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Mathematical Problems in Engineering
Volume 2015, Article ID 835891, 13 pages
http://dx.doi.org/10.1155/2015/835891
Research Article

Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type

1Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt 19117, Jordan
2Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
3Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University (KAU), Jeddah 21589, Saudi Arabia

Received 12 October 2014; Accepted 18 November 2014

Academic Editor: Jinhu Lü

Copyright © 2015 Omar Abu Arqub et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [12 citations]

The following is the list of published articles that have cited the current article.

  • Omar Abu Arqub, Mohammed AL-Smadi, Shaher Momani, and Tasawar Hayat, “Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method,” Soft Computing, 2015. View at Publisher · View at Google Scholar
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  • Omar Abu Arqub, Mohammed Al-Smadi, Shaher Momani, and Tasawar Hayat, “Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems,” Soft Computing, 2016. View at Publisher · View at Google Scholar
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  • Shaher Momani, Marwan Kutbi, Omar Abu Arqub, and Saleh Al-Mezel, “A novel iterative numerical algorithm for the solutions of systems of fuzzy initial value problems,” Applied Mathematics and Information Sciences, vol. 11, no. 4, pp. 1059–1074, 2017. View at Publisher · View at Google Scholar
  • Omid Solaymani Fard, and Mohadeseh Ramezanzadeh, “On Fuzzy Portfolio Selection Problems: A Parametric Representation Approach,” Complexity, vol. 2017, pp. 1–12, 2017. View at Publisher · View at Google Scholar
  • Nian Zhang, Zhigang Yao, Yufeng Zhou, and Guiwu Wei, “Some new dual hesitant fuzzy linguistic operators based on Archimedean t-norm and t-conorm,” Neural Computing and Applications, 2018. View at Publisher · View at Google Scholar
  • Izaz Ullah Khan, Tahir Ahmad, and Normah Maan, “Revised convexity, normality and stability properties of the dynamical feedback fuzzy state space model (FFSSM) of insulin–glucose regulatory system in humans,” Soft Computing, 2018. View at Publisher · View at Google Scholar
  • Animesh Mahata, Sankar Prasad Mondal, Ali Ahmadian, Fudiah Ismail, Shariful Alam, and Soheil Salahshour, “Different Solution Strategies for Solving Epidemic Model in Imprecise Environment,” Complexity, vol. 2018, pp. 1–18, 2018. View at Publisher · View at Google Scholar
  • Nguyen Ngoc Phung, Bao Quoc Ta, and Ho Vu, “Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation,” Complexity, vol. 2019, pp. 1–10, 2019. View at Publisher · View at Google Scholar
  • Mohammad Alaroud, Mohammed Al-Smadi, Rokiah Rozita Ahmad, and Ummul Khair Salma Din, “An Analytical Numerical Method for Solving Fuzzy Fractional Volterra Integro-Differential Equations,” Symmetry, vol. 11, no. 2, pp. 205, 2019. View at Publisher · View at Google Scholar