Optimal solution of fractional equal width equations
Abstract
That’s a great summary of a research paper on the applications of the optimal homotopy asymptotic method (OHAM). In this article, applications of the OHAM modified for equal wave equations are studied. For Fractional Optimal Homotopy Asymptotic Method's (FOHAM) 3rd order solution is tried. For both fractional values Problems and integers the technique is tested. For the evaluation of fractional order, the Caputo and Caputo-Fabrizio operators are utilised. Validating the method by comparing with existing analytical solutions. By contrasting the approach's results with those of the earlier analytical method, the method's correctness is demonstrated. The convergence region is controlled by the convergence control parameters. The paper demonstrates the effectiveness and simplicity of foham in solving potentially linear and nonlinear problems, highlighting its potential as a valuable tool for researchers and scientists in a variety of fields. In this research, the time-fractional model of equal wave equations is examined using the optimal homotopy asymptotic approach and the Laplace Transformation with Caputo operator. The best outcomes in the Caputo meaning are demonstrated by comparing the numerical approximation produced by the suggested method to the exact solution. It was also looked at how the two fractional operators compared to one another
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