1-2 August 2017
- Lecture 1 & Lecture 2 : Dr Ali Ahmadian
Introduction to Fractional Calculus: Theory and Applications.
Fractional calculus is a branch of mathematical analysis that studies the possibility of taking noninteger order powers of the differentiation and/or integration operators. Even though the term ”fractional” is a misnomer, it has been widely accepted for a long time. The ability of the models, which contain fractional-order derivative in portraying some physical systems, attracted many mathematicians and scientists to describe dynamical behavior of real life phenomena more accurately than integer-order equations. In this workshop, different types of fractional derivatives are reviewed and fractional differential equations (FDEs) as on of the interesting branch of fractional calculus are considered. Besides, a number of applications of FDEs arising in Physical systems are illustrated.
Lecture 3 : Dr Asim Ghous
Current development on MAPLE software
- Introduction to comprehensive STEM online Courseware - – designed by Maple & Mobius
- Your contents your rules
- A whole list of available on-line courses
- A complete automated online testing and assessment systems
- What’s New in Maple 2017
- Ordinary differential equation/ modelling using Maple & MapleSim
- Partial Differential equations in Maple 2017
- Optimization and Global Optimisation using Maple 2017 and Global Optimisation Toolbox
- Parallel processing using Grids and Clusters in Maple 2017 Grid Computing toolbox.
- Lecture 4 & Lecture 5 : Assoc. Prof. Dr Norfifah Bachok
Stability Analysis of the Solutions
In order to determine the stability of the dual solutions obtained, a stability analysis is performed to show which solutions are stable and physically realizable by using the numerical computation, which is “bvp4c” function in MATLAB. The analysis was performed by solving an unknown eigenvalue. If the smallest eigenvalue is negative, there is an initial growth of disturbances and the flow is unstable; while when the smallest eigenvalue is positive, there is an initial decay and the flow is stable.
