Existence and stability analysis to nonlocal implicit problems with ψ-piecewise fractional operators

Authors

  • Mohammed S. Abdo Department of Mathematics, Hodeidah University, Al-Hudaydah, Yemen

DOI:

https://doi.org/10.59846/ajbas.v1i2.440

Abstract

In this work, we investigate the existence, uniqueness, and Ulam-Hyers stability results for classes of nonlocal implicit problems involving ψ-piecewise Caputo fractional operators. Our approach is depends on fixed point theorems of Banach and Schaefer. Furthermore, the ensuring of the existence of solutions is shown by Ulam-Hyer's stability. At last, an example is given to show and approve our results.
Existence and stability analysis to nonlocal implicit problems with ψ-piecewise fractional operators

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Published

30-12-2022

Issue

Vol. 1 No. 2 (2022): Volume 1 - Issue 2

Section

Articles

License

Copyright (c) 2022 Mohammed S. Abdo

Creative Commons License

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

All articles published in Abhath Journal of Basic and Applied Sciences (AJOBAS) are open-access and licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). This license allows users to freely share, copy, distribute, and adapt the work, provided that the original author(s) and source are properly credited.

How to Cite

Existence and stability analysis to nonlocal implicit problems with ψ-piecewise fractional operators. (2022). Abhath Journal of Basic and Applied Sciences, 1(2), 11-17. https://doi.org/10.59846/ajbas.v1i2.440

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