This article studies the generalized Mittag–Leffler stability of Hilfer fractional nonautonomous system by using the Lyapunov direct method. A new Hilfer type fractional comparison principle is also proved. The novelty of this article is the fractional Lyapunov direct method combined with the Hilfer type fractional comparison principle. Finally, our main results are explained by some examples.
In this paper, we study the extremal solutions of nonlinear fractional p‐Laplacian differential system with the fractional conformable derivative by applying monotone iterative method and a half‐pair of upper and lower solutions. For the smooth running of our work, we develop a comparison principle about linear system, which play a very crucial role in this article. At last, an illustrative example is given for the main result.
By using monotone iterative method, the extremal solutions and the unique solution are obtained for a nonlinear fractional p-Laplacian boundary value problem involving fractional conformable derivatives and nonlocal integral boundary conditions. Comparison theorems related to the proposed study are also proved. The paper concludes with an illustrative example for the main result.
Herein we describe an innovative comprehensive experiment titled "Design and Evaluation of a ZIF-8/WCNT-Based Electrochemical Sensor for Nitrofurazone Determination in Experimental Teaching" used in our undergraduate program. The experiment comprises several modules, namely synthesis and characterization of Zn--MeIM metal--organic framework ZIF-8, preparation of an electrochemical sensor, optimization of experimental conditions, and development of analytical methods. The experiment involves analytical chemistry, materials chemistry, and other secondary chemistry branches. Owing to its interdisciplinary features and remarkable expansibility, the experiment is suitable for undergraduate experimental analytical chemistry teaching.
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