메뉴 건너뛰기




Volumn 2009, Issue , 2009, Pages

Application of variational iteration method to fractional hyperbolic partial differential equations

Author keywords

[No Author keywords available]

Indexed keywords

EXACT SOLUTION; GAUSS ELIMINATION METHODS; HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION; NUMERICAL RESULTS; RAPID CONVERGENCE; VARIATIONAL ITERATION METHOD; VARIATIONAL ITERATION TECHNIQUE;

EID: 75649151056     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2009/824385     Document Type: Article
Times cited : (20)

References (30)
  • 1
    • 36249022993 scopus 로고    scopus 로고
    • San Diego, Calif, USA Academic Press Mathematics in Science and Engineering
    • Podlubny I., Fractional Differential Equations 1999 198 San Diego, Calif, USA Academic Press xxiv+340 Mathematics in Science and Engineering
    • (1999) Fractional Differential Equations , vol.198 , pp. 340
    • Podlubny, I.1
  • 3
    • 0038076411 scopus 로고
    • Fractional derivatives and special functions
    • Lavoie J.-L., Osler T. J., Tremblay R., Fractional derivatives and special functions SIAM Review 1976 18 2 240 268
    • (1976) SIAM Review , vol.18 , Issue.2 , pp. 240-268
    • Lavoie, J.-L.1    Osler, T.J.2    Tremblay, R.3
  • 4
    • 34247363210 scopus 로고    scopus 로고
    • Fractional derivative as fractional power of derivative
    • Tarasov V. E., Fractional derivative as fractional power of derivative International Journal of Mathematics 2007 18 3 281 299
    • (2007) International Journal of Mathematics , vol.18 , Issue.3 , pp. 281-299
    • Tarasov, V.E.1
  • 5
    • 9744276851 scopus 로고    scopus 로고
    • Numerical methods for multi-term fractional (arbitrary) orders differential equations
    • El-Mesiry A. E. M., El-Sayed A. M. A., El-Saka H. A. A., Numerical methods for multi-term fractional (arbitrary) orders differential equations Applied Mathematics and Computation 2005 160 3 683 699
    • (2005) Applied Mathematics and Computation , vol.160 , Issue.3 , pp. 683-699
    • El-Mesiry, A.E.M.1    El-Sayed, A.M.A.2    El-Saka, H.A.A.3
  • 6
    • 33750347868 scopus 로고    scopus 로고
    • Fractional-order differential equations with memory and fractional-order relaxation-oscillation model
    • El-Sayed A. M. A., Gaafar F. M., Fractional-order differential equations with memory and fractional-order relaxation-oscillation model Pure Mathematics and Applications 2001 12 3 296 310
    • (2001) Pure Mathematics and Applications , vol.12 , Issue.3 , pp. 296-310
    • El-Sayed, A.M.A.1    Gaafar, F.M.2
  • 7
    • 70450183004 scopus 로고    scopus 로고
    • Numerical solution for multi-term fractional (arbitrary) orders differential equations
    • El-Sayed A. M. A., El-Mesiry A. E. M., El-Saka H. A. A., Numerical solution for multi-term fractional (arbitrary) orders differential equations Computational Applied Mathematics 2004 23 1 33 54
    • (2004) Computational Applied Mathematics , vol.23 , Issue.1 , pp. 33-54
    • El-Sayed, A.M.A.1    El-Mesiry, A.E.M.2    El-Saka, H.A.A.3
  • 9
    • 0002731965 scopus 로고    scopus 로고
    • Stability results for fractional differential equations with applications to control processing
    • Lille, France IMACS, IEEE-SMC
    • Matignon D., Stability results for fractional differential equations with applications to control processing Computational Engineering in System Application, Vol. 2 1996 Lille, France IMACS, IEEE-SMC 963 968
    • (1996) Computational Engineering in System Application, Vol. 2 , pp. 963-968
    • Matignon, D.1
  • 10
    • 67349239828 scopus 로고    scopus 로고
    • A note on fractional derivatives and fractional powers of operators
    • Ashyralyev A., A note on fractional derivatives and fractional powers of operators Journal of Mathematical Analysis and Applications 2009 357 1 232 236
    • (2009) Journal of Mathematical Analysis and Applications , vol.357 , Issue.1 , pp. 232-236
    • Ashyralyev, A.1
  • 13
    • 0031441505 scopus 로고    scopus 로고
    • Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics
    • He J.-H., Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics International Journal of Turbo and Jet Engines 1997 14 1 23 28
    • (1997) International Journal of Turbo and Jet Engines , vol.14 , Issue.1 , pp. 23-28
    • He, J.-H.1
  • 14
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product nonlinearities
    • He J.-H., Approximate solution of nonlinear differential equations with convolution product nonlinearities Computer Methods in Applied Mechanics and Engineering 1998 167 1-2 69 73
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.167 , Issue.12 , pp. 69-73
    • He, J.-H.1
  • 15
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J.-H., Approximate analytical solution for seepage flow with fractional derivatives in porous media Computer Methods in Applied Mechanics and Engineering 1998 167 1-2 57 68
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.167 , Issue.12 , pp. 57-68
    • He, J.-H.1
  • 16
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration methoda kind of non-linear analytical technique: Some examples
    • He J.-H., Variational iteration methoda kind of non-linear analytical technique: some examples International Journal of Non-Linear Mechanics 1999 34 4 699 708
    • (1999) International Journal of Non-Linear Mechanics , vol.34 , Issue.4 , pp. 699-708
    • He, J.-H.1
  • 17
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.-H., Variational iteration method for autonomous ordinary differential systems Applied Mathematics and Computation 2000 114 2-3 115 123
    • (2000) Applied Mathematics and Computation , vol.114 , Issue.23 , pp. 115-123
    • He, J.-H.1
  • 20
    • 0041621600 scopus 로고    scopus 로고
    • Variational principles for some nonlinear partial differential equations with variable coefficients
    • He J.-H., Variational principles for some nonlinear partial differential equations with variable coefficients Chaos, Solitons Fractals 2004 19 4 847 851
    • (2004) Chaos, Solitons Fractals , vol.19 , Issue.4 , pp. 847-851
    • He, J.-H.1
  • 22
    • 34548384362 scopus 로고    scopus 로고
    • Numerical methods for nonlinear partial differential equations of fractional order
    • DOI 10.1016/j.apm.2006.10.025, PII S0307904X06002800
    • Odibat Z., Momani S., Numerical methods for nonlinear partial differential equations of fractional order Applied Mathematical Modelling 2008 32 1 28 39 (Pubitemid 47355246)
    • (2008) Applied Mathematical Modelling , vol.32 , Issue.1 , pp. 28-39
    • Odibat, Z.1    Momani, S.2
  • 24
    • 24944474278 scopus 로고    scopus 로고
    • Application of Hes variational iteration method to Helmholtz equation
    • Momani S., Abuasad S., Application of Hes variational iteration method to Helmholtz equation Chaos, Solitons Fractals 2006 27 5 1119 1123
    • (2006) Chaos, Solitons Fractals , vol.27 , Issue.5 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 25
    • 33748425302 scopus 로고    scopus 로고
    • Numerical comparison of methods for solving linear differential equations of fractional order
    • Momani S., Odibat Z., Numerical comparison of methods for solving linear differential equations of fractional order Chaos, Solitons Fractals 2007 31 5 1248 1255
    • (2007) Chaos, Solitons Fractals , vol.31 , Issue.5 , pp. 1248-1255
    • Momani, S.1    Odibat, Z.2
  • 27
    • 70349920771 scopus 로고    scopus 로고
    • On the numerical solution of fractional hyperbolic partial differential equations
    • Ashyralyev A., Dal F., Pinar Z., On the numerical solution of fractional hyperbolic partial differential equations Mathematical Problems in Engineering 2009 2009 11
    • (2009) Mathematical Problems in Engineering , vol.2009 , pp. 11
    • Ashyralyev, A.1    Dal, F.2    Pinar, Z.3
  • 30
    • 11144306903 scopus 로고    scopus 로고
    • A note on the difference schemes for hyperbolic equations
    • Ashyralyev A., Sobolevskii P. E., A note on the difference schemes for hyperbolic equations Abstract and Applied Analysis 2001 6 2 63 70
    • (2001) Abstract and Applied Analysis , vol.6 , Issue.2 , pp. 63-70
    • Ashyralyev, A.1    Sobolevskii, P.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.