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arXiv · 2507.07446

Forward and Inverse Problems for a Langevin-Type Fractional Equation Involving Non-Local Time Condition

Fayziev Yusuf·Jumaeva Shakhnoza
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Abstract

The paper addresses the formulation and analysis of direct and inverse problems for a Langevin-type fractional differential equation under a non-local condition imposed on the time variable. An additional condition for solving the inverse problem has the form $u(t_0)=\omega$. The existence and uniqueness of a solution to the problems are established, and stability inequalities are derived. Criteria ensuring the uniqueness of the solution are identified.

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Fayziev Yusuf, Jumaeva Shakhnoza. 2025-07-10. Forward and Inverse Problems for a Langevin-Type Fractional Equation Involving Non-Local Time Condition. https://arxiv.org/abs/2507.07446

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