Stability analysis for a fractional coupled Hybrid pantograph system with p-Laplacian operator

Abstract

In this article, we study the qualitative analysis of a fractional coupled hybrid pantograph system with a p-Laplacian operator. We developed the criteria for the existence of solutions for the proposed system with boundary conditions in the context of Caputo’s operator. In addition, existence and uniqueness criteria are carried out with the help of Banach’s and Arzelá Ascoli theorems by contractive approach. Furthermore, the Hyers–Ulam stability method was applied for stability analysis. For the sake of the reliability of the main results, we provided some examples at the end of the article for illustrative purposes.

Keywords

• Fractional coupled hybrid pantograph fractional differential equation
• Existence and unique criterion
• Fixed point principle