Fractional differential equations with an approximate solution using the natural variation iteration method
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Keywords:
Fractional differential equations; Variation iteration method, Natural transform; Caputo fractional operators.Abstract
The fractional natural variation iteration analysis is used in this study to analyze partial differential equations using the Caputo fractional operator (FNVIM). The FNVIM approach, which is a type of fractional Variation iteration with the natural transform, is used to generate the approximate analytical solutions. Illustrative scenarios show off the great accuracy and fast convergence of this innovative technique. The results show that the suggested approach may be used to solve nonlinear fractional differential equations. Furthermore, we show that FNVIM is more effective, transparent, and accurate in handling a large class of nonlinear equations utilizing the Caputo fractional operator, which makes it extremely valuable in physics and engineering.
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