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- Title
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions.
- Authors
Zhang, Keyu; Khalid, Khansa Hina; Zada, Akbar; Popa, Ioan‐Lucian; Xu, Jiafa; Kallekh, Afef
- Abstract
In this dissertation, we study the coupled system of q$$ q $$‐fractional Langevin differential equations involving q$$ q $$‐Caputo derivative having q$$ q $$‐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 analysis methods to explore variety of stability types. An example is provided to clearly demonstrate our theoretical outcomes.
- Subjects
DIFFERENTIAL equations; LANGEVIN equations; INTEGRAL equations; NONLINEAR functional analysis; FUNCTIONAL analysis
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 10, p8135
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.10007