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Common Stock, Stock Options and Warrants (Details) - USD ($) |  |  |  |  | 3 Months Ended | 6 Months Ended |  |  |  |
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Jan. 07, 2025 | Nov. 15, 2024 | Nov. 07, 2024 | Oct. 10, 2023 | Mar. 31, 2025 | Mar. 31, 2024 | Dec. 31, 2023 | Mar. 31, 2025 | Mar. 31, 2024 | Sep. 30, 2024 | Aug. 02, 2024 | Apr. 29, 2023 | Nov. 05, 2020
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock authorized |  |  |  |  | 16,000,000 |  |  | 16,000,000 |  | 16,000,000 |  |  |
Bid price per share (in Dollars per share) |  |  |  |  | $ 1 |  |  | $ 1 |  |  |  |  |
Fair value of common stock issued (in Dollars) |  |  |  |  |  | $ 98,079 | $ 76,146 |  |  |  |  |  |
Shares of common stock |  |  |  |  | 4,254,478 |  |  | 4,254,478 |  |  |  |  |
Warrants issued (in Dollars) |  | $ 104,000 |  |  | $ 138,000 |  |  | $ 138,000 |  |  |  |  |
Gross proceeds percentage |  | 7.00% |  |  |  |  |  | 7.00% |  |  |  |  |
Weighted average grant date fair value of options granted (in Dollars per share) |  |  |  |  |  |  |  | $ 7.15 |  |  |  |  |
Exercisable option vested period |  |  |  |  |  |  |  | 36 months |  |  |  |  |
Stock-based compensation expense (in Dollars) |  |  |  |  | $ 2,702,031 | 3,078,392 |  | $ 5,226,855 | $ 6,136,577 |  |  |  |
Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Exercise price of warrants (in Dollars per share) | $ 3.91 | $ 6.25 |  |  | $ 5.0438 |  |  | $ 5.0438 |  |  |  |  |
Maturity date | Jan. 08, 2030 |  |  |  |  |  |  |  |  |  |  |  |
Warrants issued (in Dollars) | $ 2,091,000 |  |  |  |  |  |  |  |  |  |  |  |
Common shares reserved |  |  |  |  | 4,254,478 |  |  | 4,254,478 |  |  |  |  |
Expire term |  |  |  |  | 3 years 1 month 6 days |  |  | 3 years 1 month 6 days |  |  |  |  |
Stock Option [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Contractual term for vesting period |  |  |  |  |  |  |  | 10 years |  |  |  |  |
Term of options outstanding |  |  |  |  |  |  |  | 10 years |  |  |  |  |
Unrecognized total compensation (in Dollars) |  |  |  |  | $ 2,671,679 |  |  | $ 2,671,679 |  |  |  |  |
2014 Stock Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common shares reserved |  |  |  |  | 34,667 |  |  | 34,667 |  |  |  |  |
Options outstanding |  |  |  |  | 18,484 |  |  | 18,484 |  |  |  |  |
Options shares were exercised |  |  |  |  |  |  |  | 2,318 |  |  |  |  |
Options to purchase shares forfeited |  |  |  |  |  |  |  | 13,865 |  |  |  |  |
2018 Omnibus Stock Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common shares reserved |  |  |  |  | 80,000 |  |  | 80,000 |  |  |  |  |
Options outstanding |  |  |  |  | 67,200 |  |  | 67,200 |  |  |  |  |
Options shares were exercised |  |  |  |  |  |  |  | 4,667 |  |  |  |  |
Options to purchase shares forfeited |  |  |  |  |  |  |  | 3,733 |  |  |  |  |
2020 Omnibus Stock Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Options outstanding |  |  |  |  | 4,400 |  |  | 4,400 |  |  |  |  |
2020 Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common shares reserved |  |  |  |  | 124,400 |  |  | 124,400 |  |  |  |  |
Options outstanding |  |  |  |  | 66,000 |  |  | 66,000 |  |  |  |  |
Options to purchase shares forfeited |  |  |  |  |  |  |  | 18,200 |  |  |  |  |
2021 Omnibus Stock Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Options outstanding |  |  |  |  | 1,400 |  |  | 1,400 |  |  |  |  |
2021 Stock Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common shares reserved |  |  |  |  | 349,600 |  |  | 349,600 |  |  |  |  |
Options outstanding |  |  |  |  | 330,000 |  |  | 330,000 |  |  |  |  |
Options to purchase shares forfeited |  |  |  |  |  |  |  | 18,200 |  |  |  |  |
2023 Omnibus Stock Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Options outstanding |  |  |  |  | 1,400 |  |  | 1,400 |  |  |  |  |
2023 Stock Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common shares reserved |  |  |  |  | 481,400 |  |  | 481,400 |  |  |  |  |
Options outstanding |  |  |  |  | 359,400 |  |  | 359,400 |  |  |  |  |
Options to purchase shares forfeited |  |  |  |  |  |  |  | 4,000 |  |  |  |  |
Option granted shares |  |  |  |  |  |  |  | 118,000 |  |  |  |  |
Employees Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Option granted shares |  |  | 158,000 |  |  |  |  |  |  |  |  |  |
Directors Stock Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Option granted shares |  |  | 25,000 |  |  |  |  |  |  |  |  |  |
Consultant Stock Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Option granted shares |  |  | 2,000 |  |  |  |  |  |  |  |  |  |
Consultant per share (in Dollars per share) |  |  | $ 9.5 |  |  |  |  |  |  |  |  |  |
Citius Oncology plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common shares reserved |  |  |  |  |  |  |  |  |  |  |  | 15,000,000 |
Contractual term for vesting period |  |  |  |  |  |  |  | 10 years |  |  |  |  |
Term of options outstanding |  |  |  |  |  |  |  | 10 years |  |  |  |  |
Unrecognized total compensation (in Dollars) |  |  |  |  | $ 12,304,857 |  |  | $ 12,304,857 |  |  |  |  |
Recognized over a weighted average period |  |  |  |  |  |  |  | 1 year 7 months 20 days |  |  |  |  |
Price per share (in Dollars per share) |  |  |  |  |  |  |  | $ 0.8 |  |  |  |  |
Stock-based compensation expense (in Dollars) |  |  |  |  | $ 2,088,572 | 1,957,000 |  | $ 3,897,050 | 3,874,000 |  |  |  |
Citius Oncology plan [Member] | Stock Option [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Recognized over a weighted average period |  |  |  |  |  |  |  | 1 year 7 months 20 days |  |  |  |  |
NoveCite plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Exercise price of warrants (in Dollars per share) |  |  |  |  | $ 0.24 |  |  | $ 0.24 |  |  |  |  |
Common shares reserved |  |  |  |  |  |  |  |  |  |  |  |  | 2,000,000
Options outstanding |  |  |  |  | 1,911,500 |  |  | 1,911,500 |  |  |  |  |
Term of options outstanding |  |  |  |  |  |  |  | 5 years 10 months 20 days |  |  |  |  |
Available for future grants |  |  |  |  | 88,500 |  |  | 88,500 |  |  |  |  |
Vested option term |  |  |  |  |  |  |  | 10 years |  |  |  |  |
Stock-based compensation expense (in Dollars) |  |  |  |  |  | $ 13,858 |  |  | $ 33,716 |  |  |  |
2024 Omnibus Stock Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common shares reserved |  |  |  |  |  |  |  |  |  |  | 15,000,000 |  |
At the Market Offering Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Net proceeds (in Dollars) |  |  |  |  |  |  |  | $ 808,640 |  |  |  |  |
Sold shares |  |  |  |  |  |  |  | 289,910 |  |  |  |  |
Gross proceeds (in Dollars) |  |  |  |  |  |  |  | $ 839,468 |  |  |  |  |
Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock shares issued |  |  |  | 4,351 |  |  |  |  |  |  |  |  |
Common Stock [Member] | Investor [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Fair value of common stock issued (in Dollars) |  |  |  | $ 76,146 |  |  |  |  |  |  |  |  |
Common Stock Offerings [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Direct offering shares | 743,496 | 480,000 |  |  |  |  |  |  |  |  |  |  |
Shares of common stock |  | 33,600 |  |  |  |  |  |  |  |  |  |  |
Gross proceeds (in Dollars) | $ 3,000,000 | $ 3,000,000 |  |  |  |  |  |  |  |  |  |  |
Net proceeds (in Dollars) | $ 2,657,167 | $ 2,574,051 |  |  |  |  |  |  |  |  |  |  |
Offering price (in Dollars per share) | $ 4.035 | $ 6.25 |  |  |  |  |  |  |  |  |  |  |
Exercise price of warrants (in Dollars per share) |  | $ 7.8125 |  |  |  |  |  |  |  |  |  |  |
Maturity date |  | Nov. 15, 2029 |  |  | Jan. 07, 2030 |  |  | Jan. 07, 2030 |  |  |  |  |
Warrants purchase | 743,496 |  |  |  |  |  |  |  |  |  |  |  |
Purchase shares common stock |  |  |  |  |  |  |  | 52,045 |  |  |  |  |
Common Stock Offerings [Member] | Investor [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Shares of common stock |  | 480,000 |  |  |  |  |  |  |  |  |  |  |
Maturity date |  | Nov. 19, 2029 |  |  |  |  |  |  |  |  |  |  |
Warrants issued (in Dollars) |  | $ 1,575,000 |  |  |  |  |  |  |  |  |  |  |
Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock authorized |  |  |  |  | 400,000,000 |  |  | 400,000,000 |  |  |  |  |
Term of options outstanding |  |  |  |  |  |  |  | 36 months |  |  |  |  |
Maximum [Member] | Citius Oncology plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Vesting period |  |  |  |  |  |  |  | 36 months |  |  |  |  |
Minimum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock authorized |  |  |  |  | 16,000,000 |  |  | 16,000,000 |  |  |  |  |
Term of options outstanding |  |  |  |  |  |  |  | 12 months |  |  |  |  |
Minimum [Member] | Citius Oncology plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Stock Options and Warrants [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |
Vesting period |  |  |  |  |  |  |  | 12 months |  |  |  |  |

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