Periodic BVP for a class of nonlinear differential equation with a deviated argument and integrable impulses
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Alka Chadha
alkachaddha03@gmail.com
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Dwijendra N Pandey
dwij.iitk@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462015000100002Abstract
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.
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