# Time Fractional FreeFem++ Code of Heat equation

**URL:** <https://community.freefem.org/t/time-fractional-freefem-code-of-heat-equation/3721>\
**Category:** General Discussion\
**Created:** [January 31, 2025, 8:08pm UTC](https://community.freefem.org/t/time-fractional-freefem-code-of-heat-equation/3721 "2025-01-31T20:08:33Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![Monirul25](https://yyz2.discourse-cdn.com/flex030/user_avatar/community.freefem.org/monirul25/32/3287_2.png) [@Monirul25](https://community.freefem.org/u/Monirul25)\
**Post date:** [January 31, 2025, 8:08pm UTC](https://community.freefem.org/t/time-fractional-freefem-code-of-heat-equation/3721/1 "2025-01-31T20:08:34Z")

</div>

Hello, dear all, i am trying time fractional of Heat equation in FreeFem++. I am very beginner to this topic.  
Here, is my code\>  
[Heat\_Frac.edp](https://community.freefem.org/uploads/short-url/5Hn55cZq5JMS45hOjOk3jhRoL1K.edp) (2.8 KB)

**Caputo fractional derivative** of order \alpha = \frac{1}{2}  
 ![image](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/2X/3/3ab5ba5a2d4db054cdb9f1d36d3b8a192e2b45d9.png)

 ![image](https://canada1.discourse-cdn.com/flex030/uploads/freefem/original/2X/0/09ab6cec60b0e5a1e29d06d12d44b109f1d75274.png)

**Optimized Error is coming in my code.** I don’t know why. Let me know please if anyone get any errors in it.  
Thanks in advance.