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International Journal of Computer Mathematics Volume 86, 2009 - Issue 4
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Section B

A method for solving nth order fuzzy linear differential equations

T. Allahviranloo Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, IranCorrespondence[email protected]
,
E. Ahmady Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, Iran
&
N. Ahmady Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, Iran
Pages 730-742 | Received 16 Dec 2006, Accepted 23 Sep 2007, Published online: 24 Mar 2009

References

  • Abbasbandy , S. and Allahviranloo , T. 2002 . Numerical solutions of fuzzy differential equations by taylor method . Comput. Methods Appl. Math. , 2 : 113 – 124 .
  • Abbasbandy , S. and Allahviranloo , T. 2004 . Extrapolation methods for improvig solution of fuzzy differential equations . Math. Comput. Appl. , 9 : 205 – 214 .
  • Abbasbandy , S. 2004 . Numerical methods for fuzzy differential inclusions . Comput. Math. Appl. , 48 ( 10–11 ) : 1633 – 1641 .
  • Abbasbandy , S. , Nieto , J. J. and Alavi , M. 2005 . Tuning of reachable set in one dimensional fuzzy differential inclusions . Chaos Solitons Fractals , 26 : 1337 – 1341 .
  • Allahviranloo , T. 2004 . Numerical methods for fuzzy system of linear equations . Appl. Math. Comput. , 155 : 493 – 502 .
  • Babolian , E. 2004 . Numerical solution of Fuzzy differential equation by Adomian method . Appl. Math. Comput. , 149 : 547 – 557 .
  • Buckley , J. J. and Feuring , T. 2001 . Fuzzy initial value problem for n-th order differential equations . Fuzzy Sets Syst. , 121 : 247 – 255 .
  • Chang , S. L. and Zadeh , L. A. 1972 . On fuzzy mapping and control . IEEE Trans. Syst. Man Cybern. , 2 : 30 – 34 .
  • Dubois , D. and Prade , H. 1982 . Towards fuzzy differential calculus: part 3, differentiation . Fuzzy Sets Syst. , 8 : 225 – 233 .
  • Friedman , M. , Ma , M. and Kandel , A. 1999 . Numerical solutions of fuzzy differential and integral equations . Fuzzy Sets and Syst. , 106 : 35 – 48 .
  • Georgiou , D. N. , Nieto , J. J. and Rodriguez-Lopez , R. 2005 . Initial value problems for higher Fuzzy differential equation . Nonlinear Anal. , 63 : 587 – 600 .
  • Goetschel , R. and Voxman , W. 1986 . Elementary fuzzy calculus . Fuzzy Sets Syst. , 18 : 31 – 43 .
  • Hullermeier , E. 1999 . Numerical methods for fuzzy initial value problems . Int. J. Uncertainly, Fuzziness and Know.-Based Syst. , 7 : 439 – 461 .
  • Kaleva , O. 1987 . Fuzzy differential equations . Fuzzy Sets Syst. , 24 : 301 – 317 .
  • Kaleva , O. 1990 . The Cauchy problem for Fuzzy differential equations . Fuzzy Sets and Syst. , 35 : 389 – 396 .
  • Petrovski , I. G. 1966 . Ordinary Differential Equations , Englewood Cliffs, N.J : Prentice-Hall .
  • Puri , M. L. and Ralescu , D. A. 1983 . Differentials of fuzzy functions . J. math. Anal. Appl. , 91 : 552 – 558 .
  • Seikkala , S. 1987 . On the fuzzy initial value problem . Fuzzy Sets Syst. , 24 : 319 – 330 .

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