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Keywords
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Adomian polynomials, Fractional Fisher equation, Laguerre wavelets,
Operational matrix, Singular Emden–Fowler equation
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Abstract
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By using a nonlinear method, we try to solve partial fractional differential equations. In this way, we construct the Laguerre wavelets operational matrix of fractional integration. The method is proposed by utilizing Laguerre wavelets in conjunction
with the Adomian decomposition method. We present the procedure of implementation and convergence analysis for the method. This method is tested on fractional Fisher’s equation and the singular fractional Emden–Fowler equation. We
compare the results produced by the present method with some well-known results.
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