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Functional impulsive differential equation of order α ∈(1,2) with nonlocal initial and integral boundary conditions
Author(s) -
Gupta Vidushi,
Dabas Jaydev
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4147
Subject(s) - mathematics , uniqueness , mathematical analysis , boundary value problem , order (exchange) , fixed point theorem , differential equation , banach space , integral equation , work (physics) , banach fixed point theorem , economics , finance , mechanical engineering , engineering
The main work is related to show the existence and uniqueness of solution for the fractional impulsive differential equation of order α ∈(1,2) with an integral boundary condition and finite delay. Using the application of the Banach and Sadovaskii fixed‐point theorems, we obtain the main results. An example is presented at the end to verify the results of the paper. Copyright © 2016 John Wiley & Sons, Ltd.