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Noninstantaneous Impulsive Conformable Fractional Stochastic Delay Integro-Differential System with Rosenblatt Process and Control Function

  • Ahmed, Hamdy M. [1]
    1. [1] El Shorouk Academy

      El Shorouk Academy

      Egipto

  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
  • Idioma: inglés
  • Enlaces
  • Resumen
    • In this paper, noninstantaneous impulsive conformable fractional stochastic delay integro-differential system driven by Rosenblatt process is studied. Sufficient conditions for approximate controllability and null controllability for the considered problem are established. Finally, an example is introduced to explain the obtained results.

  • Referencias bibliográficas
    • 1. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations, vol. 204. Elsevier, Amsterdam...
    • 2. Heymans, N., Podlubny, I.: Physical interpretation of initial conditions for fractional differential equations with Riemann–Liouville fractional...
    • 3. Heymans, N.: Fractional calculus description of non-linear viscoelastic behaviour of polymers. Nonlinear Dyn. 38(1), 221–231 (2004)
    • 4. Paola, M.D., Zingales, M.: Exact mechanical models of fractional hereditary materials. J. Rheol. 56(5), 983–1004 (2012)
    • 5. Ballinger, G., Liu, X.: Boundedness for impulsive delay differential equations and applications in populations growth models. Nonlinear...
    • 6. Hernández, E., O’Regan, D.: On a new class of abstract impulsive differential equations. Proc. Am. Math. Soc. 141, 1641–1649 (2013)
    • 7. Pierri, M., O’Regan, D., Rolnik, V.: Existence of solutions for semi-linear abstract differential equations with non instantaneous impulses....
    • 8. Gautam, G.R., Dabas, J.: Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses....
    • 9. Hernández, E., Pierri, M., O’Regan, D.: On abstract differential equations with noninstantaneous impulses. Topol. Methods Nonlinear Anal....
    • 10. Tudor, C.A.: Analysis of the Rosenblatt process. ESAIM Probab. Stat. 12, 230–257 (2008)
    • 11. Maejima, M., Tudor, C.A.: On the distribution of the Rosenblatt process. Stat. Probab. Lett. 83, 1490–1495 (2013)
    • 12. Shen, G.J., Ren, Y.: Neutral stochastic partial differential equations with delay driven by Rosenblatt process in a Hilbert space. J....
    • 13. Rathinasamy, S., Yong, R.: Approximate controllability of fractional differential equations with statedependent delay. RM 63(3), 949–963...
    • 14. Rajivganthi, C., Muthukumar, P., Ganesh Priya, B.: Approximate controllability of fractional stochastic integro-differential equations...
    • 15. Zhang, X., Zhu, C., Yuan, C.: Approximate controllability of impulsive fractional stochastic differential equations with state-dependent...
    • 16. Yan, Z., Lu, F.: On approximate controllability of fractional stochastic neutral integro-differential inclusions with infinite delay....
    • 17. Debbouche, A., Torres, D.F.M.: Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions. Appl....
    • 18. Ahmed, H.M.: Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert...
    • 19. Yan, Z., Jia, X.: Approximate controllability of partial fractional neutral stochastic functional integrodifferential inclusions with...
    • 20. Sathiyaraj, T., Feckan, M., Wang, J.: Null controllability results for stochastic delay systems with delayed perturbation of matrices....
    • 21. Wang, J., Ahmed, H.M.: Null controllability of nonlocal Hilfer fractional stochastic differential equations. Miskolc Math. Notes 18(2),...
    • 22. Ahmed, H.M., El-Borai, M.M., El-Owaidy, H.M., Ghanem, A.S.: Null controllability of fractional stochastic delay integro-differential equations....
    • 23. Ahmed, H.M.: Hilfer fractional neutral stochastic partial differential equations with delay driven by Rosenblatt process. J. Control Decis....
    • 24. Khalil, R., Al, Horani M., Yousef, A., Sababheh, M.: A new definition of fractional derivative. J. Comput. Appl. Math. 264, 65–70 (2014)
    • 25. Lakhel, E.H., McKibben, M.: Controllability for time-dependent neutral stochastic functional differential equations with Rosenblatt process...
    • 26. Hannabou, M., Hilal, K., Kajouni, A.: Existence and uniqueness of mild solutions to impulsive nonlocal Cauchy problems. J. Math. 2020,...
    • 27. Sakthivel, R., Ganesh, R., Anthoni, S.M.: Approximate controllability of fractional nonlinear differential inclusions. Appl. Math. Comput....
    • 28. Dauer, J.P., Mahmudov, N.I.: Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal....
    • 29. Dauer, J.P., Mahmudov, N.I.: Exact null controllability of semilinear integrodifferential systems in Hilbert spaces. J. Math. Anal. Appl....
    • 30. Park, J.Y., Balasubramaniam, P.: Exact null controllability of abstract semilinear functional integrodifferential stochastic evolution...

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