Journal
OPTICAL AND QUANTUM ELECTRONICS
Volume 49, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/s11082-017-1178-1
Keywords
Time-fractional modified BBM equation; Time-fractional CH equation; Conformable derivative; Exp(-phi(epsilon)) method; Exact solutions
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Real-world phenomena often are modelled by the nonlinear fractional differential equations. In this work, a novel technique called the exp(-phi(epsilon)) method is employed to find the exact solutions of nonlinear FDEs. Some well-known time-fractional differential equations in the context of conformable derivative, viz. the time-fractional modified Benjamin-Bona-Mahony (BBM) equation and the time-fractional Cahn-Hilliard (CH) equation are considered to test the usefulness of the method. The utility of the expd (-phi(epsilon)) method in solving nonlinear FDEs is proved.
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