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On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property.
- Source :
- Advances in Difference Equations; 4/7/2021, Vol. 2021 Issue 1, p1-24, 24p
- Publication Year :
- 2021
-
Abstract
- 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 (C α) , 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- SPECIAL functions
INTEGRAL equations
BANACH spaces
CONTRACTIONS (Topology)
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2021
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 149691830
- Full Text :
- https://doi.org/10.1186/s13662-021-03356-2