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October 2, 2025Open Access

A Nonlinear Nonlocal Problem for the Caputo Fractional Subdiffusion Equation

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Authors

RARavshan AshurovRSRajapboy SaparboyevNNN. Nuraliyeva

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Overview

Analysis demonstrates existence and uniqueness of solutions for nonlinear subdiffusion equations, highlighting implications of Lipschitz conditions.

Key Points

  • The study establishes a regular solution for a nonlinear subdiffusion equation involving a nonlocal initial condition.
  • Using the Green function and Banach fixed point theorem, a unique solution is proven to exist under specified conditions.
  • The analysis emphasizes the role of the Lipschitz constant in the context of solvability for the considered equation.
  • Uniform estimates are provided for the Green function, contributing to a deeper understanding of the subdiffusion behavior.

Cite This Study

Ashurov et al. (2025) studied this question.

synapsesocial.com/papers/68de84bf5b556a9128e1becahttps://doi.org/10.48550/arxiv.2506.19516
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