THE LINEAR SIGMA MODEL LAGRANGIAN DENSITY: FRACTIONAL FORMULATION

Amer D. Al-Oqali; Bashar M. Al-Khamiseh; Emad K. Jaradat; Ra’ed S. Hijjawi

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THE LINEAR SIGMA MODEL LAGRANGIAN DENSITY: FRACTIONAL FORMULATION

机译：线性SIGMA模型拉格朗日密度：分数公式

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In this paper, we reformulated the Linear Sigma Model Lagrangian density using fractional calculus by the left- right Riemann-Liouville fractional derivatives. We also determined fractional Euler-Lagrange and fractional Hamilto nian equations resulting from the Linear Sigma Model Lagrangian density. We found that the classical results are taken as a specific case of the fractional formulation for Euler-Lagrange and Hamiltonian equations.

机译：在本文中，我们使用分数演算通过左右黎曼-利维尔分数阶导数重新构造了线性西格玛模型拉格朗日密度。我们还确定了由线性Sigma模型拉格朗日密度得出的分数Euler-Lagrange和分数Hamilto nian方程。我们发现经典结果被作为Euler-Lagrange和Hamiltonian方程的分数公式的特殊情况。

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《Canadian Journal of Pure and Applied Sciences》 |2016年第1期|共5页
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Amer D. Al-Oqali; Bashar M. Al-Khamiseh; Emad K. Jaradat; Ra’ed S. Hijjawi;
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THE LINEAR SIGMA MODEL LAGRANGIAN DENSITY: FRACTIONAL FORMULATION

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