IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v26y2005i5p1337-1341.html
   My bibliography  Save this article

Tuning of reachable set in one dimensional fuzzy differential inclusions

Author

Listed:
  • Abbasbandy, S.
  • Nieto, Juan J.
  • Alavi, M.

Abstract

This paper presents a new numerical method for solving one dimensional fuzzy differential inclusions. An efficient algorithm to solve them in MAPLE has been devised, which is easy to implement.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:5:p:1337-1341
    DOI: 10.1016/j.chaos.2005.03.018
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905002729
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.03.018?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jiang, Wang & Guo-Dong, Qiao & Bin, Deng, 2005. "H∞ Variable universe adaptive fuzzy control for chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1075-1086.
    2. Tanaka, Yosuke & Mizuno, Yuzi & Kado, Tatsuhiko, 2005. "Chaotic dynamics in the Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 407-422.
    3. Caldas, M. & Jafari, S., 2005. "θ-Compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 229-232.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Abbasbandy, S. & Otadi, M. & Mosleh, M., 2008. "Minimal solution of general dual fuzzy linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1113-1124.
    2. Mahmood Otadi & Maryam Mosleh, 2012. "Solution of Fuzzy Matrix Equation System," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-8, September.
    3. Abbasbandy, S. & Adabitabar Firozja, M., 2007. "Fuzzy linguistic model for interpolation," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 551-556.
    4. Abbasbandy, S. & Babolian, E. & Alavi, M., 2007. "Numerical method for solving linear Fredholm fuzzy integral equations of the second kind," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 138-146.
    5. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
    6. Yurilev Chalco-Cano & Valeriano A. Oliveira & Geraldo N. Silva, 2015. "Description of the Attainable Sets of One-Dimensional Differential Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 138-153, January.
    7. Alan Jalal Abdulqader, 2018. "Numerical Solution for Solving System of Fuzzy Nonlinear Integral Equation by Using Modified Decomposition Method," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(1), pages 32-43, February.
    8. Thanh-Lam Nguyen, 2017. "Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews," Complexity, Hindawi, vol. 2017, pages 1-13, July.
    9. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Abbasbandy, S. & Adabitabar Firozja, M., 2007. "Fuzzy linguistic model for interpolation," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 551-556.
    2. Abbasbandy, S. & Otadi, M. & Mosleh, M., 2008. "Minimal solution of general dual fuzzy linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1113-1124.
    3. Abbasbandy, S. & Babolian, E. & Alavi, M., 2007. "Numerical method for solving linear Fredholm fuzzy integral equations of the second kind," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 138-146.
    4. Khastan, A. & Ivaz, K., 2009. "Numerical solution of fuzzy differential equations by Nyström method," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 859-868.
    5. 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.
    6. Ekici, Erdal, 2006. "More on θ-compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1157-1161.
    7. Ismat Beg & Shaban Sedghi & Nabi Shobe, 2013. "Fixed Point Theorems in Fuzzy Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-4, January.
    8. Saadati, Reza, 2008. "Notes to the paper “Fixed points in intuitionistic fuzzy metric spaces” and its generalization to L-fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 176-180.
    9. Cho, Yeol Je & Sedghi, Shaban & Shobe, Nabi, 2009. "Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2233-2244.
    10. Hanafy, I.M., 2009. "θ-Compactness in L-topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3006-3012.
    11. Saadati, R. & Sedghi, S. & Shobe, N., 2008. "Modified intuitionistic fuzzy metric spaces and some fixed point theorems," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 36-47.
    12. Goudarzi, M. & Vaezpour, S.M. & Saadati, R., 2009. "On the intuitionistic fuzzy inner product spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1105-1112.
    13. Soleimani-damaneh, M., 2008. "Fuzzy upper bounds and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 217-225.
    14. Wang, Jiang & Si, Wenjie & Li, Huiyan, 2009. "Robust ISS-satisficing variable universe indirect fuzzy control for chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 28-38.
    15. Lam, H.K., 2009. "Output-feedback synchronization of chaotic systems based on sum-of-squares approach," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2624-2629.
    16. Sedghi, Shaban & Shobe, Nabi & Žikić-Došenović, Tatjana, 2009. "A common fixed point theorem in two complete fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2590-2596.
    17. Alimohammady, M. & Roohi, M., 2006. "Compactness in fuzzy minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 906-912.
    18. Tanaka, Yosuke & Mizuno, Yuji & Kado, Tatsuhiko & Zhao, Hua-An, 2007. "Nonlinear dynamics in the relativistic field equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1054-1075.
    19. Tanaka, Yosuke & Mizuno, Yuji & Ohta, Shigetoshi & Mori, Keisuke & Horiuchi, Tanji, 2009. "Nonlinear dynamics in the Einstein–Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 533-549.
    20. Tanaka, Yosuke & Shudo, Takefumi & Yosinaga, Tetsutaro & Kimura, Hiroshi, 2008. "Relativistic field equations and nonlinear dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 941-949.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:26:y:2005:i:5:p:1337-1341. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.