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

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