Undetermined coefficients for local fractional differential equations

Volume 16, Issue 2, pp 140--146 http://dx.doi.org/10.22436/jmcs.016.02.02

Publication Date: June 15, 2016 Submission Date: January 11, 2016

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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.

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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

26A33

References

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