Tau method for the numerical solution of a fuzzy fractional kinetic model and its application to the oil palm frond as a promising source of xylose

Abstract

Please cite this article in press as: A. Ahmadian et al., Tau method for the numerical solution of a fuzzy fractional kinetic model and its application to the Oil Palm Frond as a promising source of xylose, J. Comput. Phys. (2015), http://dx.

A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

“…Finally, [25] demonstrates the capability of the developed numerical methods for fuzzy fractional-order problemscin terms of accuracy and stability analysis. Ahmadian et al [72] have dealt with the application of FFDEs to model and analyze a kinetic model of diluted acid hydrolysis under uncertainty as follows. When water is added to the Hemicellulose xylane, Xylose is formed through the hydrolysis reaction.…”

Fractional Calculus: D’où Venons-Nous? Que Sommes-Nous? Où Allons-Nous?

“…Despite of the fact that in many areas of science and engineering new and interesting results provided by the fractional models were reported and proved experimentally [1,62,4], still we are a little bit far from a solid answer to the above mentioned questions.…”

An Accurate Approximate-Analytical Technique for Solving Time-Fractional Partial Differential Equations

“…In short, the separation of variables can be portrayed as a tool to reduce a multidimensional problem to series of one-dimensional ones. It behaves similar to most of global numerical techniques for solving complex models arising in real-world systems [28][29][30][31]. This urges us to exploit the powerful properties of the separation-variables method for solving FPDEs as well as reducing the difficulty of working with fractional derivatives.…”