Sentence examples for fractional version from inspiring English sources

We prove a fractional version, using a topological tool called "d-collapsibility".

Their accuracy is of order (Δx 2 and Δt, except for the fractional version of the Crank Nicholson method, where the accuracy with respect to the timestep is of order (Δt 2 if a second-order approximation to the fractional time-derivative is used.

In [5], Dahmani presented the following fractional version of Theorem 2.13.

The proposed numerical application is a fractional version of an example proposed in [17].

Zhao and Sun also considered a fractional version of the Cattaneo equation with variable coefficient [25].

A non-local version of these equations are properly described by the fractional version of them.

Following different approaches, three scholars the 19th-century Russian physiologist Ivan Mikhailovich Sechenov; the American founder of behaviourism, John B. Watson; and Piaget independently arrived at the conclusion that the activities that serve as elements of thinking are internalized or "fractional" versions of motor responses.

(b) Local fractional versions of the Korteweg-de Vries equation.

A natural continuation of this work would be to study the problems involving partial differential equations with non-constant coefficients and their fractional versions, which could provide a better description of the phenomena related to those equations.

In this paper, we state and prove a new discrete q-fractional version of the Gronwall inequality.

In [40], which is probably the first paper in this subject, the current authors have established a discrete q-fractional version of the Gronwall inequality.