Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator

Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator

Abstract In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions. We also prove Hyers–Ulam stability for the proposed coupled system of fractional differential equations (FDEs) with the nonlinear p-Lap...

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Bibliographic Details
Main Authors: Hasib Khan, Wen Chen, Aziz Khan, Tahir S. Khan, Qasem M. Al-Madlal
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Advances in Difference Equations
Subjects:
Fractional differential equations
Riemann–Liouville integral boundary conditions
p-Laplacian operator
Hyers–Ulam stability
Banach’s fixed point theorem
Online Access:http://link.springer.com/article/10.1186/s13662-018-1899-x
Description
Summary:Abstract In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions. We also prove Hyers–Ulam stability for the proposed coupled system of fractional differential equations (FDEs) with the nonlinear p-Laplacian operator and Riemann–Liouville integral boundary conditions (IBCs). An illustrative example is presented to demonstrate our main results.
ISSN:1687-1847

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