Traveling Wave Solutions for Non-linear Biological Model using the Improved (G’/G)-Expansion Method
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Keywords:
Improved (G’/G)-expansion method, traveling wave solutions, biological model of fractional order, balancing principal, Caputo derivativeAbstract
This article presents a broader variety of accurate and more generic travelling wave solutions
for a nonlinear biological model of fractional order using the improved (G’/G)-expansion method.The
Caputo sense is used to characterize the time fractional derivatives. A variety of latest exact solutions
likes exponential, hyperbolic, trigonometric functions, have been successfully determined with
considerable physical significance. The obtained solutions are practical, trustworthy and appropriate for
understanding chaotic vibrations, scalar electrodynamics, electromagnetic interactions, and optimal
control theory, as well as global and local bifurcations and echoes phenomena. We investigate the
solutions by drawing graphs for the various numeric values of the free parameters in order to observe the
inner substructure of the model. The acquired findings further show that the proposed technique is
concise and simple, and that it could be useful in illustrating the infrastructure of physical phenomena
related with the considered model.
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