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EXISTENCE, UNIQUENESS AND STABILITY OF RANDOM IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS 被引量:4
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作者 A.Vinodkumar K.Malar +1 位作者 M.Gowrisankar p.mohankumar 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期428-442,共15页
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 relax... 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. 展开更多
关键词 Fractional differential systems random impulses STABILITY Hyers-Ulam stability Hyers-Ulam-Rassias stability
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STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS 被引量:2
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作者 M.GOWRISANKAR p.mohankumar A.VINODKUMAR 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1055-1071,共17页
In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are ob... In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results. 展开更多
关键词 semilinear differential equations random impulses stability Hyers-Ulam stability Hyers-Ulam-Rassias stability exponential stability contraction principle
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