IJPAM: Volume 107, No. 4 (2016)

TOTAL AND DIRECTIONAL FRACTIONAL DERIVATIVES

A. Tallafha$^1$, S. Al Hihi$^2$
$^1$Department of Mathematics
The University of Jordan
Amman, JORDAN
Department of Mathematics
Al-Balqa Applied University
Al-Salt, JORDAN


Abstract. Vector calculus is an important subject in mathematics with applications in all areas of applied sciences. Till now researchers deal with the partial fractional derivative as the fractional derivative with respect to $x$, $y$,....

In this paper we shall define total and directional fractional derivative of functions of several variables, we set some basics about fractional vector calculus then we use our definition to modify the definition of conformal fractional derivative obtained by R. Khalil et al [6].

Received: October 18, 2015

AMS Subject Classification: 26A33

Key Words and Phrases: fractional derivative, conformal fractional derivative, total fractional derivative, directional fractional derivative

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DOI: 10.12732/ijpam.v107i4.21 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 4
Pages: 1037 - 1051


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