SCOPUS 정보 검색 플랫폼

Applied Mathematics and Computation

Volumn 161, Issue 3, 2005, Pages 733-744

Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method

(3) Babolian, E a Goghary, H Sadeghi b,c Abbasbandy, S d

a KHARAZMI UNIVERSITY (Iran)

b ISLAMIC AZAD UNIVERSITY (Iran)

c ISLAMIC AZAD UNIVERSITY (Iran)

d IMAM KHOMEINI INTERNATIONAL UNIVERSITY (Iran)

Author keywords

Adomian method; Fuzzy integral equations; System of linear Fredholm integral equations of the second kind

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; FUNCTION EVALUATION; FUZZY CONTROL; FUZZY SETS; LINEAR EQUATIONS; LINEAR SYSTEMS; NUMERICAL METHODS;

ADOMIAN METHOD; FUZZY DIFFERENTIAL EQUATIONS; FUZZY INTEGRAL EQUATIONS; SYSTEM OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND;

INTEGRAL EQUATIONS;

EID: 10644229161 PISSN: 00963003 EISSN: None Source Type: Journal
DOI: 10.1016/j.amc.2003.12.071 Document Type: Article

Times cited : (94)

References (32)

1
- 0041185368
- A review of the decomposition method in applied mathematics
- G. Adomian, A review of the decomposition method in applied mathematics, J. Math. Anal. Appl. 135 (1988) 501-544.
- (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
- Adomian, G.¹

2
- 0004083804
- Solving frontier problems of physics
- Kluwer, Boston
- G. Adomian, Solving Frontier Problems of Physics. The Decomposition Method, Kluwer, Boston, 1994.
- The Decomposition Method , pp. 1994
- Adomian, G.¹

3
- 0021481935
- Fixed point theorems for fuzzy numbers
- R. Badard, Fixed point theorems for fuzzy numbers, Fuzzy Sets Systems 13 (1984) 291-302.
- (1984) Fuzzy Sets Systems , vol.13 , pp. 291-302
- Badard, R.¹

4
- 38249019900
- Fuzzy eigenvalues and input-output analysis
- J.J. Buckley, Fuzzy eigenvalues and input-output analysis, Fuzzy Sets Systems 34 (1990) 187-195.
- (1990) Fuzzy Sets Systems , vol.34 , pp. 187-195
- Buckley, J.J.¹

5
- 0015285368
- On fuzzy mapping and control
- S.S.L. Chang, L. Zadeh, On fuzzy mapping and control, IEEE Trans. Systems Man Cybernet. 2 (1972) 30-34.
- (1972) IEEE Trans. Systems Man Cybernet. , vol.2 , pp. 30-34
- Chang, S.S.L.¹ Zadeh, L.²

6
- 0041126271
- On the integrals, series and integral equations of fuzzy set-valued functions
- C. Wu, M. Ma, On the integrals, series and integral equations of fuzzy set-valued functions, J. Harbin Inst. Technol. 21 (1990) 11-19.
- (1990) J. Harbin Inst. Technol. , vol.21 , pp. 11-19
- Wu, C.¹ Ma, M.²

7
- 38249022201
- Characterization of compact sets of fuzzy sets
- P. Diamond, P.E. Kloeden, Characterization of compact sets of fuzzy sets. Fuzzy Sets Systems 29 (1989) 341-348.
- (1989) Fuzzy Sets Systems , vol.29 , pp. 341-348
- Diamond, P.¹ Kloeden, P.E.²

8
- 0040971094
- Existence and stability of fuzzy differential equations
- Z. Ding, A. Kandel, Existence and stability of fuzzy differential equations, J. Fuzzy Math. 5 (1997) 681-697.
- (1997) J. Fuzzy Math. , vol.5 , pp. 681-697
- Ding, Z.¹ Kandel, A.²

9
- 84871983806
- Operations on fuzzy numbers
- D. Dubois, H. Prade, Operations on fuzzy numbers, J. Systems Sci. 9 (1978) 613-626.
- (1978) J. Systems Sci. , vol.9 , pp. 613-626
- Dubois, D.¹ Prade, H.²

10
- 0020142384
- Towards fuzzy differential calculus
- D. Dubois, H. Prade, Towards fuzzy differential calculus, Fuzzy Sets Systems 8 (1982) 1-7.
- (1982) Fuzzy Sets Systems , vol.8 , pp. 1-7
- Dubois, D.¹ Prade, H.²

11
- 0040971084
- Numerical methods for calculating the fuzzy integral
- M. Friedman, M. Ma, A. Kandel, Numerical methods for calculating the fuzzy integral, Fuzzy Sets Systems 83 (1996) 57-62.
- (1996) Fuzzy Sets Systems , vol.83 , pp. 57-62
- Friedman, M.¹ Ma, M.² Kandel, A.³

12
- 0009933836
- Numerical solutions of fuzzy differential and integral equations
- M. Friedman, M. Ma, A. Kandel, Numerical solutions of fuzzy differential and integral equations, Fuzzy Sets Systems 106 (1999) 35-48.
- (1999) Fuzzy Sets Systems , vol.106 , pp. 35-48
- Friedman, M.¹ Ma, M.² Kandel, A.³

13
- 46149135272
- Elementary calculus
- R. Goetschel, W. Voxman, Elementary calculus, Fuzzy Sets Systems 18 (1986) 31-43.
- (1986) Fuzzy Sets Systems , vol.18 , pp. 31-43
- Goetschel, R.¹ Voxman, W.²

14
- 0039192216
- Eigen fuzzy number sets
- R. Goetschel, W. Voxman, Eigen fuzzy number sets, Fuzzy Sets Systems 16 (1985) 75-85.
- (1985) Fuzzy Sets Systems , vol.16 , pp. 75-85
- Goetschel, R.¹ Voxman, W.²

15
- 0004002099
- Wiley, New York
- H. Hochstadt, Integral Equations, Wiley, New York, 1973.
- (1973) Integral Equations
- Hochstadt, H.¹

16
- 0023573517
- Fuzzy differential equations
- O. Kaleva, Fuzzy differential equations, Fuzzy Sets Systems 24 (1987) 301-317.
- (1987) Fuzzy Sets Systems , vol.24 , pp. 301-317
- Kaleva, O.¹

17
- 0017973187
- Fuzzy statistics and forecast evaluation
- A. Kandel, Fuzzy statistics and forecast evaluation, IEEE Trans. Systems Man Cybernet. 8 (1978) 396-401.
- (1978) IEEE Trans. Systems Man Cybernet. , vol.8 , pp. 396-401
- Kandel, A.¹

18
- 38248998705
- p)
- p), Fuzzy Sets Systems 56 (1993) 297-301.
- (1993) Fuzzy Sets Systems , vol.56 , pp. 297-301
- Ma, M.¹

19
- 0037807009
- The four operations of arithmetic on fuzzy numbers
- M. Mizumoto, K. Tanaka, The four operations of arithmetic on fuzzy numbers, Systems - Comput.-Controls 7 (5) (1976) 73-81.
- (1976) Systems - Comput.-controls , vol.7 , Issue.5 , pp. 73-81
- Mizumoto, M.¹ Tanaka, K.²

20
- 0002194031
- Fuzzy variables
- S. Nahmias, Fuzzy variables, Fuzzy Sets Systems 1 (1978) 97-111.
- (1978) Fuzzy Sets Systems , vol.1 , pp. 97-111
- Nahmias, S.¹

21
- 38249007466
- On integration of fuzzy mappings
- S. Nanda, On integration of fuzzy mappings, Fuzzy Sets Systems 32 (1989) 95-101.
- (1989) Fuzzy Sets Systems , vol.32 , pp. 95-101
- Nanda, S.¹

22
- 49349119632
- A note on the extension principle for fuzzy sets
- H.T. Nguyen, A note on the extension principle for fuzzy sets, J. Math. Anal. Appl. 64 (1978) 369-380.
- (1978) J. Math. Anal. Appl. , vol.64 , pp. 369-380
- Nguyen, H.T.¹

23
- 0029275363
- Fuzzy inputs
- R. Palm, D. Driankov, Fuzzy inputs, Fuzzy Sets Systems 70 (1995) 315-335.
- (1995) Fuzzy Sets Systems , vol.70 , pp. 315-335
- Palm, R.¹ Driankov, D.²

24
- 0000662171
- Existence of solutions of fuzzy integral equations in banaeh spaces
- J.Y. Park, Y.C. Kwan, J.V. Jeong, Existence of solutions of fuzzy integral equations in banaeh spaces, Fuzzy Sets Systems 72 (1995) 373-378.
- (1995) Fuzzy Sets Systems , vol.72 , pp. 373-378
- Park, J.Y.¹ Kwan, Y.C.² Jeong, J.V.³

25
- 0001237908
- Differential for fuzzy function
- M.L. Puri, D. Ralescu, Differential for fuzzy function, J. Math. Anal. Appl. 91 (1983) 552-558.
- (1983) J. Math. Anal. Appl. , vol.91 , pp. 552-558
- Puri, M.L.¹ Ralescu, D.²

26
- 0000565701
- The concept of normality for fuzzy random variables
- M.L. Puri, D. Ralescu, The concept of normality for fuzzy random variables, Ann. Probab. 13 (1985) 1373-1379.
- (1985) Ann. Probab. , vol.13 , pp. 1373-1379
- Puri, M.L.¹ Ralescu, D.²

27
- 0022674414
- Fuzzy random variables
- M.L. Puri, D. Ralescu, Fuzzy random variables, J. Math. Anal. Appl. 114 (1986) 409-422.
- (1986) J. Math. Anal. Appl. , vol.114 , pp. 409-422
- Puri, M.L.¹ Ralescu, D.²

28
- 0026205091
- Solutions of algebraic equations involving generalized fuzzy number
- R. Zhao, R. Govind, Solutions of algebraic equations involving generalized fuzzy number, Inform. Sci. 56 (1991) 199-243.
- (1991) Inform. Sci. , vol.56 , pp. 199-243
- Zhao, R.¹ Govind, R.²

29
- 0003591772
- Ph.D. thesis, Tokyo Institute of Technology
- M. Sugeno, Theory of Fuzzy Integrals and Its Application, Ph.D. thesis, Tokyo Institute of Technology, 1974.
- (1974) Theory of Fuzzy Integrals and Its Application
- Sugeno, M.¹

30
- 34248666540
- Fuzzy sets
- L.A. Zadeh, Fuzzy sets, Inform. Control 8 (1965) 338-353.
- (1965) Inform. Control , vol.8 , pp. 338-353
- Zadeh, L.A.¹

31
- 84907110916
- Linguistic variables, approximate reasoning and disposition
- L.A. Zadeh, Linguistic variables, approximate reasoning and disposition, Med. Inform. 8 (1983) 173-186.
- (1983) Med. Inform. , vol.8 , pp. 173-186
- Zadeh, L.A.¹

32
- 49349136235
- Fuzzy programming and linear programming with several objective functions
- H.J. Zimmerman, Fuzzy programming and linear programming with several objective functions, Fuzzy Sets Systems 1 (1978) 45-55.
- (1978) Fuzzy Sets Systems , vol.1 , pp. 45-55
- Zimmerman, H.J.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.