Existence, Uniqueness and Stability Analysis with the Multiple Exp Function Method for NPDEs

Existence, Uniqueness and Stability Analysis with the Multiple Exp Function Method for NPDEs

In this study, firstly, through an alternative theorem, we study the existence and uniqueness of solution of some nonlinear PDEs and then investigate the Ulam–Hyers–Rassias stability of solution. Secondly, we apply a relatively novel analytical technique, the multiple exp function method, to obtain...

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Bibliographic Details
Main Authors: Safoura Rezaei Aderyani, Reza Saadati, Donal O’Regan, Fehaid Salem Alshammari
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Mathematics
Subjects:
multiple exp-function method
analytical method
NPDE
fixed point method
UHRS
Online Access:https://www.mdpi.com/2227-7390/10/21/4151
Description
Summary:In this study, firstly, through an alternative theorem, we study the existence and uniqueness of solution of some nonlinear PDEs and then investigate the Ulam–Hyers–Rassias stability of solution. Secondly, we apply a relatively novel analytical technique, the multiple exp function method, to obtain the multiple wave solutions of presented nonlinear equations. Finally, we propose the numerical results on tables and discuss the advantages and disadvantages of the method.
ISSN:2227-7390

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