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Common Stock, Stock Options and Warrants (Details) - USD ($)
3 Months Ended 6 Months Ended
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