Undetermined coefficients for local fractional differential equations
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Authors
Roshdi Khalil
- Department of Mathematics, The University of Jordan, Amman, Jordan.
Mohammed Al Horani
- Department of Mathematics, Faculty of Science, University of Hail, Saudi Arabia.
Douglas Anderson
- Department of Mathematics, Concordia College , Moorhead, MN, USA.
Abstract
We discuss the method of undetermined coefficients for fractional differential equations, where we use the (local) conformable fractional derivative presented in [R. Khalil, M. Al Horani, A. Yousef,
M. Sababheh, J. Comput. Appl. Math., 264 (2014), 65--70]. The concept of fractional polynomials,
fractional exponentials and fractional trigonometric functions is introduced. A method similar to the
case of ordinary differential equations is established to find a particular solution for nonhomogenous
linear fractional differential equations. Some other results are presented.
Share and Cite
ISRP Style
Roshdi Khalil, Mohammed Al Horani, Douglas Anderson, Undetermined coefficients for local fractional differential equations, Journal of Mathematics and Computer Science, 16 (2016), no. 2, 140--146
AMA Style
Khalil Roshdi, Horani Mohammed Al, Anderson Douglas, Undetermined coefficients for local fractional differential equations. J Math Comput SCI-JM. (2016); 16(2):140--146
Chicago/Turabian Style
Khalil, Roshdi, Horani, Mohammed Al, Anderson, Douglas. "Undetermined coefficients for local fractional differential equations." Journal of Mathematics and Computer Science, 16, no. 2 (2016): 140--146
Keywords
- Conformable fractional
- derivative
- fractional integral
- fractional differential equation
- undetermined coefficients
MSC
References
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