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Stock-Based Compensation (Details) - USD ($) | 3 Months Ended | 9 Months Ended
--- | --- | ---
Jun. 30, 2020 | Jun. 30, 2019 | Jun. 30, 2020 | Jun. 30, 2019
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |
Total share-based compensation | $ 383,683 | $ 232,088 | $ 1,503,141 | $ 421,285
General and administrative [Member] |  |  |  |
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |
Total share-based compensation | 291,545 | 169,658 | 1,351,003 | 310,763
Research and development [Member] |  |  |  |
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |
Total share-based compensation | $ 92,138 | $ 62,430 | $ 152,138 | $ 110,522

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