A coupled system of fractional difference equations with anti-periodic boundary conditions

Authors

  • Jagan Mohan JONNALAGADDA Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad – 500078, Telangana, India e-mail: j.jaganmohan@hotmail.com https://orcid.org/0000-0002-1310-8323

DOI:

https://doi.org/10.24193/subbmath.2023.2.13

Keywords:

Nabla fractional difference, boundary value problem, anti-periodic boundary conditions, existence, uniqueness, Ulam–Hyers stability.

Abstract

In this article, we give sufficient conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of two-point nabla fractional difference boundary value problems subject to anti-periodic boundary conditions, using the vector approach of Precup [4, 14, 19, 21]. Some examples are included to illustrate the theory.

Mathematics Subject Classification (2010): 39A12, 39A70.

Received 07 March 2020; Accepted 13 April 2020.

References

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Published

2023-06-14

How to Cite

JONNALAGADDA , J. M. (2023). A coupled system of fractional difference equations with anti-periodic boundary conditions. Studia Universitatis Babeș-Bolyai Mathematica, 68(2), 387–398. https://doi.org/10.24193/subbmath.2023.2.13

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