Geometric meaning of conformable derivative via fractional cords

Volume 19, Issue 4, pp 241--245 http://dx.doi.org/10.22436/jmcs.019.04.03

Publication Date: June 19, 2019 Submission Date: April 25, 2019 Revision Date: May 28, 2019 Accteptance Date: May 31, 2019

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Authors

Roshdi Khalil - Department of Mathematics, The University of Jordan, Amman, Jordan. Mohammed AL Horani - Department of Mathematics, The University of Jordan, Amman, Jordan. Mamon Abu Hammad - Department of Mathematics, Zaytoonah University, Amman, Jordan.

Abstract

In this paper, we answer the question that many researchers did ask us about: "what is the geometrical meaning of the conformable derivative?". We answer the question using the concept of fractional cords. Fractional orthogonal trajectories are also introduced. Some examples illustrating the concepts of fractional cords and fractional orthogonal trajectories are given.

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ISRP Style

Roshdi Khalil, Mohammed AL Horani, Mamon Abu Hammad, Geometric meaning of conformable derivative via fractional cords, Journal of Mathematics and Computer Science, 19 (2019), no. 4, 241--245

AMA Style

Khalil Roshdi, AL Horani Mohammed, Abu Hammad Mamon, Geometric meaning of conformable derivative via fractional cords. J Math Comput SCI-JM. (2019); 19(4):241--245

Chicago/Turabian Style

Khalil, Roshdi, AL Horani, Mohammed, Abu Hammad, Mamon. "Geometric meaning of conformable derivative via fractional cords." Journal of Mathematics and Computer Science, 19, no. 4 (2019): 241--245

Keywords

Fractional derivatives
fractional cords
orthogonal fractional trajectory

MSC

34G10
34A55

References

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