The modification of the Clarke generalized subdiNerentia1 due to Michel and Penot is a useful tool in determining differentiability properties for certain classes of real functions on a normed linear space. The Glteaux differentiability of any real function can be deduced from the GBteaux differentiability of the norm if the function has a directional derivative which attains a constant related...

This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.

In this study, a derivative method is applied for the determination of dye concentration in fabrics dyed with tricomponent dye mixtures. The reflectance of spectra of the samples were recorded between 400 and 700 nm. Initially, the obtained (K/S) spectra were divided by the spectrum of a standard sample dyed with two of the components in the ternary mixture and the derivative spectra were calcu...

Recent works have focused the analysis of chaotic phenomena in fractional discrete memristor. However, most papers been related to simulated results on system dynamics rather than their hardware implementations. This work reports implementation a new memristor map with “hidden attractors”. The is developed based memristive by using Grunwald–Letnikov difference operator. has flexible fixed point...

This paper is a comparative study of the multiple RC, Oustaloup and Grünwald–Letnikov approaches for time domain implementations fractional-order battery models. The comparisons are made in terms accuracy, computational burden suitability identification impedance parameters from time-domain measurements. was performed simulation framework focused on set ZARC elements, representing middle freque...

two sensitive spectrophotometric methods are presented for the assay of repaglinide in bulkdrug and in formulations using methyl orange, as reagents. oxidant by reacting with a fixedamount of either methyl orange and measuring the absorbance at 485.2 nm (method-i) andmeasuring the absorbance at 618.9 nm (method-ii). developed method is based on the formationof extractable colored complex of dru...

In this paper, we establish the existence and uniqueness result of the linear Schrodinger equation with Marchaud fractional derivative in Colombeau generalized algebra. The purpose of introducing Marchaud fractional derivative is regularizing it in Colombeau sense.

in this paper, we establish the existence and uniqueness result of the linear schrodinger equation with marchaud fractional derivative in colombeau generalized algebra. the purpose of introducing marchaud fractional derivative is regularizing it in colombeau sense.

Abstract This paper presents an unified mathematical and computational framework for mechanics-coupled “anomalous” transport phenomena in porous media. The anomalous diffusion is mainly due to variable fluid flow rates caused by spatially temporally varying permeability. type of behaviour described a fractional pore pressure equation. transient significantly affected the order operators. In sol...