A novel stability analysis for the Darboux problem of partial differential equations via fixed point theory

El-sayed El-hady; Abdellatif Ben Makhlouf; El-sayed El-hady; Abdellatif Ben Makhlouf

doi:10.3934/math.2021744

AIMS Mathematics

2021, Volume 6, Issue 11: 12894-12901. doi: 10.3934/math.2021744

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Research article

A novel stability analysis for the Darboux problem of partial differential equations via fixed point theory

Mathematics Department, College of Science, Jouf University, P. O. Box: 2014, Sakaka, Saudi Arabia

Received: 27 April 2021 Accepted: 31 August 2021 Published: 10 September 2021
MSC : 45N05, 34G20, 47H10

We present Ulam-Hyers-Rassias (UHR) stability results for the Darboux problem of partial differential equations (DPPDEs). We employ some fixed point theorem (FPT) as the main tool in the analysis. In this manner, our results are considered as some generalized version of several earlier outcomes.
- Ulam stability,
- Darboux problem,
- partial differential equation,
- fixed points
Citation: El-sayed El-hady, Abdellatif Ben Makhlouf. A novel stability analysis for the Darboux problem of partial differential equations via fixed point theory[J]. AIMS Mathematics, 2021, 6(11): 12894-12901. doi: 10.3934/math.2021744

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Abstract

We present Ulam-Hyers-Rassias (UHR) stability results for the Darboux problem of partial differential equations (DPPDEs). We employ some fixed point theorem (FPT) as the main tool in the analysis. In this manner, our results are considered as some generalized version of several earlier outcomes.

References

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