Abstract
We herein report a new class of impulsive fractional stochastic differential systems driven by mixed fractional Brownian motions with infinite delay and Hurst parameter H^∈(1/2,1). Using fixed point techniques, a q-resolvent family, and fractional calculus, we discuss the existence of a piecewise continuous mild solution for the proposed system. Moreover, under appropriate conditions, we investigate the approximate controllability of the considered system. Finally, the main results are demonstrated with an illustrative example.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference39 articles.
1. Hilfer, R. (2000). Applications of Fractional Calculus in Physics, World Scientific Publishing.
2. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, Elsevier. North-Holland Mathematics Studies.
3. Podlubny, I. (1993). Mathematics in Science and Engineering, Academic Press, Inc.
4. Zhou, Y., Wang, J., and Zhang, L. (2017). Basic Theory of Fractional Differential Equations, World Scientific Publishing Co. Pte. Ltd.
5. Relative controllability in fractional differential equations with pure delay;Li;Math. Methods Appl. Sci.,2018
Cited by
20 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