Uniqueness and Stability Results of Fractional Neutral Differential Equations with Infinite Delay


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Authors

  • Mohammed S. Abdo Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India
  • Satish K. Panchal Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India

Keywords:

Fractional differential equations, Functional-differential equations with fractional derivatives, Stability, Fixed point theorem

Abstract

In this paper, some uniqueness and Ulam-Hyers stability results for neutral functional differential equations with fractional order and infinite delay are proved. The problem that is discussed includes the Caputo fractional derivative operator. The technique used is a variety of tools of fractional calculus properties and Banach's fixed point theorem. An example of the obtained results is given.

 

 

Author Biographies

Mohammed S. Abdo, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India

 

 

Satish K. Panchal, Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India

 

 

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Published

15-05-2018

How to Cite

Mohammed S. Abdo, & Satish K. Panchal. (2018). Uniqueness and Stability Results of Fractional Neutral Differential Equations with Infinite Delay. International Journal of Mathematics And Its Applications, 6(2 - A), 403–410. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/688

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.