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Peer-reviewedCC BYMathematics Interdisciplinary Research

A Nonlinear Fractional Quantum Coupled System: Existence and Mittag-Leffler Ulam-Hyers Stability

  • Mohamed Bezziou1
  • Mohamed Houas2
  • Mohammad Esmael Samei3
  1. 1‎Department of Mathematics‎, ‎Faculty of Sciences of Matter and Computer Sciences, Khemis Miliana University‎, ‎Algeria,
  2. 2‎Laboratory‎, ‎FIMA‎, ‎UDBKM, Khemis Miliana University‎, ‎Algeria
  3. 3‎Department of Mathematics‎, ‎Faculty of Science‎, ‎Bu-Ali Sina University, Hamedan‎, I. R. ‎Iran
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Abstract

‎Investigating the existence and stability of solutions in nonlinear and discrete cases of fractional differential equations is always useful for complex applied problems‎. ‎In the current work‎, ‎we discuss the existence of a solution to a coupled nonlinear system of fractional quantum differential equations involving quantum integrals and derivatives‎. ‎We prove the existence and uniqueness of solutions by using some classical fixed point theorems in nonlinear analysis‎, ‎such as Schaefer's fixed point‎. ‎Also‎, ‎we define the Mittag-Leffler-Ulam stability and study the stability of solutions for the proposed system‎. ‎Of course‎, ‎some examples are demonstrated to confirm our main results for the system‎. ‎Moreover‎, ‎a conclusion is given in the last section‎.

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Cite

BibTeXRIS
BibTeX
@article{bezziou2026nonlinear,
  title = {{A Nonlinear Fractional Quantum Coupled System: Existence and Mittag-Leffler Ulam-Hyers Stability}},
  author = {Mohamed Bezziou and Mohamed Houas and Mohammad Esmael Samei},
  journal = {Mathematics Interdisciplinary Research},
  year = {2026},
  month = oct,
  doi = {10.22052/mir.2026.258296.1567},
  url = {https://doi.org/10.22052/mir.2026.258296.1567},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - A Nonlinear Fractional Quantum Coupled System: Existence and Mittag-Leffler Ulam-Hyers Stability
AU  - Mohamed Bezziou
AU  - Mohamed Houas
AU  - Mohammad Esmael Samei
PY  - 2026
DA  - 2026/10/30
JO  - Mathematics Interdisciplinary Research
DO  - 10.22052/mir.2026.258296.1567
UR  - https://doi.org/10.22052/mir.2026.258296.1567
AB  - ‎Investigating the existence and stability of solutions in nonlinear and discrete cases of fractional differential equations is always useful for complex applied problems‎. ‎In the current work‎, ‎we discuss the existence of a solution to a coupled nonlinear system of fractional quantum differential equations involving quantum integrals and derivatives‎. ‎We prove the existence and uniqueness of solutions by using some classical fixed point theorems in nonlinear analysis‎, ‎such as Schaefer's fixed point‎. ‎Also‎, ‎we define the Mittag-Leffler-Ulam stability and study the stability of solutions for the proposed system‎. ‎Of course‎, ‎some examples are demonstrated to confirm our main results for the system‎. ‎Moreover‎, ‎a conclusion is given in the last section‎.
SN  - 2476-4965
ER  -