2024
DOI: 10.1002/mma.10007
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Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions

Keyu Zhang,
Khansa Hina Khalid,
Akbar Zada
et al.

Abstract: In this dissertation, we study the coupled system of ‐fractional Langevin differential equations involving ‐Caputo derivative having ‐fractional integral conditions. With the help of some adequate conditions, we investigate the uniqueness and existence of mild solution of the aforementioned system. We also analyze various kinds of Ulam's stability. Banach fixed point theorem and Leray–Schauder of cone type are used to illustrate the existence and uniqueness results. We also used non‐linear functional analys… Show more

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