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Table Of Integrals Series And Products

Materials with nanoscopic dimensions not only have potential technological applications in areas such as device technology and drug delivery but also are of fundamental interest in that the properties of a material can change in this regime of transition between the bulk and molecular scales. In this article, a relatively new method for preparing nanomaterials, membrane-based synthesis, is reviewed. This method entails synthesis of the desired material within the pores of a nanoporous membrane. Because the membranes used contain cylindrical pores of uniform diameter, monodisperse nanocylinders of the desired material, whose dimensions can be carefully controlled, are obtained. This "template" method has been used to prepare polymers, metals, semiconductors, and other materials on a nanoscopic scale.

https://science.sciencemag.org/content/sci/266/5193/1961.full.pdf

Nanomaterials: a membrane-based synthetic approach.

Conducting-polymer-based supercapacitor devices and electrodes

Dynamic systems of an arbitrary real order (fractional-order systems) are considered. The concept of a fractional-order PI/sup /spl lambda//D/sup /spl mu//-controller, involving fractional-order integrator and fractional-order differentiator, is proposed. The Laplace transform formula for a new function of the Mittag-Leffler-type made it possible to obtain explicit analytical expressions for the unit-step and unit-impulse response of a linear fractional-order system with fractional-order controller for both open- and closed-loops. An example demonstrating the use of the obtained formulas and the advantages of the proposed PI/sup /spl lambda//D/sup /spl mu//-controllers is given.

Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

Recent progress in alkaline water electrolysis for hydrogen production and applications

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The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order

/pdf/an-atlas-of-functions-4rr2klsxul.pdf

Keith B. Oldham

Papers

The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order

An Atlas of Functions

A Gouy–Chapman–Stern model of the double layer at a (metal)/(ionic liquid) interface

An Atlas of Functions.

Fractional differential equations in electrochemistry