Well posedness of second-order impulsive fractional neutral stochastic differential equations

AIMS Mathematics

Anguraj Annamalai¹  Ravikumar Kasinathan¹  Ramkumar Kasinathan¹  Dumitru Baleanu² 

[1] 1. Department of Mathematics, PSG College of Arts & Science, Coimbatore, 641 046, India;2. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Balgat, Ankara, Turkey 3. Institute of Space Sciences, Magurele-Bucharest, Romania 4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;

关键词: stochastic fractional differential equations;    bihari's inequality;    successive approximation;    poisson jumps;   

DOI  :  10.3934/math.2021536

来源: DOAJ

【 摘 要 】

In this manuscript, we investigate a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by Poisson jumps in Banach space. Firstly, sufficient conditions of the existence and the uniqueness of the mild solution for this type of equations are driven by means of the successive approximation and the Bihari's inequality. Next we get the stability in mean square of the mild solution via continuous dependence on initial value.

【 授权许可】

Unknown