메뉴 건너뛰기




Volumn 2009, Issue , 2009, Pages

On the numerical solution of fractional hyperbolic partial differential equations

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE SCHEMES; GAUSS ELIMINATION METHODS; HYPERBOLIC EQUATIONS; HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION; MIXED PROBLEM; NUMERICAL SOLUTION; SECOND ORDERS; STABILITY ESTIMATES;

EID: 70349920771     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2009/730465     Document Type: Article
Times cited : (22)

References (27)
  • 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
  • 8
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • Vienna, Austria Springer CISM Courses and Lectures
    • Gorenflo R., Mainardi F., Carpinteri A., Mainardi F., Fractional calculus: integral and differential equations of fractional order Fractals and Fractional Calculus in Continuum Mechanics 1997 378 Vienna, Austria Springer 223 276 CISM Courses and Lectures
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , vol.378 , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2    Carpinteri, A.3    Mainardi, F.4
  • 9
    • 0002731965 scopus 로고    scopus 로고
    • Stability results for fractional differential equations with applications to control processing
    • Lille, France
    • Matignon D., Stability results for fractional differential equations with applications to control processing Computational Engineering in System Application 1996 2 Lille, France
    • (1996) Computational Engineering in System Application , vol.2
    • 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
    • 11144294245 scopus 로고
    • Approximate solution by method of lines of the Cauchy problem for an abstract hyperbolic equations
    • Sobolevskii P. E., Chebotaryeva L. M., Approximate solution by method of lines of the Cauchy problem for an abstract hyperbolic equations Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika 1977 5 103 116
    • (1977) Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika , vol.5 , pp. 103-116
    • Sobolevskii, P.E.1    Chebotaryeva, L.M.2
  • 15
    • 11144295791 scopus 로고    scopus 로고
    • A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations
    • DOI 10.1081/NFA-200041711
    • Ashyralyev A., Aggez N., A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations Numerical Functional Analysis and Optimization 2004 25 5-6 439 462 (Pubitemid 40025768)
    • (2004) Numerical Functional Analysis and Optimization , vol.25 , Issue.5-6 , pp. 439-462
    • Ashyralyev, A.1    Aggez, N.2
  • 18
    • 70349950863 scopus 로고    scopus 로고
    • On nonlocal boundary value problems for hyperbolic-parabolic equations
    • Ashyralyev A., Ozdemir Y., On nonlocal boundary value problems for hyperbolic-parabolic equations Taiwanese Journal of Mathematics 2007 11 4 1075 1089
    • (2007) Taiwanese Journal of Mathematics , vol.11 , Issue.4 , pp. 1075-1089
    • Ashyralyev, A.1    Ozdemir, Y.2
  • 19
    • 77950344939 scopus 로고    scopus 로고
    • On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations
    • Ashyralyev A., Yildirim O., On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations Taiwanese Journal of Mathematics 2009 13 22
    • (2009) Taiwanese Journal of Mathematics , vol.13 , pp. 22
    • Ashyralyev, A.1    Yildirim, O.2
  • 20
    • 0042884422 scopus 로고    scopus 로고
    • Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces
    • Samarskii A. A., Gavrilyuk I. P., Makarov V. L., Stability and regularization of three-level difference schemes with unbounded operator coefficients in Banach spaces SIAM Journal on Numerical Analysis 2001 39 2 708 723
    • (2001) SIAM Journal on Numerical Analysis , vol.39 , Issue.2 , pp. 708-723
    • Samarskii, A.A.1    Gavrilyuk, I.P.2    Makarov, V.L.3
  • 21
    • 29144436210 scopus 로고    scopus 로고
    • Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations
    • Ashyralyev A., Sobolevskii P. E., Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations Discrete Dynamics in Nature and Society 2005 2005 2 183 213
    • (2005) Discrete Dynamics in Nature and Society , vol.2005 , Issue.2 , pp. 183-213
    • Ashyralyev, A.1    Sobolevskii, P.E.2
  • 22
    • 29744442302 scopus 로고    scopus 로고
    • On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space
    • Ashyralyev A., Koksal M. E., On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space Numerical Functional Analysis and Optimization 2005 26 7-8 739 772
    • (2005) Numerical Functional Analysis and Optimization , vol.26 , Issue.78 , pp. 739-772
    • Ashyralyev, A.1    Koksal, M.E.2
  • 23
    • 55249089454 scopus 로고    scopus 로고
    • On the stability of the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space
    • Ashyralyev A., Koksal M. E., On the stability of the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space Discrete Dynamics in Nature and Society 2007 2007 26
    • (2007) Discrete Dynamics in Nature and Society , vol.2007 , pp. 26
    • Ashyralyev, A.1    Koksal, M.E.2
  • 24
    • 52149092157 scopus 로고    scopus 로고
    • A note on the stability of the integral-differential equation of the hyperbolic type in a Hilbert space
    • Ashyraliyev M., A note on the stability of the integral-differential equation of the hyperbolic type in a Hilbert space Numerical Functional Analysis and Optimization 2008 29 7-8 750 769
    • (2008) Numerical Functional Analysis and Optimization , vol.29 , Issue.78 , pp. 750-769
    • Ashyraliyev, M.1
  • 25
    • 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.