Abstract :

This paper deals with the solutions of fuzzy fractional nuclear decay equations (FNDEs) under Caputo Hdifferentiability by Reproducing Kernel Hilbert Space Method (RKHSM). The equations were reformulated under the influence of fuzzy logic. The Residual Power Series has been applied in solving differential equations with fuzzy initial conditions. This method is illustrated by solving two examples. The solution method has shown high efficiency and accuracy in the case of comparison with the exact solution and anothermethod.