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Stock-Based Compensation (Details) - USD ($)
3 Months Ended 6 Months Ended
Jan. 01, 2025
Nov. 09, 2023
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Sep. 30, 2024
Oct. 31, 2021
Stock-Based Compensation [Line Items]                
Granted shares     51,075 65,000 51,075 1,225,669    
Grant date fair value of options granted (in Dollars per share)     $ 0.98 $ 0.91 $ 0.98 $ 1.08    
Total share based expenses (in Dollars)     $ 250,170 $ 356,858 $ 589,394 $ 665,496    
Stock Options [Member]                
Stock-Based Compensation [Line Items]                
Total share based expenses (in Dollars)     $ 128,378 $ 214,188 $ 331,332 $ 401,619    
Stock options outstanding     2,865,171   2,865,171   2,814,096  
Stock options vested     109,535 48,295 503,965 104,911    
Stock options forfeited     0 0 0 55,000    
Restricted Stock Units (RSUs) [Member]                
Stock-Based Compensation [Line Items]                
Total share based expenses (in Dollars)     $ 121,792 $ 142,670 $ 258,062 $ 263,877    
Restricted stock units granted     83,334 1,006,725 83,334 1,006,725    
Weighted average grant date fair value (in Dollars per share)     $ 1.2 $ 1.03 $ 1.2 $ 1.03    
Restricted stock units vest     288,548 32,535 326,358 70,214    
Restricted stock units forfeited          
Minimum [Member] | Stock Options [Member]                
Stock-Based Compensation [Line Items]                
Share-based compensation granted, vesting period         12 months      
Maximum [Member] | Stock Options [Member]                
Stock-Based Compensation [Line Items]                
Share-based compensation granted, vesting period         48 months      
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   570,350            
2017 Plan and Evergreen Provision [Member]                
Stock-Based Compensation [Line Items]                
Option plan shares 1,124,446              
2025 Inducement Plan [Member]                
Stock-Based Compensation [Line Items]                
Shares available for future issuance     4,477,630   4,477,630      
Unrecognized stock-based compensation (in Dollars)     $ 1,934,234   $ 1,934,234      
Share-based compensation expected to be recognized, term         2 years 3 months 18 days      
Common Stock [Member] | 2025 Equity Incentive Plan [Member]                
Stock-Based Compensation [Line Items]                
Authorized to issue shares in future         3,000,000