WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 25, 2026
The Exact Solutions to the Nonlinear Caputo Multi-Fractional Differential Equations with Variable Coefficients Using the General Adomian Decomposition Method
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Abstract: This investigation presents the exact solution to a nonlinear Caputo multi-fractional differential equation
with variable coefficients via the General Adomian decomposition method. The proposed approach integrates the
Adomian decomposition technique with a general integral transformation, enabling its application to nonlinear
problems characterized by a wide range of nonlinear terms. Notably, the method yields exact solutions within
a few iterations, highlighting both the precision and computational efficiency of the approach. These findings
underscore the potential of the process for addressing complex nonlinear multi-fractional differential equations.
Keywords:
General Transform, Nonlinear Equation, Caputo Fractional Derivative, Exact Solution, Adomian
Polynomial
Pages: 260-268
DOI: 10.37394/23206.2026.25.26