Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses

Alka Chadha; Dwijendra N Pandey

doi:10.4067/S0719-06462015000100002

Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses

Authors

Alka Chadha Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667
Dwijendra N Pandey Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667

DOI:

https://doi.org/10.4067/S0719-06462015000100002

Keywords:

Deviating arguments, Fixed point theorem, Impulsive differential equation, Periodic BVP, Fractional calculus

Abstract

This paper deals with periodic BVP for integer/fractional order differential equations with a deviated argument and integrable impulses in arbitrary Banach space X for which the impulses are not instantaneous. By utilizing fixed point theorems, we firstly establish the existence and uniqueness of the mild solution for the integer order differential system and secondly obtain the existence results for the mild solution to the fractional order differential system. Also at the end, we present some examples to show the effectiveness of the discussed abstract theory.

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Published

2015-03-01

How to Cite

[1]

A. Chadha and D. N. Pandey, “Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses”, CUBO, vol. 17, no. 1, pp. 11–27, Mar. 2015.