主题词：Nanoparticles: synthesis and applications; Fractional Differential Equations Solutions; Essential Oils and Antimicrobial Activity; Phytochemicals and Antioxidant Activities; Insect Pest Control Strategies; Computational Drug Discovery Methods; Diverse Scientific and Economic Studies; Human auditory perception and evaluation; Synthesis and biological activity; Nonlinear Waves and Solitons; Iterative Methods for Nonlinear Equations; Moringa oleifera research and applications; Natural Antidiabetic Agents Studies; Diverse Specialized Academic Research; Insect and Pesticide Research; Heavy metals in environment; Phytochemistry and Biological Activities; Nanofluid Flow and Heat Transfer; Advanced Nanomaterials in Catalysis; Medicinal Plants and Neuroprotection; Adsorption and biosorption for pollutant removal; Graphene and Nanomaterials Applications; Plant-Microbe Interactions and Immunity; Nonlinear Photonic Systems; Drug-Induced Hepatotoxicity and Protection