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The conformable time fractional forms of some partial differential equationsare solved in the study. The existence of chain rule and the derivative ofcomposite function enable the equations to be reduced to some ordinarydifferential equations by using some particular wave transformations. Themodified Kudryashov method implemented to derive the exact solutions for theBenjamin-Bona Mahony (BBM), the symmetric BBM and the equal width (EW)equations in the conformable fractional time derivative forms. The obtainedexplicit solutions are illustrated for some time fractional orders in theinterval $(0,1]$.

Exact Solutions to Some Conformable Time Fractional Equations in Benjamin-Bona-Mahony Family