Criteria on Existence of Solutions for Fractional Order Impulsive Differential System with Infinite Delay

R  P  Pathak and Piyusha S  Somvanshi

doi:10.17485/ijst/2016/v9i16/88766

Article

Criteria on Existence of Solutions for Fractional Order Impulsive Differential System with Infinite Delay

VIEWS 703
PDF 244

Abstract
Full-Text HTML
Full-Text PDF
How to Cite

Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i16/88766

Year: 2016, Volume: 9, Issue: 16, Pages: 1-5

Original Article

Criteria on Existence of Solutions for Fractional Order Impulsive Differential System with Infinite Delay

R. P. Pathak and Piyusha S. Somvanshi^*

Department of Mathematics, National Institute of Technology Raipur, Opp Ayurvedic College, GE Rd, Raipur – 492001, Chhattisgarh, India; [email protected], [email protected]*

*Author of Corresponding: Piyusha S. Somvanshi Department of Mathematics, National Institute of Technology Raipur, Opp Ayurvedic College, GE Rd, Raipur – 492001, Chhattisgarh, India; [email protected]

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

Abstract

The paper is mainly concerned with the existence and uniqueness of solution for a class of Cauchy initial value problem of fractional order with impulses and infinite delay. The criteria on existences and uniqueness are obtained via successive approximation and solution operator. Finally an example is given to support our main result.

Keywords: Caputo Fractional Derivative, Existence and Uniqueness, Fractional Impulsive Differential Equation, Infinite Delay