EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS

doi:10.1016/S0252-9602(13)60032-6

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 712-720.doi: 10.1016/S0252-9602(13)60032-6

EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS

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

Department of Mathematics, Bharathiar University, Coimbatore-641046, India； Universidad de La Laguna, Departamento de An´alisis Matem´atico, 38271 La Laguna, Tenerife, Spain

收稿日期:2011-10-24 修回日期:2012-09-17 出版日期:2013-05-20 发布日期:2013-05-20
基金资助:
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.

EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS

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

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.

摘要/Abstract

摘要：

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.

关键词: Fractional differential equations, pantograph equations, fixed point theorems

Abstract:

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

中图分类号:

34A08

K. BALACHANDRAN, S. KIRUTHIKA, J. J. TRUJILLO. EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(3): 712-720.

K. BALACHANDRAN, S. KIRUTHIKA, J. J. TRUJILLO. EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS[J]. Acta mathematica scientia,Series B, 2013, 33(3): 712-720.

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EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS

EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS

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