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Bounded solutions for fuzzy differential and integral equations

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  • Nieto, Juan J.
  • Rodríguez-López, Rosana

Abstract

We find sufficient conditions for the boundness of every solution of first-order fuzzy differential equations as well as certain fuzzy integral equations. Our results are based on several theorems concerning crisp differential and integral inequalities.

Suggested Citation

  • Nieto, Juan J. & Rodríguez-López, Rosana, 2006. "Bounded solutions for fuzzy differential and integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1376-1386.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:5:p:1376-1386
    DOI: 10.1016/j.chaos.2005.05.012
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    References listed on IDEAS

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    1. Abbasbandy, S. & Nieto, Juan J. & Alavi, M., 2005. "Tuning of reachable set in one dimensional fuzzy differential inclusions," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1337-1341.
    2. El Naschie, M.S., 2005. "From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 969-977.
    3. Liu, Xingwen & Zhang, Hongbin, 2005. "Stability analysis of uncertain fuzzy large-scale system," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1107-1122.
    4. Tanaka, Yosuke & Mizuno, Yuzi & Kado, Tatsuhiko, 2005. "Chaotic dynamics in the Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 407-422.
    5. Caldas, M. & Jafari, S., 2005. "θ-Compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 229-232.
    6. D. N. Georgiou & I. E. Kougias, 2002. "Bounded solutions for fuzzy integral equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 31, pages 1-6, January.
    7. Zhang, Hongbin & Liao, Xiaofeng & Yu, Juebang, 2005. "Fuzzy modeling and synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 835-843.
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    Cited by:

    1. S. K. Gupta & Debasis Dangar, 2010. "Duality in fuzzy quadratic programming with exponential membership functions," Fuzzy Information and Engineering, Springer, vol. 2(4), pages 337-346, December.
    2. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
    3. Nadjafikhah, M. & Bakhshandeh-Chamazkoti, R., 2009. "Fuzzy differential invariant (FDI)," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1677-1683.
    4. Liu, Shiang-Tai, 2009. "A revisit to quadratic programming with fuzzy parameters," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1401-1407.
    5. Liu, Shiang-Tai, 2009. "Quadratic programming with fuzzy parameters: A membership function approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 237-245.

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