Sentence examples for This fractional from inspiring English sources

This fractional differential equation corresponds to the Basset problem [9].

This fractional power transfer gives us the refractive index of the medium.

This fractional integral is well defined if, for example, (fin L^{1}(0,T)).

This fractional derivative is invariant with respect to dilation on the whole axis.

This fractional variational principle is based on the Riesz-type fractional derivatives.

This fractional relation can be realized physically through hierarchical arrangements and in the limit of an infinite number of springs and dashpots [2].

This fractional behavior is frequently attributed throughout literature to the complex internal structure and electrochemical processes of the super-capacitors [9, 20].

This fractional Ginzburg-Landau equations can be viewed as a generalization of the integral differential equations proposed by Machida and Koyama (Phys. Rev. A 74 033603, 2006).

This fractional system of equations is obtained by replacing a derivative term by a fractional derivative of order α > 0. The integer order model reported in [2] is given as.

This fractional derivative differs from the other ones in the sense that the kernel of the integral (in the definition of the Hadamard derivative) contains a logarithmic function of an arbitrary exponent.

This fractional derivative differs from the other ones in the sense that the kernel of the integral (in the definition of Hadamard derivative) contains logarithmic function of arbitrary exponent.