On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property
Advances in Difference Equations, cilt.2021, sa.1, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2021 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.1186/s13662-021-03356-2
- Dergi Adı: Advances in Difference Equations
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Anahtar Kelimeler: (AEP)-property, Existence criterion, The sequential operator, α-admissible mappings, α-ψ-contractions
- Uşak Üniversitesi Adresli: Hayır
Özet
The 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.