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September 29, 2025Open Access

Nonlocal problem for the time-fractional generalized telegraph equation with the Prabhakar fractional derivative

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Authors

EKErkinjon KarimovDUDoniyor UsmonovKTKhurshidjon Turdiev

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Overview

Analysis of a nonlocal problem for the generalized telegraph equation using fractional-order derivatives, suggesting solutions exist.

Key Points

  • Theorem of existence and uniqueness of the solution is proved for the nonlocal boundary problem.
  • The solution representation involves Mittag-Leffler functions, facilitating handling of fractional-order derivatives.
  • The problem reduces to a system of second-kind Volterra's integral equations for boundary traces.
  • Application of the Caputo-Prabhakar operator aids in defining fractional differentiation in the given context.

Cite This Study

Karimov et al. (2025) studied this question.

synapsesocial.com/papers/68da58c9c1728099cfd1098chttps://doi.org/10.48550/arxiv.2503.08274
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