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Discrete fractional solutions of radial Schrodinger equation for Makarov potential

机译:Makarov电位径向施罗德格方程的离散分数解

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The fractional calculus that is a theory of integral and derivative with arbitrary order is an important subject of applied mathematics. This theory has extensive usage fields in science and engineering. Discrete mathematics, the study of finite structures, is one of the fastest growing areas in mathematics and optimization. Recently, many considerable scientific works were published on fractional calculus and discrete fractional calculus (DFC). The purpose of this paper is to obtain discrete fractional solutions of radial Schrodinger equation for Makarov potential by means of nabla DFC operator. Moreover, we introduce hypergeometric forms of these solutions.
机译:具有任意顺序的积分和衍生物理论的分数微积分是应用数学的重要主题。 该理论在科学和工程中具有广泛的使用领域。 离散数学,有限结构的研究是数学和优化中最快的发展领域之一。 最近,在分数微积分和离散分数微积分(DFC)上公布了许多相当大的科学作品。 本文的目的是通过Nabla DFC操作员获得Makarov电位的径向Schrodinger方程的离散分数解决方案。 此外,我们介绍了这些解决方案的超高度形式。

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