Exact Solutions to Some Conformable Time Fractional Equations in\n Benjamin-Bona-Mahony Family

2016/11/21 by Alper Korkmaz, Korkmaz, Alper
Mathematics · Physics and Astronomy · #35C07 #35Q53 #35R11 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical functions and polynomials #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1611.07086

openalex publication_date 2016/11/21 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

The conformable time fractional forms of some partial differential equations\nare solved in the study. The existence of chain rule and the derivative of\ncomposite function enable the equations to be reduced to some ordinary\ndifferential equations by using some particular wave transformations. The\nmodified Kudryashov method implemented to derive the exact solutions for the\nBenjamin-Bona Mahony (BBM), the symmetric BBM and the equal width (EW)\nequations in the conformable fractional time derivative forms. The obtained\nexplicit solutions are illustrated for some time fractional orders in the\ninterval (0,1].\n

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