Matematik Bölümü
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Browsing Matematik Bölümü by Subject "(Aep)-Property"
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Article Citation - WoS: 4Citation - Scopus: 4On Solutions of Fractional Multi-Term Sequential Problems Via Some Special Categories of Functions and (aep)-Property(Springer, 2021) Iqbal, Muhammad Qamar; Hussain, Azhar; Etemad, Sina; Rezapour, Shahram; Baleanu, Dumitru; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya ÜniversitesiThe 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.
