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In this work, we define fractional derivative of order ? > 0, with no restrictions on the domain of the function, and give its geometry. We derive some rules and… Click to show full abstract
In this work, we define fractional derivative of order ? > 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.
Keywords:
new approach;
fractional differential;
differential equations;
order;
approach;
approach fractional
Journal Title: Thermal Science
Year Published: 2023
Link to full text (if available)
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Journal Title: Thermal Science
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!