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Assuming that f is differential and β -differentiable the on the opened interval (a, b ), then (7) D 0 A x β f x M = x + 1 Γ β 1 − β lim h → 0 f x + h − f x h.
Assuming that f is differential and β -differentiable on the opened interval (a, b ), then (4) D 0 A x β (f (x ) ) = (x + 1 Γ 1 − β lim h → 0 f (x + h ) − f (x ) h.
Assuming that f is differential and β-differentiable on the opened interval (a, b), then (4) D 0 A x β (f (x ) ) = (x + 1 Γ 1 − β lim h → 0 f (x + h ) − f (x ) h. Definition 2 (see [ 16 ]).
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