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This contribution introduces procedures for solving multi-term fractional differential equations governing fractional harmonic oscillators

This contribution introduces procedures for solving multi-term fractional differential equations governing fractional harmonic oscillators using multivariate Mittag-Leffler functions. Fractional differential equations with multiple terms pose challenges in solution methodologies, particularly in the context of fractional harmonic oscillators. Leveraging multivariate Mittag-Leffler functions offers a systematic approach to address these complexities. The use of these specialized functions provides an efficient framework for solving fractional differential equations, particularly those governing fractional harmonic oscillators.