Sentence examples for extended proposed from inspiring English sources

We give the main steps of the modified extended proposed algebraic method for nonlinear partial fractional differential equations.

In this paper, we will improve the extended proposed algebraic method to solve the nonlinear partial fractional differential equations.

As a next step, five additional locations are chosen to be monitored and the extended proposed scheme is defined and validated.

In this section, we construct some new Jacobi elliptic exact solutions of some nonlinear partial fractional differential equations via the time-space fractional nonlinear KdV equation and the time-space fractional nonlinear Zakharov-Kunzetsov-Benjamin-Bona-Mahomy equation using the modified extended proposed algebraic method which has been paid attention to by many authors.

Results (location, geometry and degree of stability of blocks) with the different methods are seen to agree, suggesting that the extended proposed methodology can be applied to get valuable results in the process of identifying unstable blocks in rock masses around engineering structures.

In this article we constructed the Jacobi elliptic exact solutions for the nonlinear partial fractional differential equations with the help of the complex fractional transformation and the improved extended proposed algebraic method.

In comments on Radio National on Tuesday, Di Natale extended the proposed ban to all donations from foreign, corporate and third-party entities.

This work will need to be replicated and extended for proposed gene drives seeking to alter other species (3, 4).

We have extended the proposed scheme to the system of quasi-linear parabolic equations.

Finally, we extended our proposed reliability degrees in a sequential discounting approach.

To that end we applied and extended previously proposed approaches [6], [7].