Analytical study of conformable fractional Bohr Hamiltonian with Kratzer potential

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 $Z\left(5\right)$ 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 $B\left(E2\right)$ 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.