Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives

<table>HAM solution with <svg height="34.025002" id="M97" style="vertical-align:-9.65068pt" version="1.1" viewbox="0 0 40.349998 34.025002" width="40.349998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q-14 98 -31 149.5t-50 51.5q-49 0 -94 -70t-45 -164q0 -55 15.5 -86t40.5 -31q70 0 164 150z" id="x1D6FC"></path></g><g transform="matrix(.017,-0,0,-.017,14.426,21.937)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g>
<g transform="matrix(1.25,0,0,-1.25,90,90)">
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<g transform="matrix(.017,-0,0,-.017,30.637,33.963)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
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International Journal of Differential Equations

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Figure 3

Figure 3: Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives 