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Volumn 16, Issue 3, 2011, Pages 1154-1163

A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order

Author keywords

CAS wavelets; Fractional calculus; Fredholm integro differential equations

Indexed keywords

CALCULATIONS; FREDHOLM INTEGRAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS;

EID: 77957338653     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.05.036     Document Type: Review
Times cited : (149)

References (30)
  • 1
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms I
    • Beylkin G., Coifman R., Rokhlin V. Fast wavelet transforms and numerical algorithms I. Commun Pure Appl Math 1991, 44:141-183.
    • (1991) Commun Pure Appl Math , vol.44 , pp. 141-183
    • Beylkin, G.1    Coifman, R.2    Rokhlin, V.3
  • 2
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent II
    • Caputo M. Linear models of dissipation whose Q is almost frequency independent II. Geophys J R Astron Soc 1967, 13:529-539.
    • (1967) Geophys J R Astron Soc , vol.13 , pp. 529-539
    • Caputo, M.1
  • 5
    • 7544235868 scopus 로고    scopus 로고
    • Density functional method based on wavelets for quantum-classical systems
    • Chuev G.N., Fedorov M.V. Density functional method based on wavelets for quantum-classical systems. Int J Quantum Chem 2004, 100(4):539-547.
    • (2004) Int J Quantum Chem , vol.100 , Issue.4 , pp. 539-547
    • Chuev, G.N.1    Fedorov, M.V.2
  • 6
    • 1142291799 scopus 로고    scopus 로고
    • Wavelet treatment of structure and thermodynamics of simple liquids
    • Chuev G.N., Fedorov M.V. Wavelet treatment of structure and thermodynamics of simple liquids. J Chem Phys 2004, 120:1191-1196.
    • (2004) J Chem Phys , vol.120 , pp. 1191-1196
    • Chuev, G.N.1    Fedorov, M.V.2
  • 7
    • 3142668342 scopus 로고    scopus 로고
    • Wavelet algorithm for solving integral equations of molecular liquids. A test for reference interaction site model
    • Chuev G.N., Fedorov M.V. Wavelet algorithm for solving integral equations of molecular liquids. A test for reference interaction site model. J Comput Chem 2004, 25:1369-1377.
    • (2004) J Comput Chem , vol.25 , pp. 1369-1377
    • Chuev, G.N.1    Fedorov, M.V.2
  • 8
    • 52649148502 scopus 로고    scopus 로고
    • Hydration of ionic species studied by the reference interaction site model with a repulsive bridge correction
    • Chuev G.N., Fedorov M.V., Chiodo S., Russo N., Sicilia E. Hydration of ionic species studied by the reference interaction site model with a repulsive bridge correction. J Comput Chem 2008, 29(14):2406-2415.
    • (2008) J Comput Chem , vol.29 , Issue.14 , pp. 2406-2415
    • Chuev, G.N.1    Fedorov, M.V.2    Chiodo, S.3    Russo, N.4    Sicilia, E.5
  • 9
    • 35648972674 scopus 로고    scopus 로고
    • Improved estimates for hydration free energy obtained by the reference interaction site model
    • Chuev G.N., Fedorov M.V., Crain J. Improved estimates for hydration free energy obtained by the reference interaction site model. Chem Phys Lett 2007, 448:198-202.
    • (2007) Chem Phys Lett , vol.448 , pp. 198-202
    • Chuev, G.N.1    Fedorov, M.V.2    Crain, J.3
  • 11
    • 39149140685 scopus 로고    scopus 로고
    • Application of generalized differential transform method to multi-order fractional differential equations
    • Erturk V.S., Momani S., Odibat Z. Application of generalized differential transform method to multi-order fractional differential equations. Commun Nonlinear Sci Numer Simulat 2008, 13:1642-1654.
    • (2008) Commun Nonlinear Sci Numer Simulat , vol.13 , pp. 1642-1654
    • Erturk, V.S.1    Momani, S.2    Odibat, Z.3
  • 12
    • 37649033106 scopus 로고    scopus 로고
    • Wavelet treatment of the intrachain correlation functions of homopolymers in dilute solutions
    • 051803 1-13
    • Fedorov M.V., Chuev G.N., Kuznetsov Yu.A., Timoshenko E.G. Wavelet treatment of the intrachain correlation functions of homopolymers in dilute solutions. Phys Rev E 2004, 70. 051803 1-13.
    • (2004) Phys Rev E , vol.70
    • Fedorov, M.V.1    Chuev, G.N.2    Kuznetsov, Y.A.3    Timoshenko, E.G.4
  • 13
    • 34249104564 scopus 로고    scopus 로고
    • A structured low-rank wavelet solver for the Ornstein-Zernike integral equation
    • Fedorov M.V., Flad H-J., Chuev G.N., Grasedyck L., Khoromskij B.N. A structured low-rank wavelet solver for the Ornstein-Zernike integral equation. Computing 2007, 80:47-73.
    • (2007) Computing , vol.80 , pp. 47-73
    • Fedorov, M.V.1    Flad, H.-J.2    Chuev, G.N.3    Grasedyck, L.4    Khoromskij, B.N.5
  • 14
    • 18144375589 scopus 로고    scopus 로고
    • Wavelet method for solving integral equations of simple liquids
    • Fedorov M.V., Chuev G.N. Wavelet method for solving integral equations of simple liquids. J Mol Liq 2005, 120:159-162.
    • (2005) J Mol Liq , vol.120 , pp. 159-162
    • Fedorov, M.V.1    Chuev, G.N.2
  • 15
    • 33847296148 scopus 로고    scopus 로고
    • Unravelling the solvent response to neutral and charged solutes
    • Fedorov M.V., Kornyshev A.A. Unravelling the solvent response to neutral and charged solutes. Mol Phys 2007, 105(1):1-16.
    • (2007) Mol Phys , vol.105 , Issue.1 , pp. 1-16
    • Fedorov, M.V.1    Kornyshev, A.A.2
  • 16
    • 85196167497 scopus 로고    scopus 로고
    • Nonlinear oscillation with fractional derivative and its applications. In: International conference on vibrating engineering'98. China: Dalian;
    • He JH. Nonlinear oscillation with fractional derivative and its applications. In: International conference on vibrating engineering'98. China: Dalian; 1998. p. 288-91.
    • (1998) , pp. 288-291
    • He, J.H.1
  • 17
    • 0347763940 scopus 로고    scopus 로고
    • Some applications of nonlinear fractional differential equations and their approximations
    • He J.H. Some applications of nonlinear fractional differential equations and their approximations. Bull Sci Technol 1999, 15(2):86-90.
    • (1999) Bull Sci Technol , vol.15 , Issue.2 , pp. 86-90
    • He, J.H.1
  • 18
    • 0001307413 scopus 로고
    • Exact solutions to the KdV-Burgers equation
    • Jeffrey A., Mohamad M.N.B. Exact solutions to the KdV-Burgers equation. Wave Motion 1991, 14:369-375.
    • (1991) Wave Motion , vol.14 , pp. 369-375
    • Jeffrey, A.1    Mohamad, M.N.B.2
  • 19
    • 34247336205 scopus 로고    scopus 로고
    • Kronecker operational matrices for fractional calculus and some applications
    • Kilicman A., Al Zhour Z.A.A. Kronecker operational matrices for fractional calculus and some applications. Appl Math Comput 2007, 187(1):25065.
    • (2007) Appl Math Comput , vol.187 , Issue.1 , pp. 25065
    • Kilicman, A.1    Al Zhour, Z.A.A.2
  • 21
    • 0001983732 scopus 로고    scopus 로고
    • Fractional calculus: some basic problems in continuum and statistical mechanics
    • Springer-Verlag, New York, A. Carpinteri, F. Mainardi (Eds.)
    • Mainardi F. Fractional calculus: some basic problems in continuum and statistical mechanics. Fractals and fractional calculus in continuum mechanics 1997, Springer-Verlag, New York. A. Carpinteri, F. Mainardi (Eds.).
    • (1997) Fractals and fractional calculus in continuum mechanics
    • Mainardi, F.1
  • 22
    • 33750841854 scopus 로고    scopus 로고
    • Numerical methods for fourth order fractional integro-differential equations
    • Momani S., Noor M. Numerical methods for fourth order fractional integro-differential equations. Appl Math Comput 2006, 182:754-760.
    • (2006) Appl Math Comput , vol.182 , pp. 754-760
    • Momani, S.1    Noor, M.2
  • 26
    • 33646161468 scopus 로고    scopus 로고
    • Numerical solution of fractional integro-differential equations by collocation method
    • Rawashdeh E. Numerical solution of fractional integro-differential equations by collocation method. Appl Math Comput 2006, 176:16.
    • (2006) Appl Math Comput , vol.176 , pp. 16
    • Rawashdeh, E.1
  • 27
    • 55749086649 scopus 로고    scopus 로고
    • Analytical solution for the space fractional diffusion equation by two-step adomian decomposition method
    • Ray S.S. Analytical solution for the space fractional diffusion equation by two-step adomian decomposition method. Commun Nonlinear Sci Numer Simulat 2009, 14:1295-1306.
    • (2009) Commun Nonlinear Sci Numer Simulat , vol.14 , pp. 1295-1306
    • Ray, S.S.1
  • 28
    • 0030651602 scopus 로고    scopus 로고
    • Analysis and design of fractional-order digital control systems
    • Tenreiro Machado J.A. Analysis and design of fractional-order digital control systems. Sys Anal Modell Simul 1997, 27(2-3):107-122.
    • (1997) Sys Anal Modell Simul , vol.27 , Issue.2-3 , pp. 107-122
    • Tenreiro Machado, J.A.1
  • 29
    • 0347821899 scopus 로고
    • The exact solution of the modified Korteweg-de Vries equation
    • Wadati M. The exact solution of the modified Korteweg-de Vries equation. J Phys Soc Jpn 1972, 32:1681-1687.
    • (1972) J Phys Soc Jpn , vol.32 , pp. 1681-1687
    • Wadati, M.1
  • 30
    • 0010224969 scopus 로고
    • Exact and explicit solitary wave solutions for the generalized Fisher equation
    • Wang X.Y. Exact and explicit solitary wave solutions for the generalized Fisher equation. Phys Lett A 1988, 131:277-279.
    • (1988) Phys Lett A , vol.131 , pp. 277-279
    • Wang, X.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.