Existence theory and stability analysis to a coupled nonlinear fractional mixed boundary value problem

https://doi.org/10.48185/jfcns.v4i1.714

Authors

  • SHAHID SAIFULLAH Department of Mathematics, University of Peshawar, Peshawar, Pakistan
  • SUMBEL SHAHID Department of Mathematics, University of Peshawar, Peshawar, Pakistan
  • AKBAR ZADA Department of Mathematics, University of Peshawar, Peshawar, Pakistan

Keywords:

Green’s function, Coupled system, Riemann–Liouville fractional order derivative, Existence theory, Ulam stability. 2010 MSC: 34B27; 26A33; 39B82; 45M10.

Abstract

In this manuscript, we conclude a comprehensive approach to a class of nonlinear coupled system of fractional differential equations with mixed type boundary value conditions. Subsequently, the solution of coupled system exists and unique under mixed type boundary value conditions with the reference of Schaefer and Banach fixed-point theorems. Further, we developed the Hyers- Ulam stability for the considered problem. Finally, we set an example for the support of our results.

Published

2023-06-30

How to Cite

SAIFULLAH , S., SHAHID , S. ., & ZADA, A. . (2023). Existence theory and stability analysis to a coupled nonlinear fractional mixed boundary value problem. Journal of Fractional Calculus and Nonlinear Systems, 4(1), 35–53. https://doi.org/10.48185/jfcns.v4i1.714

Issue

Vol. 4 No. 1 (2023): 2023 (1)

Section

Articles
Copyright & Licensing

Copyright (c) 2023 SHAHID SAIFULLAH , SUMBEL SHAHID , AKBAR ZADA

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.