Nonlocal Controllability of Sobolev-Type Conformable Fractional Stochastic Evolution Inclusions with Clarke Subdifferential

被引：0
作者：
Hamdy M. Ahmed
Maria Alessandra Ragusa
机构：
[1] El-Shorouk Academy,Higher Institute of Engineering
[2] Universitá di Catania,Dipartimento di Matematica e Informatica
[3] RUDN University,undefined
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2022年 / 45卷
关键词：
Conformable fractional derivative; Stochastic evolution inclusions; Nonlocal controllability; Clarke subdifferential; 34K40; 60H15; 34A08; 93B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential and nonlocal conditions are studied. By using fractional calculus, stochastic analysis, properties of Clarke subdifferential and nonsmooth analysis, sufficient conditions for nonlocal controllability for the considered problem are established. Finally, an example is given to illustrate the obtained results.
引用
收藏
页码：3239 / 3253
页数：14
相关论文
共 47 条
  • [1] Wang W(2018)A stochastic differential equation SIS epidemic model incorporating Ornstein–Uhlenbeck process Physica A 509 921-936
  • [2] Cai Y(2017)Sobolev-type fractional stochastic differential equations with non-Lipschitz coefficients J. Comput. Appl. Math. 312 65-73
  • [3] Ding Z(2018)Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function Adv. Differ. Equ. 2018 1-22
  • [4] Gui Z(2019)Modelling uncertainties in electrical power systems with stochastic differential equations Int. J. Electr. Power Energy Syst. 113 322-332
  • [5] Benchaabane A(2021)The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps Appl. Math. Lett. 112 106755-1451
  • [6] Sakthivel R(2021)Fractional stochastic models for COVID-19: case study of Egypt Results Phys. 23 104018-120
  • [7] Zhang S(2020)Asymptotic behavior for non-autonomous fractional stochastic Ginzburg–Landau equations on unbounded domains J. Math. Phys. 61 072704-368
  • [8] Meng X(2016)Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay Math. Methods Appl. Sci. 39 1435-15
  • [9] Wang X(2006)Existence of solutions for second order evolution inclusions with application to mechanical contact problems Optimization 55 101-100
  • [10] Verdejo H(2008)Commutators of fractional integral operators on vanishing–Morrey spaces J. Glob. Optim. 40 361-1869
12345