A new approach to fractional differential equations
Date
2023Item Type
ArticleAbstract
In this work, we define fractional derivative of order ς > 0, with no restrictions on the domain of the function, and give its geometry. We derive some rules and properties for the proposed new approach and show that if fractional order converges to an integer order, then each rule converges to the corresponding rule of derivative under this integer. On applications side we show that it has ability to convert various type of FDE to ODE and vice versa. Finally, we solve several FDE given in literature through the new approach.
Author
Alrabaiah, Hussam
Hussain, Sultan
Awan, Abdul Sami
Zeb, Anwar
Shah, Kamal
Abdeljawad, Thabet