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2012 Fractional Complexified Field Theory from Saxena-Kumbhat Fractional Integral, Fractional Derivative of Order ($\alpha, \beta$) and Dynamical Fractional Integral Exponent
A. R. El-Nabulsi, C. G. Wu
Afr. Diaspora J. Math. (N.S.) 13(2): 45-61 (2012).

Abstract

Fractional complexified field theory based on Saxena-Kumbhat fractional integrals with the presence of fractional derivative of order $(\alpha, \beta )$and dynamical fractional exponent is considered. Some interesting results are explored and discussed in some details.

Citation

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A. R. El-Nabulsi. C. G. Wu. "Fractional Complexified Field Theory from Saxena-Kumbhat Fractional Integral, Fractional Derivative of Order ($\alpha, \beta$) and Dynamical Fractional Integral Exponent." Afr. Diaspora J. Math. (N.S.) 13 (2) 45 - 61, 2012.

Information

Published: 2012
First available in Project Euclid: 2 November 2012

zbMATH: 1267.49037
MathSciNet: MR3006752

Subjects:
Primary: 49S05
Secondary: 37K05

Keywords: complexification , dynamical fractional exponent , fractional action-like variational approach , fractional derivative , fractional Euler-Lagrange equations , hypergeometric function , Saxena-Kumbhat fractional integral

Rights: Copyright © 2012 Mathematical Research Publishers

Vol.13 • No. 2 • 2012
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