Journal
NONLINEAR ANALYSIS-MODELLING AND CONTROL
Volume 22, Issue 6, Pages 753-764Publisher
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/NA.2017.6.2
Keywords
fractional derivative; fractional impulsive conditions; (a, k)-regularized resolvent operator; Riemann-Liouville operator
Funding
- Ministerio de Economia y Competitividad of Spain [MTM2013-43014-P]
- XUNTA [R2014/002, GRC2015/004]
- European Community fund FEDER
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We consider Riemann-Liouville fractional differential equations with fractional-order derivative in the impulsive conditions. We study the existence of the mild solution by applying the Laplace transform method and (a, k)-regularized resolvent operator. We use the contraction mapping principle and fixed point theorem for condensing map to prove our existence results.
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