# Solution of Multi-order Fractional Differential Equation Based on Conformable Derivative by Shifted Legendre Polynomial

• Salim S. Mahmood Department of Mathematic, Faculty of Science, Soran University, Kurdistan Region, Iraq‎
• Kamaran J. Hamad Department of Mathematic, Faculty of Science, Soran University, Kurdistan Region , Iraq
• ‎Milad A. kareem Department of Mathematic, Faculty of Science, Soran University, Kurdistan Region , Iraq
• Asrin F. Shex Information Technology Department, Erbil Polytechnic University, Kurdistan Region, Iraq
Keywords: conformable derivative, fractional derivative, shifted Legendre polynomial, fractional deferential equation, python program

### Abstract

The aim of this article is the way for finding approximation solution of multi-order fractional differential equation with conformable sense with use approximated function by shifted Legendre polynomial, the method is easy and powerful for get our results of the linear and non-linear equation, the background idea behind this method is finding system of algebra after achieving messing variable is that mean obtain approximate solution, a few examples illustrates for presented how much our method is capable.

### References

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Published
2021-12-20
How to Cite
1.
Mahmood S, Hamad K, kareem‎, Shex A. Solution of Multi-order Fractional Differential Equation Based on Conformable Derivative by Shifted Legendre Polynomial. cuesj [Internet]. 20Dec.2021 [cited 18Aug.2022];5(2):64-8. Available from: https://journals.cihanuniversity.edu.iq/index.php/cuesj/article/view/478
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Research Article