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The foam drainage equation with time and space-fractional derivatives solved by the adomian method. (English) Zbl 1181.26013
Summary: By introducing the fractional derivative in the sense of Caputo, we apply the Adomian decomposition method for the foam drainage equation with time and space-fractional derivative. As a result, numerical solutions are obtained in a form of rapidly convergent series with easily computable components.

MSC:
26A33 Fractional derivatives and integrals
35F25 Initial value problems for nonlinear first-order PDEs
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