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<p>In this paper, we present the Sakata-Taketani equation within the framework of conformable derivatives. We propose conformable Lagrangian and Hamiltonian densities that incorporate both temporal and spatial conformable derivatives, we have obtained exact analytical solutions for several important physical scenarios: the free Sakata-Taketani equation in both purely temporal conformable and full space-time conformable cases, the confined Sakata-Taketani particle in an infinite potential well with conformable spatial derivatives, and systems subject to power-law external potentials. The solutions reveal how conformable derivatives modify energy spectra, alter wavefunction distributions.</p>

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Analysis of Sakata-Taketani Equation with a conformable derivative

  • 期刊论文

  • 发表日期：

    2025年12月3日

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  • Souheib Merad,
  • Asma Merad

摘要

In this paper, we present the Sakata-Taketani equation within the framework of conformable derivatives. We propose conformable Lagrangian and Hamiltonian densities that incorporate both temporal and spatial conformable derivatives, we have obtained exact analytical solutions for several important physical scenarios: the free Sakata-Taketani equation in both purely temporal conformable and full space-time conformable cases, the confined Sakata-Taketani particle in an infinite potential well with conformable spatial derivatives, and systems subject to power-law external potentials. The solutions reveal how conformable derivatives modify energy spectra, alter wavefunction distributions.