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An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative

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  • Nagwa A. Saeed
  • Deepak B. Pachpatte

Abstract

This paper investigates the Fuzzy Adomian Decomposition Method to find approximate analytical solutions for linear and nonlinear fuzzy Darboux problems using the Caputo-type mixed fractional derivative, which plays an important role in applied and engineering sciences. The solutions are formulated as series with easily calculable terms. Multiple examples are included to illustrate the effectiveness of the approach, which employs the σ-level representation of fuzzy numbers. The results are presented graphically, depicting both the lower and upper bounds of the solutions.

Suggested Citation

  • Nagwa A. Saeed & Deepak B. Pachpatte, 2025. "An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative," International Journal of Differential Equations, Hindawi, vol. 2025, pages 1-17, November.
    • Handle: RePEc:hin:jnijde:4536339
    DOI: 10.1155/ijde/4536339
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