Analysis of the Y.J variation iteration Method

الملخص

     In this research introduced a new framework to solve the   fractional differential equations(FDEs) by using the Variation Iteration Method (HVIM) and Yasser Jassim Transform. Moreover the results obtained using this proposed method is very similar to that obtained using other strategies.  .This methodology is employed to derive approximate analytical for solving Caputo fractional derivative. To establish the validity and efficacy of the current strategy, the solutions to three selected illustrative examples are presented and thoroughly analyzed. The findings obtained through the proposed method are comprehensively reviewed. The results consistently demonstrate that the (FHVIM) exhibits high efficiency, robust reliability, and ease of implementation, making it a promising and suitable tool for application across a wide spectrum of related problems in science and engineering disciplines.