This article is cited in 1 paper

Abstract fractional difference inclusions

M. Kostić^a, H. C. Koyuncuoğlu^b, D. Velinov<sup>c

a</sup> Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia
^b Izmir Katip Celebi University, Department of Engineering Sciences, Izmir, Turkey
^c Department for Mathematics and Informatics, Faculty of Civil Engineering, Ss. Cyril and Methodius University of Skopje, Skopje, N. Macedonia

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.

Keywords: abstract fractional difference inclusions, abstract integer-order difference inclusions, almost periodic type solutions.

UDC: 517.9

MSC: 42A75, 43A60, 47D99

Received: 03.06.2024
Revised: 26.12.2024

Language: English

DOI: 10.4213/im9611

 English version: Izvestiya: Mathematics, 2025, 89:6, 1163–1181

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