Abstract fractional difference inclusions

Kostic, Marko; Koyuncuoğlu, Halis Can; Velinov, Daniel

doi:https://doi.org/10.4213/im9611

Abstract fractional difference inclusions

Journal

Известия Российской академии наук. Серия математическая

Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya

Date Issued

2025

Author(s)

Kostic, Marko

Koyuncuoğlu, Halis Can

DOI

https://doi.org/10.4213/im9611

Abstract

In this paper, we consider various classes of the abstract fractional difference inclusions with Weyl fractional derivatives and Riemann–Liouville fractional derivatives. We also provide some new results about the well-posedness of abstract integer-order difference inclusions with Euler forward operators, paying a special attention to the analysis of the existence and uniqueness of
almost periodic and almost automorphic type solutions to abstract fractional difference inclusions.