Abstract
In this article, we give some results for fractional-order delay differential equations. In the first result, we prove the existence and uniqueness of solution by using Bielecki norm effectively. In the second result, we consider a constant delay form of this problem. Then we apply Burton?s method to this special form to prove that there is only one solution. Finally, we prove a result regarding the Hyers-Ulam stability of this problem. Moreover, in these results, we omit the conditions for contraction constants seen in many papers.
Keywords
Mathematics
Uniqueness
Delay differential equation
Stability (learning theory)
Constant (computer programming)
Norm (philosophy)
Applied mathematics
Differential equation
Contraction mapping
Mathematical analysis
Contraction (grammar)
Fixed-point theorem
Computer science
Subject Areas
Nonlinear Differential Equations Analysis
·Applied Mathematics ·Physical Sciences
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Numerical methods for differential equations
·Numerical Analysis ·Physical Sciences
Citations by Year
2023: 2
2024: 4
2025: 4
Loading…
Loading…