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Stock-Based Compensation (Details) - USD ($)
 3 Months Ended 9 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total stock-based services expense $ 232,088 $ 119,510 $ 421,285 $ 373,947
General and Administrative Expense [Member]        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total stock-based services expense 169,658 115,000 310,763 367,000
Research and Development Expense [Member]        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total stock-based services expense $ 62,430 $ 4,510 $ 110,522 $ 6,947