International Journal of Differential Equations

On Some Existence and Uniqueness Results for a Class of Equations of Order $0<\alpha \le 1$ on Arbitrary Time Scales

Abstract

This paper investigates the existence and uniqueness of solution for a class of nonlinear fractional differential equations of fractional order $0<\alpha \le 1$ in arbitrary time scales. The results are established using extensions of Krasnoselskii-Krein, Rogers, and Kooi conditions.

Article information

Source
Int. J. Differ. Equ., Volume 2016 (2016), Article ID 7327319, 8 pages.

Dates
Accepted: 9 June 2016
First available in Project Euclid: 21 December 2016

https://projecteuclid.org/euclid.ijde/1482352583

Digital Object Identifier
doi:10.1155/2016/7327319

Mathematical Reviews number (MathSciNet)
MR3534135

Zentralblatt MATH identifier
1354.34024

Citation

Souahi, Abdourazek; Guezane-Lakoud, Assia; Khaldi, Rabah. On Some Existence and Uniqueness Results for a Class of Equations of Order $0&lt;\alpha \le 1$ on Arbitrary Time Scales. Int. J. Differ. Equ. 2016 (2016), Article ID 7327319, 8 pages. doi:10.1155/2016/7327319. https://projecteuclid.org/euclid.ijde/1482352583

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