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HyersUlamRassias stability of some non-linear fractional integral equations using Bielecki metric
  • R Subashmoorthy,
  • P. Balasubramaniam
R Subashmoorthy
Amrita Vishwa Vidyapeetham
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P. Balasubramaniam
Universiti of Malaya
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Abstract

We apply the Bielecki metric on the space C([a, b]), to analyze the different types of stabilities of non-linear fractional integral equation corresponding to fractional boundary value problems. Sufficient conditions are obtained to prove stability results for fractional non-linear Volterra and Fredholm integral equations, given by Ulam, Hyer and Rassias. We extend the respective stability results to the fractional integral equations where the domain of integration is an unbounded interval. We provide numerical examples which asserts our stability results.

Peer review status:ACCEPTED

18 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
22 Feb 2020Submission Checks Completed
22 Feb 2020Assigned to Editor
25 Feb 2020Reviewer(s) Assigned
04 Jun 2020Review(s) Completed, Editorial Evaluation Pending
05 Jun 2020Editorial Decision: Revise Major
14 Jun 20201st Revision Received
14 Jun 2020Submission Checks Completed
14 Jun 2020Assigned to Editor
08 Sep 2020Review(s) Completed, Editorial Evaluation Pending
09 Sep 2020Editorial Decision: Accept