Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative

A El-Ajou, MN Oqielat, Z Al-Zhour, S Kumar… - … Journal of Nonlinear …, 2019 - pubs.aip.org
In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations
(PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed.
Three types of TFND partial differential equations are considered in the sense of CFD, which
are the TFND Boussinesq, TFND Klein-Gordon, and TFND B (2, 1, 1) PDEs. Solitary pattern
solutions for this class of TFND partial differential equations based on the residual fractional
power series method is constructed and discussed. Numerical and graphical results are also …
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