A Novel Study for a Class of Nonlinear Fuzzy Fractional Volterra-Fredholm Integro-Differential Equations

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Authors

  • Abdulrahman A. Sharif Department of Mathematics, Hodeidah University, AL-Hudaydah, Yemen; Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India Author
  • Maha M. Hamood Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India; Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen Author
  • Ahmed A. Hamoud Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen Author
  • Kirtiwant P. Ghadle Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India Author

DOI:

https://doi.org/10.5890/DNC.2025.06.012

Abstract

In this paper, we aim to prove new results about the existence and uniqueness of solutions to fuzzy fractional Volterra-Fredholm integro-differential equations (FFV-FIDEs). These equations include fuzzy beginning conditions and generalized fuzzy Caputo-Hukuhara differentiability. The consecutive iteration approach and the Banach fixed point theorem are used in the proof. An example is provided to illustrate the main results.

References

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PublishedJune 2025

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How to Cite

Sharif, A. A., Hamood, M. M., Hamoud, A. A., & Ghadle, K. P. (2026). A Novel Study for a Class of Nonlinear Fuzzy Fractional Volterra-Fredholm Integro-Differential Equations. Discontinuity, Nonlinearity, and Complexity, 14(2), 407-415. https://doi.org/10.5890/DNC.2025.06.012