Sentence examples for for this fractional from inspiring English sources

In [38], some subordination results have been derived for this fractional operator.

The number of bits for this fractional part defines the computational accuracy.

Some properties and examples for this fractional derivative operator was given.

In Section 2, we obtain two representations for this fractional derivative operator in terms of the classical Riemann-Liouville fractional operator.

end{aligned}As a result (E_{alpha } left( frac{(pi _{alpha } )^{alpha } }{2} right)) is the multiplier for this fractional differential equation.

The operation bandwidth for this fractional delay filter becomes ω ∈ - π + π M, π - π M. K m = e j 2 π M mτ, f or m ≠ M 2 1 2 K M / 2 - 1 + K M / 2 + 1, f or m = M 2 (13).

The operational matrix of fractional integration for this fractional-order basis is derived.

For this fractional-order nonlinear system, the fractional-order extension of Lyapunov direct method has been proposed, which is obtained as follows [26].

In this study, we present a numerical method for solving this fractional Richards equation.

end{aligned} The proposed FSLPs collocation method is implemented for solving this fractional Bagley-Torvik equation.

end{aligned} The FSLPs basis and its fractional operational matrix have been applied for solving this fractional Bagley-Torvik equation.