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On the Exact Solution of Time-Fractional (2 + 1) Dimensional Konopelchenko–Dubrovsky Equation

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The analysis of nonlinear equations performs a significant part in examining the physical phenomena. In this article, the exact solution of time-fractional (2 + 1) dimensional Konopelchenko–Dubrovsky equation (KDE) has been derived… Click to show full abstract

The analysis of nonlinear equations performs a significant part in examining the physical phenomena. In this article, the exact solution of time-fractional (2 + 1) dimensional Konopelchenko–Dubrovsky equation (KDE) has been derived by utilising the Kudryashov method. The Kudryashov technique is effectively implemented in order to acquire the analytical solutions of the time-fractional KDE. As exact solution of fractional KDE is not documented previously, the Kudryashov technique is utilized to construct exact solutions via fractional complex transform. The solution thus attained by the above method is illustrated graphically and are discussed in details. This research analysis manifests that the Kudryashov method deemed capable of yielding solutions of such fractional differential equations.

Keywords: solution time; time fractional; exact solution; fractional dimensional; solution

Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2019

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