Existence Results for Katugampola-type Fractional Functional Differential Equations


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Authors

  • M. Janaki Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India
  • K. Kanagarajan Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India
  • D. Vivek Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India

Keywords:

Katugampola fractional derivative, Fractional functional differential equations, Fractional neutral functional differential equations, Existence, Fixed point

Abstract

In this paper, the initial value problem is discussed for a class of Katugampola-type fractional functional differential equations and the criteria on existence are obtained.

 

 

Author Biographies

M. Janaki, Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India

 

 

K. Kanagarajan, Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India

 

 

D. Vivek, Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, India

 

 

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Published

15-05-2018

How to Cite

M. Janaki, K. Kanagarajan, & D. Vivek. (2018). Existence Results for Katugampola-type Fractional Functional Differential Equations. International Journal of Mathematics And Its Applications, 6(2 - A), 13–20. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/635

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

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