics, Erode Arts and Science College, Erode-638009, Tamil Nadu, INDIA;
3. Department of Mathematics, Annapoorana Engineering College, Salem-636308, Tamil Nadu, INDIA;
4. Department of Mathematics, A. C. T College of Engineering and Technology, Kancheepuram-603 107, Tamil Nadu, INDIA

收稿日期:2014-03-14 修回日期:2015-10-12 出版日期:2016-04-25 发布日期:2016-04-25
作者简介:A. Vinodkumar,E-mail:vinod026@gmail.com,a vinodkumar@cb.amrita.edu;K. Malar,E-mail:malarganesaneac@gmail.com;M. Gowrisankar,E-mail:tamilangowri@gmail.com;P. Mohankumar,E-mail:profmohankumar@yahoo.co.in

EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

A. Vinodkumar¹, K. Malar², M. Gowrisankar³, P. Mohankumar⁴

1. Department of Mathematics, Amrita School of Engineerring, Amrita Vishwa Vidyapeetham University, Coimbatore-641112 Tamil Nadu, INDIA;
2. Department of Mathematics, Erode Arts and Science College, Erode-638009, Tamil Nadu, INDIA;
3. Department of Mathematics, Annapoorana Engineering College, Salem-636308, Tamil Nadu, INDIA;
4. Department of Mathematics, A. C. T College of Engineering and Technology, Kancheepuram-603 107, Tamil Nadu, INDIA

Received:2014-03-14 Revised:2015-10-12 Online:2016-04-25 Published:2016-04-25

摘要/Abstract

摘要：

In this article, we study the existence, uniqueness, stability through continuous dependence on initial conditions and Hyers-Ulam-Rassias stability results for random impulsive fractional differential systems by relaxing the linear growth conditions. Finally, we give examples to illustrate its applications.

关键词: Fractional differential systems, random impulses, stability, Hyers-Ulam stability, Hyers-Ulam-Rassias stability

Abstract:

Key words: Fractional differential systems, random impulses, stability, Hyers-Ulam stability, Hyers-Ulam-Rassias stability

中图分类号:

34A08

A. Vinodkumar, K. Malar, M. Gowrisankar, P. Mohankumar. EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2016, 36(2): 428-442.

A. Vinodkumar, K. Malar, M. Gowrisankar, P. Mohankumar. EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 2016, 36(2): 428-442.

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EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

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