Geodesic
A Coupled System of Nonlinear Langevin Fractional $q$-Difference Equations Associated with Two Different Fractional Orders in Banach Space
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 4, p. 555 .

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In this research article, we study the coupled system of nonlinear Langevin fractional $q$-difference equations associated with two different fractional orders in Banach Space. The existence, uniqueness, and stability in the sense of Ulam are established for the proposed system. Our approach is based on the technique of measure of noncompactness combined with Mönch fixed point theorem, the implementation Banach contraction principle fixed point theorem, and the employment of Urs's stability approach. Two examples illustrating the effectiveness of the theoretical results are presented.
DOI : 10.46793/KgJMat2404.555B
Classification : 26A33, 34A08, 34B15
Keywords: Coupled fractional differential system, fractional q-derivative, fractional Langevin equation, Kuratowski measures of noncompactness, fixed point theorems, Banach space 
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Abdellatif Boutiara. A Coupled System of Nonlinear Langevin Fractional $q$-Difference Equations Associated with Two Different Fractional Orders in Banach Space. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 4, p. 555 . doi : 10.46793/KgJMat2404.555B. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2404.555B/

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