Closed Form Boundary Feedback for the Time Fractional Order Partial Integro Differential Equations

Authors

  • Ibtisam Kamil Hanan Department of Mathematics and Computer Applications, College of Science, Al‐Nahrain University, P. O. Box 47077, Baghdad, Iraq.

Abstract

This paper focuses on the application of backstepping control scheme for the time fractional order partial integro differential equation (FPIDE). The fractional derivative is presented by using Caputo fractional derivative. We show how the FPIDE is converted into a Mittag‐Leffler stability by designing invertible coordinate transformation. Numerical simulation is used to demonstrate the effectiveness of the proposed control scheme.

Keywords:

time fractional order, partial integro, differential equation

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Published

2017-12-31

How to Cite

Ibtisam Kamil Hanan. (2017). Closed Form Boundary Feedback for the Time Fractional Order Partial Integro Differential Equations. Applied Mathematics and Computational Intelligence (AMCI), 6, 63–72. Retrieved from https://ejournal.unimap.edu.my/index.php/amci/article/view/187

Issue

Vol. 6 (2017): December (2017)

Section

Articles