In this paper, we study a singular fractional $2D$ nonlinear system. We investigate the existence and uniqueness of solutions in addition to the existence of at least one solution by means of Schauder fixed point theorem, and the contraction mapping principle. Moreover, we define and study the Ulam-Hyers stability and the generalized Ulam-Hyers stability of solutions for such systems. Some applications are presented to illustrate our main results.
Caputo derivative fixed point singular fractional differential equation existence and uniqueness generalized Ulam-Hyers stability.
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Ekim 2019 |
Gönderilme Tarihi | 1 Aralık 2018 |
Kabul Tarihi | 12 Haziran 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 7 Sayı: 2 |