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On some impulsive fractional differential equations in Banach spaces
- Source :
- Opuscula Mathematica, Vol 30, Iss 4, Pp 507-525 (2010)
- Publication Year :
- 2010
- Publisher :
- AGH Univeristy of Science and Technology Press, 2010.
-
Abstract
- This paper deals with some impulsive fractional differential equations in Banach spaces. Utilizing the Leray-Schauder fixed point theorem and the impulsive nonlinear singular version of the Gronwall inequality, the existence of \(PC\)-mild solutions for some fractional differential equations with impulses are obtained under some easily checked conditions. At last, an example is given for demonstration.
- Subjects :
- Pure mathematics
General Mathematics
fractional differential equations with impulses
lcsh:T57-57.97
Mathematical analysis
Banach space
existence
Fixed-point theorem
\(PC\)-mild solutions
Nonlinear system
Gronwall's inequality
lcsh:Applied mathematics. Quantitative methods
Fractional differential
C0-semigroup
nonlinear impulsive singular version of the Gronwall inequality
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 12329274
- Volume :
- 30
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- Opuscula Mathematica
- Accession number :
- edsair.doi.dedup.....e23f8632b85058237e3751ded04dc483