Analytic Study on Fractional Implicit Differential Equations with Impulses via Katugampola Fractional Derivative


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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:

Generalized fractional derivative, Fractional implicit differential equations, Impulses, Fixed point

Abstract

In this paper, we establish certain conditions for the existence and uniqueness of solutions for such a class of fractional implicit differential equations using Katugampola fractional derivative in Caputo. The arguments are based on fixed point theorems. We provide an example, which shows the validity of our main results.

 

 

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). Analytic Study on Fractional Implicit Differential Equations with Impulses via Katugampola Fractional Derivative. International Journal of Mathematics And Its Applications, 6(2 - A), 53–62. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/640

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

Creative Commons License

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