Research article

Nonlinear fractional boundary value problem with not instantaneous impulse

  • Received: 24 December 2016 Accepted: 25 May 2017 Published: 22 June 2017
  • In this article, the main focus is to propose the solution for the nonlinear fractional boundary system with non-instantaneous impulse under some weak conditions. By applying well known classical fixed point theorems, we obtained the existence and uniqueness outcomes of the solution for the proposed problem. Moreover, an example is also discussed to explain the present work.

    Citation: Vidushi Gupta, Jaydev Dabas. Nonlinear fractional boundary value problem with not instantaneous impulse[J]. AIMS Mathematics, 2017, 2(2): 365-376. doi: 10.3934/Math.2017.2.365

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  • In this article, the main focus is to propose the solution for the nonlinear fractional boundary system with non-instantaneous impulse under some weak conditions. By applying well known classical fixed point theorems, we obtained the existence and uniqueness outcomes of the solution for the proposed problem. Moreover, an example is also discussed to explain the present work.


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    [17] Gautam G R, Dabas J, Mild solution for fractional functional integro-differential equation with not instantaneous impulse, Malaya J. Mat., 2 (2014), 428-437.
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  • © 2017 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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