Integration of Fractional Complex Transform with A-Transform and Adomian Decomposition Method for Solving Nonlinear Fractional Differential Equations
DOI:
https://doi.org/10.29304/jqcsm.2026.18.22687Keywords:
fractional differential equations(FDE),, Fractional complex transform(FCT), A-transform, fractional Relaxation Equation, fractional Riccati EquationAbstract
In this study, we investigated the possibility of integrating the fractional complex transform ( ) with the Aman transform This methodology was applied to several nonlinear fractional-order differential equations The illustrative examples, including the fractional relaxation equation and the fractional Riccati equation using the Adomian Decomposition Method The approach yielded accurate numerical solutions in a concise and efficient manner, highlighting the effectiveness of this integration in addressing complex mathematical models.
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