Closed-Form Wave Solutions for The Conformable Time-Fractional Ito
Integro-Differential Equation
Abstract
Several classes of exact analytic solutions for the time-fractional
(2+1)-dimensional Ito equation are derived with the aid of Mathematica
package. The Kudryashov simple equation method and its modified version
are implemented to tackle the mentioned equation analytically. The
obtained soliton solutions have been expressed by Logarithmic,
Logarithmic-exponential, Logarithmic-periodic, and
Logarithmic-hyperbolic functions with a set of free parameters.
Graphical illustrations for some obtained solutions with special choices
of free constants and various fractional orders are included. The two
used methods provide the effectiveness, applicability, and convenient
handling of the solution process for nonlinear evolution equations that
appear in the various real life problems.