Sentence examples for Further fractional from inspiring English sources

Further, fractional differential equations have wide applications in engineering and science.

Further, fractional order PD (FOPD) and fractional order PI (FOPI) controllers are implemented by using non-integer order operators in conventional PD and PI controllers.

Further fractional single and multi-time Hamiltonian formulation has been developed by Baleanu and coworkers [38].

Further, fractional release of TGFβ1 was increased when the peptide concentration in the monomer formulation was increased.

Between any two whole numbers a further fractional or decimal number may always be inserted, and this may go on indefinitely: between 10 and 11, 10 102 (10.25, 10 1/4 (10.25), 10 1/8 (10.125), and so on.

Further, the fractional order and rate constant values are almost similar for every concentration in both the dyes.

Further, the fractional order (n A) and rate constant (K A) values are almost similar for every concentration in both the dyes.

Finally, design examples are demonstrated to illustrate the performance of the proposed method and some further improvement using fractional delay is also discussed.

Using several real world examples, we further argue that, fractional order control is ubiquitous when the dynamic system is of distributed parameter nature.

For further details on fractional derivatives and integrals; see [2 5].

It is hoped that our work will provide motivation for further results for fractional q-symmetric quantum calculus.