ABSTRACT: The crystallinity of wheat starch in two types of flat breads was studied using Differential Scanning Calorimetery. Three types of flours with different proteins of 9.4, 11.6 and 13.5% were prepared and two different types of flat breads with thicknesses of 2 and 3 millimeters were baked from each flour. The crystallization enthalpy (∆H), peak temperature (Tp) and onset point temperat...

This paper is devoted to the study of the flatness property of linear time-invariant differential systems of fractional systems. We give two characterizations of fractionally flat outputs and algorithms to compute them. We then present an application to a two dimensional thermal system that we approximate by a fractional model of order 1 2 , that is fractionally flat. Trajectory planning of the...

Recent progress of theories and applications regarding statistical models with generalized exponential functions in statistical science is giving an impact on the movement to deform the standard structure of information geometry. For this purpose, various representing functions are playing central roles. In this paper, we consider two important notions in information geometry, i.e., invariance ...

Online digital delivery allows the music companies to un-bundle their music albums and offer individual songs to the consumers. Consumers differ in their valuations of singles. A seller might now know the exact consumer valuations but there are resources available that would offer reliable information about consumer population. We develop a stylized model to investigate whether these song singl...

Fractional calculus has been used to model the physical and engineering processes that have found to be best described by fractional differential equations. For that reason, we need a reliable and efficient technique for the solution of fractional differential equations. The aim of this paper is to present an analytical approximation solution for linear and nonlinear multi-order fractional diff...

this paper presents a class of theoretical and iterative method for linear partial differential equations. an algorithm and analytical solution with a initial condition is obtained using the reduced differential transform method. in this technique, the solution is calculated in the form of a series with easily computable components. there test modeling problems from mathematical mechanic, physi...

In Finsler geometry, there are infinitely many models of constant curvature. The Funk metrics, the Hilbert-Klein metrics and the Bryant metrics are projectively flat with non-zero constant curvature. A recent example constructed by the author is projectively flat with zero curvature. In this paper, we introduce a technique to construct non-projectively flat Finsler metrics with zero curvature i...

In this article, the problem of an incompressible viscous flow over a flat plate is presented. The homotopy perturbation method (HPM) is employed to solve the well-known Blasius nonlinear differential equation. It has been tried to use a new technique by which one be able to obtain solutions that are very close to the exact solution of the equation. The obtained results have been compared with ...