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The results from the literature are compared with one another by means of a general form of semi-empirical correlation.
Moreover, we add to the model several original features such as the consideration of a general form of synaptic profile with exponential decay or the introduction of noise.
In this paper a method for the numerical solution of distributed order FDEs (fractional differential equations) of a general form is presented.
In this section, we consider the higher-order linear PDE with variable coefficients of a general form ∑ i = 0 p ∑ j = 0 r q i, j ( x, y ) u ( i, j ) ( x, y ) = f ( x, y ), − ∞ < x, y < ∞ (3.1).
The direct method for solving difference equations and an iterative method for solving the grid equations of a general form and their application to difference equations are considered in [11, 12].
First we consider system of a general form and estimate its solutions by use of a solution of an auxiliary scalar difference inequality assuming that this solution admits certain properties.
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In Section 3, we prove the existence and uniqueness of solution for a general form of the interval fractional integral equation and use this result to investigate the existence and uniqueness results of solutions for problem (1.1).
In the sequel we recall some generalized fixed point theorem in partially ordered space (see [32]) that will be used in the next section to analyze the existence of solutions for a general form of the interval fractional integral equation.
The proposed method, when applied to a general form of the telegrapher equation, is also shown to be unconditionally stable.
To describe precisely the chemo-mechanical coupling behavior of hydrogels, a general form of free energy density function is presented by considering chain entanglements and functionality of junctions.
A scheme for investigating the stability of the harmonic balance stationary solutions of such a general form is developed on the basis of the Floquet theorem.
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