Cargando…

Compatible extension of the [Formula: see text]-expansion approach for equations with conformable derivative

In this study, the compatible extensions of the [Formula: see text]-expansion approach and the generalized [Formula: see text]-expansion scheme are proposed to generate scores of radical closed-form solutions of nonlinear fractional evolution equations. The originality and improvements of the extens...

Descripción completa

Detalles Bibliográficos
Autores principales: Al-Shawba, Altaf A., Abdullah, Farah A., Azmi, Amirah, Akbar, M. Ali, Nisar, Kottakkaran Sooppy
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10189178/
https://www.ncbi.nlm.nih.gov/pubmed/37206045
http://dx.doi.org/10.1016/j.heliyon.2023.e15717
Descripción
Sumario:In this study, the compatible extensions of the [Formula: see text]-expansion approach and the generalized [Formula: see text]-expansion scheme are proposed to generate scores of radical closed-form solutions of nonlinear fractional evolution equations. The originality and improvements of the extensions are confirmed by their application to the fractional space-time paired Burgers equations. The application of the proposed extensions highlights their effectiveness by providing dissimilar solutions for assorted physical forms in nonlinear science. In order to explain some of the wave solutions geometrically, we represent them as two- and three-dimensional graphs. The results demonstrate that the techniques presented in this study are effective and straightforward ways to address a variety of equations in mathematical physics with conformable derivative.