Hi Majid azad,
I understand you want to solve fractional PDE in MATLAB.
To solve the given fractional PDE in MATLAB, you will need to use numerical methods specifically designed for fractional derivatives. Unfortunately, MATLAB does not have built-in functions for fractional derivatives, so you will need to implement these definitions yourself or use available packages such as FDE12.
FDE12 is available as part of the File Exchange submission. You can download and add it to your MATLAB path and use it as a normal function.
For more information about the functions available, you can refer to the File Exchange submission:
Thank you.