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Stock-Based Compensation (Details) - Schedule of Stock-Based Compensation Expense - USD ($) | 12 Months Ended
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Sep. 30, 2024 | Sep. 30, 2023
Schedule of Stock-Based Compensation Expense [Line Items] |  |
Total stock-based compensation expense | $ 1,344,476 | $ 1,105,457
Selling, general and administrative [Member] |  |
Schedule of Stock-Based Compensation Expense [Line Items] |  |
Total stock-based compensation expense | 1,064,819 | 905,108
Research and development [Member] |  |
Schedule of Stock-Based Compensation Expense [Line Items] |  |
Total stock-based compensation expense | $ 279,657 | $ 200,349

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