This research demonstrates a new analytical solution for time-fractional diffusion equations, suggesting improvements in applying ADM with boundary and initial conditions.
This article deals with the fractional derivative operators related to the heat equation. Used the Adomian Decomposition Method (ADM) and fraction calculus to get the analytical solution. A modification of ADM is proposed that combines boundary conditions with initial condition to get a new initial solution at each iteration. Some illustrative examples were presented.
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Mathpati et al. (2025) studied this question.
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