A new approach to fractional differential equations-Reference-Cited by-同舟云学术

A new approach to fractional differential equations

Published:2023 Issue:Spec. issue 1 Volume:27 Page:301-309
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Alrabaiah Hussam¹,Hussain Sultan²,Awan Sami²,Zeb Anwar²,Shah Kamal³,Abdeljawad Thabet⁴

Affiliation:

1. Department of Mathematics, Tafila Technical University, Tafila, Jordan + College of Engineering, Al Ain University, Al Ain, UAE

2. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Khyber Pakhtunkhwa, Pakistan

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia + Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan

4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia + Department of Medical Research, China Medical University, Taichung, Taiwan

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.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference18 articles.

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