The phrase "a fractional version of" is correct and usable in written English.
It can be used when describing a part or a smaller representation of something larger, often in mathematical or conceptual contexts.
Example: "The artist created a fractional version of the original sculpture to make it more accessible for public display."
Alternatives: "a partial version of" or "a scaled-down version of".
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].
Ferreira [17] established a fractional version of inequality (1.2) for a fractional boundary value problem involving the Riemann-Liouville fractional derivative of order (1
Ferreira [18] established a fractional version of inequality (1.2) for a fractional boundary value problem involving the Caputo fractional derivative of order (1
For example, (1) provides a fractional version of the Verhlust-Pearl equation (see Scudo [46], p.5), where (h(x)=lambda x^{2}), for some (lambdain mathbb{R}).
Recently, many mathematicians have become interested in a fractional version of (1.1), i.e., when the derivative is replaced by a fractional derivative like Riemann-Liouville derivative or Caputo derivative; see [5 10].
The main purpose of this paper is to present the mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis and to structure a local fractional version of the Schrödinger equation.
We prove a fractional version, using a topological tool called "d-collapsibility".
Recently in [1] the authors proposed an approach to the fractional version of the Sturm-Liouville problem.
A non-local version of these equations are properly described by the fractional version of them.
Thus the fractional version of the hyperchaotic Lü system is given by { D ∗ α x = a ( y − x + y z ), D ∗ α y = − x z + b y + w, D ∗ α z = x y − c z, D ∗ α w = − d x, (2.12).
