On Some Existence and Uniqueness Results for a Class of Equations of Order 0<α≤1 on Arbitrary Time Scales

Abdourazek Souahi; Assia Guezane-Lakoud; Rabah Khaldi

doi:10.1155/2016/7327319

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Home > Journals > Int. J. Differ. Equ. > Volume 2016 > Article

2016 On Some Existence and Uniqueness Results for a Class of Equations of Order

0<\alpha \le 1

on Arbitrary Time Scales

Abdourazek Souahi, Assia Guezane-Lakoud, Rabah Khaldi

Int. J. Differ. Equ. 2016: 1-8 (2016). DOI: 10.1155/2016/7327319

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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.

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Abdourazek Souahi. Assia Guezane-Lakoud. Rabah Khaldi. "On Some Existence and Uniqueness Results for a Class of Equations of Order $0<\alpha \le 1$ on Arbitrary Time Scales." Int. J. Differ. Equ. 2016 1 - 8, 2016. https://doi.org/10.1155/2016/7327319