Hyers–Ulam Stability and Existence of Solutions to the Generalized Liouville–Caputo Fractional Differential Equations
Abstract
:1. Introduction
2. Preliminaries
- (i)
- =, .
- (ii)
- .
- (i)
- .
- (ii)
- .
- (iii)
- .
- (iv)
- .
3. Hyers–Ulam Stability for Linear Problems
4. Existence and Stability Results for the Nonlinear Equation
5. An Example
Author Contributions
Funding
Conflicts of Interest
References
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Liu, K.; Fečkan, M.; Wang, J. Hyers–Ulam Stability and Existence of Solutions to the Generalized Liouville–Caputo Fractional Differential Equations. Symmetry 2020, 12, 955. https://doi.org/10.3390/sym12060955
Liu K, Fečkan M, Wang J. Hyers–Ulam Stability and Existence of Solutions to the Generalized Liouville–Caputo Fractional Differential Equations. Symmetry. 2020; 12(6):955. https://doi.org/10.3390/sym12060955
Chicago/Turabian StyleLiu, Kui, Michal Fečkan, and Jinrong Wang. 2020. "Hyers–Ulam Stability and Existence of Solutions to the Generalized Liouville–Caputo Fractional Differential Equations" Symmetry 12, no. 6: 955. https://doi.org/10.3390/sym12060955
APA StyleLiu, K., Fečkan, M., & Wang, J. (2020). Hyers–Ulam Stability and Existence of Solutions to the Generalized Liouville–Caputo Fractional Differential Equations. Symmetry, 12(6), 955. https://doi.org/10.3390/sym12060955