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       Article History

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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