A class of nonlinear systems with new boundary conditions: existence of solutions, stability and travelling waves

A class of nonlinear systems with new boundary conditions: existence of solutions, stability and travelling waves

In this work, we begin by introducing a new notion of coupled closed fractional boundary conditions to study a class of nonlinear sequential systems of Caputo fractional differential equations. The existence and uniqueness of solutions for the class of systems is proved by applying Banach contracti...

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Bibliographic Details
Main Authors: Abdelkader Lamamri, Yazid Gouari, Zoubir Dahmani, Mahdi Rakah, Mehmet Zeki Sarıkaya
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2025-04-01
Series:Mathematical Modelling and Analysis
Subjects:
Caputo sequential derivative
coupled system of FDEs
existence and uniqueness
Ulam-Hyers stability
fixed point theorem
travelling wave
Online Access:https://bmee.vgtu.lt/index.php/MMA/article/view/20920
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https://bmee.vgtu.lt/index.php/MMA/article/view/20920

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