Estimates of higher order fractional derivatives at extreme points


Authors

Mohammed Al-Refai - Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al Ain, UAE. Dumitru Baleanu - Department of Mathematics and Computer Science, Cankaya University, 06530 Ankara, Turkey. - Institute of Space Sciences, Magurele-Bucharest, Romania.


Abstract

We extend the results concerning the fractional derivatives of a function at its extreme points to fractional derivatives of arbitrary order. We also give an estimate of the error and present two examples to illustrate the validity of the results. The presented results are valid for both Caputo and Riemann-Liouville fractional derivatives.


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ISRP Style

Mohammed Al-Refai, Dumitru Baleanu, Estimates of higher order fractional derivatives at extreme points, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5174--5181

AMA Style

Al-Refai Mohammed, Baleanu Dumitru, Estimates of higher order fractional derivatives at extreme points. J. Nonlinear Sci. Appl. (2017); 10(10):5174--5181

Chicago/Turabian Style

Al-Refai, Mohammed, Baleanu, Dumitru. "Estimates of higher order fractional derivatives at extreme points." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5174--5181


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