Baleanu, DumitruBaleanu, DumitruIqbal, Muhammad QamarHussain, AzharEtemad, SinaRezapour, Shahram2022-11-102022-11-102021Baleanu, 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. 1.1687-1839https://hdl.handle.net/20.500.12416/5852The 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 α-admissible and α-ψ-contraction maps coupled with operators having (AEP)-property. Next, by considering some new properties on the existing Banach space having properties (B) and (Cα) , 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. © 2021, The Author(s).eninfo:eu-repo/semantics/openAccess(AEP)-PropertyExistence CriterionThe Sequential OperatorΑ-Admissible MappingsΑ-Ψ-ContractionsArticle2021110.1186/s13662-021-03356-2