In order to address time-dependent faults in software systems, this work presents a novel Imperfect Debugging Software Reliability Growth Model for time dependent faults. Recognizing the intrinsic flaws in debugging procedures, the suggested model provides a sophisticated method of evaluating software reliability. This show that the model captures the intricate dynamics of time-dependent errors through rigorous empirical validation and analytical examination. This innovative SRGM represents a significant advancement in software reliability growth modelling with imperfect debugging techniques and has great potential to improve the reliability and efficiency of real-world software systems.