Universal Journal of Physics and Application Vol. 10(3), pp. 84 - 89
DOI: 10.13189/ujpa.2016.100305
Reprint (PDF) (131Kb)

Fractional Integral and Derivative of the 1/r Potential

Ehab Malkawi ^*
Department of Physics, United Arab Emirates University, UAE

ABSTRACT

We calculate the fractional integral and derivative of the potential 1/r for all values of the fractional order −1 < α ≤ 0 and α ≥ 0. We show that the result has the same form for all values of α. Applications can be implemented to discuss deformed potential fields resulting from fractional mass or charge densities in gravity and electrostatics problems. The result can also be applied to modify the inverse-square law gravity as predicted by new physics.

KEYWORDS
Fractional Calculus, Riemann-Liouville Fractional Derivative, Gravity, Inverse-square Law

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ehab Malkawi , "Fractional Integral and Derivative of the 1/r Potential," Universal Journal of Physics and Application, Vol. 10, No. 3, pp. 84 - 89, 2016. DOI: 10.13189/ujpa.2016.100305.

(b). APA Format:
Ehab Malkawi (2016). Fractional Integral and Derivative of the 1/r Potential. Universal Journal of Physics and Application, 10(3), 84 - 89. DOI: 10.13189/ujpa.2016.100305.