Sentence examples for complex transformed from inspiring English sources

In addition to geometry transformation, extensive modifications and interpretations are required to make the complex transformed model ready for analysis.

Many useful transforms for solving various problems appeared in open literature such as wave transformation, the Laplace transform, the Fourier transform, the Bücklund transformation, the integral transform, the local fractional integral transforms and the fractional complex transform (see [29, 30]).

Comparison between the fractional complex transform method, derived from modified R-L derivatives, and fractional complex transform via local fractional derivatives is investigated.

Proof By using the fractional complex transform (19), we obtain (22).

Furthermore, in a real case, (9) implies the fractional complex transform defined in [34].

Proof Applying the fractional complex transform method (19), we obtain the following three equations: (27) (27) (27).

and it is denoted by M X (s), where s=a+j b∈C is a complex transform variable.

In this section, we illustrate some fractional complex transform using properties of the Srivastava-Owa fractional operator and its generalization.

Fractional complex transform is to renovate the fractional differential equations into ordinary differential equations, yielding a tremendously simple solution procedure.

The heat conduction problem in fractal media was processed by the fractional complex transform within local fractional derivative [17].

Modified Riemann-Liouville derivative and Fractional complex transform have been used for compatibility with fractional order sense.