New analytical solutions of the conformable fractional Bohr Hamiltonian appropriate for triaxial nuclei, involving the Kratzer potential in β-part of the collective nuclear potential and the steep harmonic oscillator in γ-part, are developed. The analytical expressions for energy spectra and wave functions are derived using a new algorithm of the conformable fractional Nikiforov-Uvarov method. The relationship between the conformable fractional spectra of the Kratzer potential and the spectrum of the $\mathrm{Z}(5)$ model is discussed. The evolution of the spectra in correspondence with the fractional derivative order and the potential parameters is investigated. The normalized calculated spectra and $B(\mathrm{E}2)$ transition rates are compared with the available experimental data and the existing theoretical predictions from various models. The predictions produced well the experimental data for ^{120,126,128,130}Xe, ^192,194,196Pt, and ^112,114,116Pd.

开发了适用于三轴核的适形分数玻尔哈密顿量的新解析解，涉及集体核势的β部分的 Kratzer势和γ部分的陡谐振子。能量谱和波函数的解析表达式是使用符合分数Nikiforov-Uvarov方法的新算法推导出来的。Kratzer 势的适形分数谱与$\mathrm{Z}(5)$模型进行了讨论。研究了与分数阶导数和潜在参数相对应的光谱演变。归一化的计算光谱和$乙(\mathrm{乙}2)$将转换率与可用的实验数据和来自各种模型的现有理论预测进行比较。这些预测很好地产生了^{120,126,128,130} Xe、^192,194,196 Pt 和^112,114,116 Pd的实验数据。