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Stock-Based Compensation (Details) - USD ($) |  |  | 12 Months Ended |  |  |
--- | --- | --- | --- | --- | --- | ---
Jan. 01, 2025 | Nov. 09, 2023 | Sep. 30, 2025 | Sep. 30, 2024 | May 20, 2025 | Sep. 30, 2023 | Oct. 31, 2021
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Granted shares |  |  | 3,336,571 | 1,225,669 |  |  |
Grant date fair value of options granted (in Dollars per share) |  |  | $ 0.5 | $ 1.08 |  |  |
Total share based expenses (in Dollars) |  |  | $ 1,264,608 | $ 1,344,476 |  |  |
Aggregate intrinsic per share (in Dollars per share) |  |  | $ 0.89 | $ 0.99 |  |  |
Stock options outstanding |  |  | 6,083,167 | 2,814,096 |  | 1,708,427 |
Number of options exercised |  |  |  |  |  |  |
Stock Options [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Stock options expiration period |  |  | 10 years |  |  |  |
Total share based expenses (in Dollars) |  |  | $ 779,428 | $ 808,057 |  |  |
Stock options outstanding |  |  | 2,772,156 | 2,780,581 |  |  |
Stock options forfeited |  |  | 67,500 | 120,000 |  |  |
Equity Option [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Stock options vested |  |  | 810,476 | 289,072 |  |  |
Number of options exercised |  |  |  |  |  |  |
Restricted Stock Units (RSUs) [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Total share based expenses (in Dollars) |  |  | $ 485,180 | $ 536,419 |  |  |
Restricted stock units granted |  |  | 83,334 | 1,006,725 |  |  |
Restricted stock units, grant date fair value (in Dollars per share) |  |  | $ 1.2 | $ 1.03 |  |  |
Restricted stock units vest |  |  | 397,900 | 270,333 |  |  |
Restricted stock units forfeited |  |  | 2,500 | 0 |  |  |
Minimum [Member] | Stock Options [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Share-based compensation granted, vesting period |  |  | 1 year |  |  |  |
Maximum [Member] | Stock Options [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Share-based compensation granted, vesting period |  |  | 4 years |  |  |  |
2021 Inducement Plan [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Number of shares grants |  |  |  |  |  |  | 420,350
Amended Inducement Plan [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Number of shares issuance |  | 150,000 |  |  |  |  |
Number of shares authorized |  |  |  |  | 575,000 |  |
2017 Plan and Evergreen Provision [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Number of share added | 1,124,446 |  |  |  |  |  |
2025 Inducement Plan [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Shares available for future issuance |  |  | 1,761,970 |  |  |  |
Unrecognized stock-based compensation (in Dollars) |  |  | $ 2,869,224 |  |  |  |
Share-based compensation expected to be recognized, term |  |  | 3 years 2 months 12 days |  |  |  |
Common Stock [Member] | 2025 Equity Incentive Plan [Member] |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |
Authorized to issue shares in future |  |  | 3,000,000 |  |  |  |

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