Sentence examples for most fractional differential from inspiring English sources

But most fractional differential equations [4, 5] do not have exact analytic solutions [6, 7].

However, the analytic solutions of most fractional differential equations generally cannot be obtained.

However, most fractional differential equations are very difficult to exactly solve, so numerical and approximation techniques have to be used.

However, most fractional differential equations describing real-world problems are highly complicated and cannot sometime be handled via analytical methods.

It is well known that most fractional differential equations do not have exact analytic solutions, so approximation and numerical techniques must be used.

However, most fractional differential operators do not have a variational structure, for example, the operator (D^{alpha} alphanotinmathbb{N})), so the variational method cannot be applied.

One of the most important fractional differential equation is the fractional advection-diffusion equation (FADE).

In general, most of the fractional differential equations have no exact solutions.

Much progress has been made by implementing several numerical methods to approximate the solutions of such problems since most fractional and functional differential equations have no exact solutions, see [1 4].

Unfortunately, most of the fractional differential equations systems do not have exact analytic solutions, therefore approximation and numerical techniques must be applied for obtaining the solution of such systems.

To date, most solution techniques for fractional differential equations have exploited the properties of the Fourier and Laplace transforms to confirm a classical solution.