Existence Solutions of ABC-Fractional Differential Equations with Periodic and Integral Boundary Conditions

Authors

  • M. O. Muhammad Department of Mathematics, Faculty of Science, University of Zakho, Duhok, Iraq
  • A. Rafeeq Department of Mathematics, Faculty of Science, University of Zakho, Duhok, Iraq

DOI:

https://doi.org/10.3329/jsr.v14i3.58210

Abstract

The nonlinear fractional differential equation (FDE) is discussed in this study. First, we will investigate the existence and uniqueness solution of the nonlinear differential equation to the Atangana-Baleanu fractional derivative in the sense of Caputo with the initial periodic condition and integral boundary condition by Krasnoselskii’s and Banach fixed point theorems. Then, we will study the Hyers-Ulam stability of our problem. Finally, we presented an example to demonstrate the use of our main theorems.

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Published

2022-09-01

How to Cite

Muhammad, M. O. ., & Rafeeq, A. (2022). Existence Solutions of ABC-Fractional Differential Equations with Periodic and Integral Boundary Conditions . Journal of Scientific Research, 14(3), 773–784. https://doi.org/10.3329/jsr.v14i3.58210

Issue

Vol. 14 No. 3 (2022)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

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

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.