Iqbal, Muhammad QamarHussain, AzharEtemad, SinaRezapour, ShahramBaleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-11-102025-09-182022-11-102025-09-182021Baleanu, Dumitru...et al. (2021). "On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property", Advances in Difference Equations, Vol. 2021, No. 1.1687-1847https://doi.org/10.1186/s13662-021-03356-2https://hdl.handle.net/20.500.12416/14624Etemad, Sina/0000-0002-1574-1800; Rezapour, Shahram/0000-0003-3463-2607; Hussain, Azhar/0000-0003-4501-9269The main intention of this article is that new techniques of existence theory are used to derive some required criteria pertinent to a given fractional multi-term problem and its inclusion version. In such an approach, we do our research on a fractional integral equation corresponding to the mentioned BVPs. In more precise words, by virtue of this integral equation, we construct new operators which belong to a special category of functions named alpha-admissible and alpha-psi-contraction maps coupled with operators having (AEP)-property. Next, by considering some new properties on the existing Banach space having properties (B) and (C-alpha), our argument for ensuring the existence of solutions is completed. In addition, we also add two simulative examples to review our findings by a numerical view.eninfo:eu-repo/semantics/openAccessAlpha-Admissible MappingsAlpha-Psi-Contractions(Aep)-PropertyExistence CriterionThe Sequential OperatorArticle10.1186/s13662-021-03356-22-s2.0-85104019210