Аннотация:
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.
Ключевые слова:
abstract fractional difference inclusions, abstract integer-order difference inclusions, almost periodic type solutions.
This research is partially supported by grant 174024 of Ministry of Science and Technological Development, Republic of Serbia and Bilateral project between MANU and SANU.
Поступило в редакцию: 03.06.2024 Исправленный вариант: 26.12.2024
Образец цитирования:
M. Kostić, H. C. Koyuncuoğlu, D. Velinov, “Abstract fractional difference inclusions”, Изв. РАН. Сер. матем., 89:6 (2025), 85–104; Izv. Math., 89:6 (2025), 1163–1181