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Dynamics and stability for Katugampola random fractional differential equations
- Source :
- AIMS Mathematics, Vol 6, Iss 8, Pp 8654-8666 (2021)
- Publication Year :
- 2021
- Publisher :
- AIMS Press, 2021.
-
Abstract
- This paper deals with some existence of random solutions and the Ulam stability for a class of Katugampola random fractional differential equations in Banach spaces. A random fixed point theorem is used for the existence of random solutions, and we prove that our problem is generalized Ulam-Hyers-Rassias stable. An illustrative example is presented in the last section.
- Subjects :
- Class (set theory)
Mathematics::Functional Analysis
Differential equation
General Mathematics
Dynamics (mechanics)
Banach space
katugampola fractional derivative
random solution
Fixed-point theorem
katugampola fractional integral
Fixed point
Stability (probability)
Section (fiber bundle)
differential equation
fixed point
QA1-939
Applied mathematics
banach space
ulam stability
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 6
- Issue :
- 8
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....621f979ac5cad3546dea4cf91f672f96