Mathematics Interdisciplinary Research

Mathematics Interdisciplinary Research

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

Document Type : Original Scientific Paper

Authors
1 ‎Department of Mathematics‎, ‎Faculty of Sciences of Matter and Computer Sciences, Khemis Miliana University‎, ‎Algeria,
2 ‎Laboratory‎, ‎FIMA‎, ‎UDBKM, Khemis Miliana University‎, ‎Algeria
3 ‎Department of Mathematics‎, ‎Faculty of Science‎, ‎Bu-Ali Sina University, Hamedan‎, I. R. ‎Iran
10.22052/mir.2026.258296.1567
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.
Keywords
Subjects

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