Sentence examples for basic properties of fractional from inspiring English sources

For the basic properties of fractional Sobolev spaces, we refer the interested reader to [8].

The following lemma concerning basic properties of fractional calculus is needed afterward.

For the basic properties of fractional Sobolev spaces, we refer to [18].

For the basic properties of fractional Sobolev spaces, we refer the readers to [12].

He provided some basic properties of fractional difference and summation, and established the theory symmetrical to the fractional differential equation.

For the basic properties of fractional Sobolev spaces and their applications to elliptic fractional problems, we refer the reader to [19, 20] and the references therein.

However, we point out that this approach is hard to apply an effect of memory which is the basic property of fractional differential equations.

A nice survey of basic properties of deterministic fractional differential equations is in Lakshmikantham and Vatsala [18].

On one hand we proceed to develop the theory of fractional difference calculus, namely we introduce the concepts of a right fractional sum and right fractional difference operators and prove some basic properties of a right fractional sum and right fractional difference operators.

Some basic properties of a right fractional sum and right fractional difference operators are proved.

The Caputo fractional derivative of a function is defined as (2.3). the following are two basic properties of the Caputo fractional derivative.