Sentence examples for derivative by a from inspiring English sources

These equations can be obtained from the standard advection diffusion equations by replacing the second order spatial derivative by a fractional operator of order α with 1<α≤2.

It substitutes the classical derivative by a quantum difference operator which allows to deal with sets of nondifferentiable functions.

The method is based on approximating a sixth-order mixed derivative by a series of Haar wavelet basis functions.

One of the possible generalizations of Langevin equation is to replace the ordinary derivative by a fractional derivative in it.

It substitutes the classical derivative by a difference operator, which allows one to deal with sets of nondifferentiable functions.

Quantum calculus allows us to deal with sets of non-differentiable functions by substituting the classical derivative by a difference operator.

Finally, the experimental assay of an organic chemical (a furylethylene derivative) by an in vivo test permits us to carry out an assessment of the model.

In 2004 El-Shahed and Salem [6] have proposed the generalized NSE by simply replacing the first-order time derivative term by a derivative of fractional order but still retaining the first- and second-order space derivatives.

In [6, 7], the authors generalized Gâteaux derivative by employing a fractional discrete operator for a Jumarie fractional operator.

Since we define the total derivative by taking a limit as 'v' goes to zero, f ′('a') must be a linear transformation.

In pursuit of this, we have successfully prepared and characterized new thiadiazole-based bis-Schiff-bases and triazole derivatives by a combination of quaternization, heterocyclization, Schiff-base strategies.