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Hyers-Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator
Journal article   Open access  Peer reviewed

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

Hasib Khan, Wen Chen, Aziz Khan, Tahir S. Khan and Qasem M. Al-Madlal
Advances in difference equations, Vol.2018(1), pp.1-16
01/12/2018
DOI: https://doi.org/10.1186/s13662-018-1899-x

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.1186/s13662-018-1899-xView
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