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February 19, 2026Mathematical Methods in the Applied Sciences

Existence of Solution for a Coupled System of Langevin Equations Involving the ψ ‐Hilfer Fractional Derivative

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Authors

LALamya AlmaghamsiAAAeshah AlghamdiUniversity of JeddahAGAbdeljabbar GhanmiTunis University

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Implication

Demonstrates existence and uniqueness of solutions in coupled Langevin equations, indicating robust mathematical frameworks.

Key Points

  • The aim is to establish sufficient conditions for the existence and uniqueness of solutions to a coupled system of fractional Langevin equations.
  • Transformed the coupled system into an equivalent system of integral equations
  • Applied Schauder's fixed point theorem for existence proofs
  • Utilized the Leray-Schauder nonlinear alternative
  • Employed the Banach contraction principle for uniqueness
  • Provided illustrative examples to validate findings
  • Established sufficient conditions for the existence of solutions
  • Demonstrated uniqueness of solutions under certain conditions
  • Validated theoretical results through several examples

Cite This Study

Almaghamsi et al. (2026) studied this question.

synapsesocial.com/papers/6996a8efecb39a600b3f0346https://doi.org/10.1002/mma.70595
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