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September 10, 2025An International Journal of Optimization and Control Theories & Applications (IJOCTA)Open Access

A numerical method for solving distributed-order multi-term time-fractional telegraph equations involving Caputo and Riesz fractional derivatives

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Authors

SPS Irandoust PakchinMDMohammad Hossein DerakhshanSRShahram Rezapour

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Overview

Robust method improves precision and efficiency in modeling time-fractional systems with spatial effects.

Key Points

  • The proposed method enhances accuracy for distributed-order time-fractional telegraph equations.
  • It incorporates both Caputo and Riesz fractional derivatives using a finite difference approach.
  • Numerical simulations demonstrate exceptional accuracy and efficiency compared to existing methods.
  • The method's convergence and stability were thoroughly analyzed to validate its performance.

Cite This Study

Pakchin et al. (2025) studied this question.

synapsesocial.com/papers/68c1afc054b1d3bfb60e7685https://doi.org/10.36922/ijocta025110048
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  1. 1A numerical technique for solving nonlinear fractional PDEs2026
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  3. 3A Fully Discrete Numerical Scheme for Nonlinear Fractional PDEs with Caputo Derivatives and Fredholm Integral Terms2026
  4. 4Capturing Nonlocal Effects in Fractional Dynamics: Riesz Derivatives as a New Frontier in Modeling Complex Diffusion and Pattern Formation2025
  5. 5Nonlocal problem for the time-fractional generalized telegraph equation with the Prabhakar fractional derivative2025