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Journal of Applied Nonlinear Dynamics 1(4) (2012) 309--319 | DOI:10.5890/JAND.2012.10.001

K. Balachandran $^{1}$, S. Kiruthika$^{1}$, M. Rivero$^{2}$, J.J. Trujillo$^{3}$

$^{1}$ Department of Mathematics, Bharathiar University, Coimbatore-641 046, India

$^{2}$ Departamento de Matemática Fundamental, Universidad de La Laguna, 38271 La Laguna, Tenerife, Spain

$^{3}$ Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Spain

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Abstract

n this article, we study the existence of solutions for a class of fractional integrodifferential equations with time varying delay by using the resolvent operators and fixed point technique. The main results present in this paper improve some results on this issue that have been studied recently. An example is provided to illustrate our main theoretical results.

Acknowledgments

The second author is thankful to UGC, New Delhi for awarding BSR Fellowship and the last two authors are thankful to project MTM2010-16499 from the MICINN of Spain.

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