On S-asymptotically $$\omega$$ -periodic mild solutions of some integrodifferential inclusions of Volterra-type

Alsheekhhussain, Z., J. Wang, and A.G. Ibrahim. 2021. Asymptotically periodic behavior of solutions to fractional non-instantaneous impulsive semilinear differential inclusions with sectorial operators. Advances in Difference Equations 2021 (1): 1–31. Benchohra, M., J. Henderson, and S. Ntouyas. 2006. Impulsive differential equations and inclusions. New York: Hindawi Publishing Corporation. Benedetti, I., V. Obukhovskii, and V. Taddei. 2021. On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. Philosophical Transactions of the Royal Society of London 379 (2191): 20190384. Caicedo, A., Cuevas, C., and Henríquez, H. R. 2011. Asymptotic periodicity for a class of partial integrodifferential equations. International Scholarly Research Notices. Casting, C., Vladier, M. 1977. Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics. vol. 580. Springer, Berlin. Chang, Y.-K., and R. Ponce. 2018. Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces. Journal of Integral Equations and Applications 30 (3): 347–369. Covitz, H., and S.B. Nadler. 1970. Multivalued contraction mapping in generalized metric spaces. Israel Journal of Mathematics 8: 5–11. Cuevas, C., and J.C. De Souza. 2010. Existence of \(S\)-asymptotically \(\omega\)-periodic solutions for fractional order functional integro-differential equations with infinite delay. Journal of Nonlinear Analysis 72 (3): 1683–1689. De Andrade, B., and C. Cuevas. 2010. S-asymptotically \(\omega\)-periodic and asymptotically \(\omega\)-periodic solutions to semilinear Cauchy problems with non-dense domain. Nonlinear Analysis 72 (6): 3190–3208. https://doi.org/10.1016/j.na.2009.12.016. Dieye, M., M.A. Diop, and K. Ezzinbi. 2017. On exponential stability of mild solutions for some stochastic partial integrodifferential equations. Statistics & Probability Letters 123: 61–76. Diop, A., M.A. Diop, O. Diallo, and M.B. Traoré. 2020. Local attractivity for integro-differential equations with noncompact semigroups. Nonautonomous Dynamical Systems 7 (1): 102–117. Diop, A., M. Dieye, M.A. Diop, and K. Ezzinbi. 2022. Integrodifferential equations of Volterra type with nonlocal and impulsive conditions. Journal of Integral Equations and Applications 34 (1): 19–37. Diop, A., M. Dieye, and B. Hazarika. 2022. Random integrodifferential equations of Volterra type with delay: attractiveness and stability. Applied Mathematics and Computation 430: 127301. Diop, M.A., K. Ezzinbi, L.-M. Issaka, and K. Ramkumar. 2020. Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion. Cogent Mathematics Statistics 7 (1): 1782120. Dos Santos, J.P.C., and H.R. Henríquez. 2015. Existence of \(S\)-asymptotically \(\omega\)-periodic solutions to abstract integro-differential equations. Applied Mathematics and Computation 256: 109–118. Guo, M., X. Xue, and R. Li. 2004. Controllability of impulsive evolution inclusions with nonlocal conditions. Journal of Optimization Theory and Applications 120: 355–374. Guo, Y., M. Chen, X. Shu, and F. Xu. 2021. The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm. Stochastic Analysis and Applications 39 (4): 643–666. Grimmer, R.C. 1982. Resolvent operators for integral equations in a Banach space. Transactions of the American Mathematical Society 273: 333–349. Henríquez, H., M. Pierri, and P. Tàboas. 2008. Existence of \(S\)-asymptotically \(\omega\)-periodic solutions for abstract neutral equations. Bulletin of the Australian Mathematical Society 78 (3): 365–382. Henríquez, H., M. Pierri, and P. Tàboas. 2008. On \(S\)-asymptotically \(\omega\)-periodic functions on Banach spaces and applications. Journal of Mathematical Analysis and Applications 343 (2): 1119–1130. Hernandez, E. 2011. Global solutions for abstract impulsive neutral differential equations. Mathematical and Computer Modelling 53: 196–204. Hernández, E., and D. O’Regan. 2013. On a new class of abstract impulsive differential equation. Proceedings of the American Mathematical Society 141: 1641–1649. Hiai, F., and H. Umegaki. 1977. Integrals conditional expectation and martingales of multivalued functions. Journal of Multivariate Analysis 7: 149–182. Kamenskii, M., V. Obukhowskii, and P. Zecca. 2001. Condensing multivalued maps and semilinear differential inclusions in Banach spaces. Berlin: de Gruyter. Kisielewicz, M. 1991. Differential inclusions and optimal control. Dordrecht: Kluwer. Kumar, A., M. Malik, and M. Sakthivel. 2018. Controllability of the second order nonlinear differential equations with non-instantaneous impulses. Journal of Dynamical and Control Systems 24: 325–342. Liang, J., J.H. Liu, and T.-J. Xiao. 2008. Nonlocal problems for integrodifferential equations. Dynamics of Continuous, Discrete and Impulsive Systems. Series A 15: 815–824. Li, Q., L. Liu, and M. Wei. 2021. Existence of positive S-asymptotically periodic solutions of the fractional evolution equations in ordered Banach spaces. Nonlinear Analysis: Modelling and Control 26 (5): 928–946. Li, Q., L. Liu, and M. Wei. 2021. S-asymptotically periodic solutions for time-space fractional evolution equation. Mediterranean Journal of Mathematics 18 (4): 1–21. Lizama, C., and G.M. N’Guérékata. 2010. Bounded mild solutions for semilinear integro-differential equations in Banach spaces. Integral Equations and Operator Theory 68 (2): 207–227. Myshkis, A.S. 1967. Sytems with impulsive at fixed moments of time. Matematicheskii Sbornik 74: 202–208. Ma, X., X.B. Shu, and J. Mao. 2020. Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay. Stochastics and Dynamics 20 (01): 2050003. Nadeem, M.D., and J. Dabas. 2017. Existence results for mild solution for a class of impulsive fractional stochastic problems with nonlocal conditions. Nonlinear Dynamics and Systems Theory 17 (4): 376–387. Nicola, S., and M. Pierri. 2009. A note on \(S\)-asymptotically \(\omega\)-periodic functions. Nonlinear Analysis 10 (5): 2937–2938. Oueama-Guengai, E.R., and G.M. N’Guérékata. 2018. On \(S\)-asymptotically \(\omega\)-periodic and Bloch periodic mild solutions to some fractional differential equations in abstract spaces. Mathematical Methods in the Applied Sciences 41 (18): 9116–9122. Pierri, M., and D. O’regan. 2015. S-asymptotically \(\omega\)-periodic solutions for abstract neutral differential equations. Electronic Journal of Differential Equations 210: 1–14. Shu, X., F. Xu, and Y. Shi. 2015. S-asymptotically \(\omega\)-positive periodic solutions for a class of neutral fractional differential equations. Applied Mathematics and Computation 270: 768–776. Wang, J., and X. Li. 2014. Periodic boundary value problems for integer/fractional order differential equations with not-instantaneous impulse. Journal of Applied Mathematics and Computing 46: 321–334. Wei, M., and Q. Li. 2022. Existence and uniqueness of S-asymptotically periodic \(\alpha\)-mild solutions for neutral fractional delayed evolution equation. Applied Mathematics Journal of Chinese Universities 37 (2): 228–245. Yan, Z., and X. Jia. 2014. Impulsive problems for fractional partial neutral functional integrodifferential inclusions with infinite delay and analytic resolvent operators. Mediterranean Journal of Mathematics 11: 393–428.