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Common Stock, Stock Options and Warrants (Details) - Schedule of Determining the fair Value of Stock Option Grants
Sep. 30, 2024
Sep. 30, 2023
Risk-free interest rate [Member] | Minimum [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 4.62 1.05
Risk-free interest rate [Member] | Minimum [Member] | Citius Oncology [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 4.66 4.11
Risk-free interest rate [Member] | Maximum [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 4.66 2.94
Risk-free interest rate [Member] | Maximum [Member] | Citius Oncology [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 4.66 4.11
Expected dividend yield [Member] | Minimum [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 0 0
Expected dividend yield [Member] | Minimum [Member] | Citius Oncology [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 0 0
Expected dividend yield [Member] | Maximum [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 0 0
Expected dividend yield [Member] | Maximum [Member] | Citius Oncology [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 0 0
Expected term [Member] | Minimum [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 5.5 6.5
Expected term [Member] | Minimum [Member] | Citius Oncology [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 6.5 5.96
Expected term [Member] | Maximum [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 10 10
Expected term [Member] | Maximum [Member] | Citius Oncology [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 6.5 5.96
Expected volatility [Member] | Minimum [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 85 94
Expected volatility [Member] | Minimum [Member] | Citius Oncology [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 87 91
Expected volatility [Member] | Maximum [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 86 110
Expected volatility [Member] | Maximum [Member] | Citius Oncology [Member]    
Schedule of Determining the fair Value of Stock Option Grants [Line Items]    
fair value of stock option grants 87 91