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Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces

Author

Listed:
  • M. Nagarajan
  • K. Karthik
  • P. Chandrasekaran
  • Tamilarasi Mathivanan
  • Prasantha Bharathi Dhandapani
  • Taha Radwan

Abstract

The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this research. At the end, to demonstrate the practical application of the findings, an example is also presented.

Suggested Citation

  • M. Nagarajan & K. Karthik & P. Chandrasekaran & Tamilarasi Mathivanan & Prasantha Bharathi Dhandapani & Taha Radwan, 2025. "Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:6542401
    DOI: 10.1155/jom/6542401
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    References listed on IDEAS

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    1. Shruti Agarwal & Dhirendra Bahuguna, 2006. "Existence of solutions to Sobolev-type partial neutral differential equations," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-10, March.
    2. Kavitha, K. & Vijayakumar, V. & Shukla, Anurag & Nisar, Kottakkaran Sooppy & Udhayakumar, R., 2021. "Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
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