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Stock-Based Compensation (Details) - USD ($) |  |  | 3 Months Ended |  |
--- | --- | --- | --- | --- | ---
Jan. 01, 2024 | Nov. 09, 2023 | Dec. 31, 2024 | Dec. 31, 2023 | Sep. 30, 2024 | Oct. 04, 2021
Stock-Based Compensation [Line Items] |  |  |  |  |  |
Total share based expenses (in Dollars) |  |  | $ 339,224 | $ 308,638 |  |
Stock Options [Member] |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |
Granted shares |  |  | 0 | 1,160,669 |  |
Share-based compensation granted, vesting period |  |  | 48 months |  |  |
Grant date fair value of options granted (in Dollars per share) |  |  |  | $ 1.08 |  |
Total share based expenses (in Dollars) |  |  | $ 202,954 | $ 187,431 |  |
Stock options outstanding |  |  | 2,814,096 |  | 2,814,096 |
Stock options vested |  |  | 394,450 | 56,616 |  |
Stock options forfeited |  |  | 0 | 55,000 |  |
Restricted Stock Units (RSUs) [Member] |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |
Total share based expenses (in Dollars) |  |  | $ 136,270 | $ 121,207 |  |
Restricted stock units granted |  |  |  |  |  |
Restricted stock units vest |  |  | 37,809 | 37,679 |  |
Restricted stock units forfeited |  |  |  |  |  |
2017 Equity Incentive Plan and 2021 Inducement Plan [Member] |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |
Number of shares grants |  |  |  |  |  | 420,350
Shares available for future issuance |  |  | 297,461 |  |  |
Unrecognized stock-based compensation (in Dollars) |  |  | $ 2,034,404 |  |  |
Share-based compensation expected to be recognized, term |  |  | 2 years 7 months 6 days |  |  |
Amended Inducement Plan [Member] |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |
Number of shares issuance |  | 150,000 |  |  |  |
Number of shares authorized |  | 570,350 |  |  |  |
2017 Equity Incentive Plan [Member] |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |
Shares outstanding percentage |  |  | 13.00% |  |  |
Option plan shares | 1,051,556 |  |  |  |  |

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