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Existence and data-dependence theorems for fractional impulsive integro-differential system
- Source :
- Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-11 (2020)
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- In this article we have considered a fractional order impulsive integro-differential equation (IDE) in Caputo’s sense for the unique solution and data dependence results. We take help of the Banach fixed point theory and basic literature of fractional calculus. The results are examined with the help of an expressive numerical example for an application of the results.
- Subjects :
- Algebra and Number Theory
Partial differential equation
Banach fixed point theorem
Fractional impulsive IDE
lcsh:Mathematics
Applied Mathematics
Uniqueness of solution
010102 general mathematics
Data dependence
Stability analysis
Fixed-point theorem
lcsh:QA1-939
Differential systems
01 natural sciences
Fractional calculus
010101 applied mathematics
Ordinary differential equation
Order (group theory)
Applied mathematics
0101 mathematics
Analysis
Mathematics
Subjects
Details
- ISSN :
- 16871847
- Volume :
- 2020
- Database :
- OpenAIRE
- Journal :
- Advances in Difference Equations
- Accession number :
- edsair.doi.dedup.....92e5ef7de1ad6e53be5fc8d9d3413ee1
- Full Text :
- https://doi.org/10.1186/s13662-020-02823-6