Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (3): 712-720.doi: 10.1016/S0252-9602(13)60032-6

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EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS

K. BALACHANDRAN|S. KIRUTHIKA|J. J. TRUJILLO   

  1. Department of Mathematics, Bharathiar University, Coimbatore-641046, India; Universidad de La Laguna, Departamento de An´alisis Matem´atico, 38271 La Laguna, Tenerife, Spain
  • Received:2011-10-24 Revised:2012-09-17 Online:2013-05-20 Published:2013-05-20
  • Supported by:

    The second author is thankful to UGC New Delhi for providing BSR fellowship and the third author is thankful to project MTM2010-16499 from the MICINN of Spain.

Abstract:

This article deals with the existence of solutions of nonlinear fractional panto-graph equations. Such model can be considered suitable to be applied when the corresponding process occurs through strongly anomalous media. The results are obtained using fractional calculus and fixed point theorems. An example is provided to illustrate the main result obtained in this article.

Key words: Fractional differential equations, pantograph equations, fixed point theorems

CLC Number: 

  • 34A08
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