A Result on Solvability of Some Fractional Integro-differential Equations in Abstract Spaces
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası:
- Basım Tarihi: 2019
- Doi Numarası: 10.1007/s41980-019-00306-3
- Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- İnönü Üniversitesi Adresli: Evet
Özet
This paper concerns with a class of fractional integro-differential equations in the space of continuous functions which defined on interval [0, a] and take values in a Banach space E. Using a generalized Darbo fixed-point theorem associated with measure of noncompactness, the existence of solutions has been established. Also an example which shows that the main result is applicable is given.