As a result, many analytical exact solutions are obtained including symmetrical Fibonacci function solutions, hyperbolic function solutions, and rational solutions.
However, for the space-time fractional modified Benjamin-Bona-Mahony equation we have obtained new symmetrical hyperbolic Fibonacci function solutions with differences from the solutions obtained before [25].
We can easily conclude that symmetrical hyperbolic Fibonacci function solutions for the space-time fractional modified Benjamin-Bona-Mahony equation have not been reported in the previous studies.
However, the existing state of the art is lacking research regarding practical functioning solutions that would match Web application characteristics.
The exact particular solutions containing four types hyperbolic function solution, trigonometric function solution, exponential solution and rational solution.
The exact particular solutions containing five types hyperbolic function solution (exact soliton wave solution), trigonometric function solution (exact periodic wave solution), rational exponential solution (exact singular kink-type wave solution), logarithmic solution and rational solution (exact singular cupson wave solution).
The solutions (W_{s} z)) are in terms of the hyperbolic function solution.
For all the objective functions, solution x is not worse than another solution y.
The following example shows that (2) also has a transcendental entire function solution.
The following example shows that (2) has non-transcendental entire function solution.
