On the n-ary variable-order alpha(t)-derivative calculus (or (n, alpha(t))-VOC)

Authors

  • Akbar Dehghan nezhad School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846 -13114, Iran.
  • Arezoo Moslemi Gadhikolaeia

DOI:

https://doi.org/10.30495/jme.v15i0.2120

Keywords:

alpha (t)-derivative, (n, alpha(t))-VOC, fractional calculus.

Abstract

In this paper, we generalize the definition of an $n$-ary variable-order alpha(t)-derivative of multi-variable vector-valued functions. We develop the concepts in this new alpha(t)-derivative calculus. We will touch only a few aspects of the theory. Finally, the fundamental theorems ( Chain Rule, Mean Value ) on (n, alpha(t))-VOC are investigated.

Author Biography

Akbar Dehghan nezhad, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846 -13114, Iran.

Dr. Akbar Dehghan Nezhad
Associate Professor of Pure Mathematics
Geometry and TopologySchool of Mathematics, Iran University of Science and Technology,
Narmak, Tehran 16846 -13114, Iran.E-mail: dehghannezhad@iust.ac.ir and akbar.dehghan@gmail.comhttps://www.genealogy.math.ndsu.nodak.edu/id.php?id=162262

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Published

2022-07-19

Issue

Vol. 15

Section

Vol. 15, No. 5, (2021)

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