1Neha,2Dr. Anita Dahiya
1Assistant Professor, Department of Applied Sciences and Humanities, Panipat Institute of Engineering and Technology, Panipat-132101, Haryana, India
2Professor, Department of Applied Sciences and Humanities, Panipat Institute of Engineering and Technology, Panipat-132101, Haryana, India
DOI : https://doi.org/10.47191/ijmra/v5-i8-07Google Scholar Download Pdf
ABSTRACT:
We are motivated to work on this topic by some research papers dealing with fractional derivatives. Using the notion of Conformable Fractional Derivative provided in R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh [5], we prove certain relevant features of Fractional Gradient, Divergence, and Curl in this study.
KEYWORDS:Conformable Fractional Derivative; Fractional Calculus; Fractional Differential Equations; Fractional gradient, divergence, curl.
REFERENCES
1) K.S. Miller, An Introduction to Fractional Calculus and Fractional Differential Equations, J. Wiley and Sons, New York, 1993.
2) K. Oldham, J. Spanier, “The Fractional Calculus, Theory and applications of Differentiation and integration of arbitrary order”, Academic Press, USA, 1974.
3) A. Kilbas, H. Srivastva, J. Trujillo, “Theory and Applications of Fractional Differential Equations”, in: Math. Studies., North Holland, New York, 2006.
4) I. Podlubny, “Fractional Differential Equations” Academic Press, USA, 1999.
5) R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh, “A New Definition of Fractional Derivative” Journal of Computational and Applied Mathematics, volume 264, pp. 65-70, 2014.
6) M. Mhailan, M. Abu Hammad, M. Al Horani, R. Khalil, “On Fractional Vector Analysis” J. Math. Comput Sci. 10 (2020), No. 6, 2320-2326.
Volume 05 Issue 08 August 2022
There is an Open Access article, distributed under the term of the Creative Commons Attribution – Non Commercial 4.0 International (CC BY-NC 4.0) (https://creativecommons.org/licenses/by-nc/4.0/), which permits remixing, adapting and building upon the work for non-commercial use, provided the original work is properly cited.
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