메뉴 건너뛰기




Volumn 2013, Issue , 2013, Pages

Fractional subequation method for cahn-hilliard and klein-gordon equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84874533666     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2013/587179     Document Type: Article
Times cited : (57)

References (35)
  • 5
    • 0003427295 scopus 로고    scopus 로고
    • River Edge, NJ, USA World Scientific Publishing 10.1142/9789812817747 MR1890104
    • Hilfer R., Applications of Fractional Calculus in Physics 2000 River Edge, NJ, USA World Scientific Publishing 10.1142/9789812817747 MR1890104
    • (2000) Applications of Fractional Calculus in Physics
    • Hilfer, R.1
  • 7
    • 65049084831 scopus 로고    scopus 로고
    • Hackensack, NJ, USA World Scientific Publishing Series on Complexity, Nonlinearity and Chaos 10.1142/9789814355216 MR2894576
    • Baleanu D., Diethelm K., Scalas E., Trujillo J. J., Fractional Calculus: Models and Numerical Methods 2012 3 Hackensack, NJ, USA World Scientific Publishing Series on Complexity, Nonlinearity and Chaos 10.1142/9789814355216 MR2894576
    • (2012) Fractional Calculus: Models and Numerical Methods , vol.3
    • Baleanu, D.1    Diethelm, K.2    Scalas, E.3    Trujillo, J.J.4
  • 12
    • 0036027310 scopus 로고    scopus 로고
    • Lagrangean and Hamiltonian fractional sequential mechanics
    • DOI 10.1023/A:1021389004982
    • Klimek M., Lagrangean and Hamiltonian fractional sequential mechanics. Czechoslovak Journal of Physics 2002 52 11 1247 1253 10.1023/A:1021389004982 MR1966935 (Pubitemid 36224481)
    • (2002) Czechoslovak Journal of Physics , vol.52 , Issue.11 , pp. 1247-1253
    • Klimek, M.1
  • 13
    • 0036701004 scopus 로고    scopus 로고
    • Formulation of Euler-Lagrange equations for fractional variational problems
    • 10.1016/S0022-247X(02)00180-4 MR1930721
    • Agrawal O. P., Formulation of Euler-Lagrange equations for fractional variational problems. Journal of Mathematical Analysis and Applications 2002 272 1 368 379 10.1016/S0022-247X(02)00180-4 MR1930721
    • (2002) Journal of Mathematical Analysis and Applications , vol.272 , Issue.1 , pp. 368-379
    • Agrawal, O.P.1
  • 14
    • 4043139312 scopus 로고    scopus 로고
    • Lagrangians with linear velocities within Riemann-Liouville fractional derivatives
    • Baleanu D., Avkar T., Lagrangians with linear velocities within Riemann-Liouville fractional derivatives. Nuovo Cimento della Societa Italiana di Fisica B 2004 119 1 73 79 2-s2.0-4043139312 (Pubitemid 39057448)
    • (2004) Nuovo Cimento della Societa Italiana di Fisica B , vol.119 , Issue.1 , pp. 73-79
    • Baleanu, D.1    Avkar, T.2
  • 15
    • 23144435914 scopus 로고    scopus 로고
    • A note on the fractional-order Chen system
    • DOI 10.1016/j.chaos.2005.04.037, PII S0960077905003590
    • Lu J. G., Chen G., A note on the fractional-order Chen system. Chaos, Solitons and Fractals 2006 27 3 685 688 2-s2.0-23144435914 10.1016/j.chaos.2005. 04.037 (Pubitemid 41084201)
    • (2006) Chaos, Solitons and Fractals , vol.27 , Issue.3 , pp. 685-688
    • Lu, J.G.1    Chen, G.2
  • 16
    • 34248373867 scopus 로고    scopus 로고
    • Solving a multi-order fractional differential equation using adomian decomposition
    • DOI 10.1016/j.amc.2006.11.129, PII S0096300306016274
    • Daftardar-Gejji V., Jafari H., Solving a multi-order fractional differential equation using Adomian decomposition. Applied Mathematics and Computation 2007 189 1 541 548 10.1016/j.amc.2006.11.129 MR2330231 (Pubitemid 46734260)
    • (2007) Applied Mathematics and Computation , vol.189 , Issue.1 , pp. 541-548
    • Daftardar-Gejji, V.1    Jafari, H.2
  • 18
    • 84871756844 scopus 로고    scopus 로고
    • A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials
    • Jafari H., Tajadodi H., Baleanu D., A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials. Fractional Calculus and Applied Analysis 2013 16 109 122
    • (2013) Fractional Calculus and Applied Analysis , vol.16 , pp. 109-122
    • Jafari, H.1    Tajadodi, H.2    Baleanu, D.3
  • 19
    • 84871731748 scopus 로고    scopus 로고
    • He's variational iteration method for solving fractional Riccati differential equation
    • 764738 MR2607724
    • Jafari H., Tajadodi H., He's variational iteration method for solving fractional Riccati differential equation. International Journal of Differential Equations 2010 2010 8 764738 MR2607724
    • (2010) International Journal of Differential Equations , vol.2010 , pp. 8
    • Jafari, H.1    Tajadodi, H.2
  • 20
    • 80052264305 scopus 로고    scopus 로고
    • Solving a multi-order fractional differential equation using homotopy analysis method
    • Jafari H., Das S., Tajadodi H., Solving a multi-order fractional differential equation using homotopy analysis method. Journal of King Saud University 2011 23 2 151 155
    • (2011) Journal of King Saud University , vol.23 , Issue.2 , pp. 151-155
    • Jafari, H.1    Das, S.2    Tajadodi, H.3
  • 22
    • 55649099424 scopus 로고    scopus 로고
    • A finite element solution for the fractional advection-dispersion equation
    • 2-s2.0-55649099424 10.1016/j.advwatres.2008.07.002
    • Huang Q., Huang G., Zhan H., A finite element solution for the fractional advection-dispersion equation. Advances in Water Resources 2008 31 12 1578 1589 2-s2.0-55649099424 10.1016/j.advwatres.2008.07.002
    • (2008) Advances in Water Resources , vol.31 , Issue.12 , pp. 1578-1589
    • Huang, Q.1    Huang, G.2    Zhan, H.3
  • 23
    • 35348869861 scopus 로고    scopus 로고
    • Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
    • DOI 10.1016/j.chaos.2006.06.041, PII S0960077906005972
    • Odibat Z., Momani S., Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order. Chaos, Solitons & Fractals 2008 36 1 167 174 10.1016/j.chaos.2006.06.041 MR2372056 (Pubitemid 47576648)
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.1 , pp. 167-174
    • Odibat, Z.1    Momani, S.2
  • 24
    • 79251611305 scopus 로고    scopus 로고
    • A generalized exp-function method for fractional Riccati differential equations
    • Zhang S., Zong Q. A., Liu D., Gao Q., A generalized exp-function method for fractional Riccati differential equations. Communications in Fractional Calculus 2010 1 48 52
    • (2010) Communications in Fractional Calculus , vol.1 , pp. 48-52
    • Zhang, S.1    Zong, Q.A.2    Liu, D.3    Gao, Q.4
  • 25
    • 79251635229 scopus 로고    scopus 로고
    • Fractional sub-equation method and its applications to nonlinear fractional PDEs
    • 10.1016/j.physleta.2011.01.029 MR2765013
    • Zhang S., Zhang H.-Q., Fractional sub-equation method and its applications to nonlinear fractional PDEs. Physics Letters A 2011 375 7 1069 1073 10.1016/j.physleta.2011.01.029 MR2765013
    • (2011) Physics Letters A , vol.375 , Issue.7 , pp. 1069-1073
    • Zhang, S.1    Zhang, H.-Q.2
  • 26
    • 4243350479 scopus 로고
    • Solitary wave solutions for variant Boussinesq equations
    • 10.1016/0375-9601(95)00092-H MR1322452
    • Wang M. L., Solitary wave solutions for variant Boussinesq equations. Physics Letters A 1995 199 3-4 169 172 10.1016/0375-9601(95)00092-H MR1322452
    • (1995) Physics Letters A , vol.199 , Issue.3-4 , pp. 169-172
    • Wang, M.L.1
  • 27
    • 33745742268 scopus 로고    scopus 로고
    • Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results
    • 10.1016/j.camwa.2006.02.001 MR2237634
    • Jumarie G., Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results. Computers & Mathematics with Applications 2006 51 9-10 1367 1376 10.1016/j.camwa.2006.02.001 MR2237634
    • (2006) Computers & Mathematics with Applications , vol.51 , Issue.9-10 , pp. 1367-1376
    • Jumarie, G.1
  • 28
    • 77957924322 scopus 로고    scopus 로고
    • Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order
    • 10.1016/j.aml.2010.08.001 MR2718527
    • Jumarie G., Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order. Applied Mathematics Letters 2010 23 12 1444 1450 10.1016/j.aml.2010.08.001 MR2718527
    • (2010) Applied Mathematics Letters , vol.23 , Issue.12 , pp. 1444-1450
    • Jumarie, G.1
  • 29
    • 84855193408 scopus 로고    scopus 로고
    • The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
    • 10.1016/j.physleta.2011.10.056 MR2877750
    • Guo S., Mei L., Li Y., Sun Y., The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics. Physics Letters A 2012 376 4 407 411 10.1016/j.physleta. 2011.10.056 MR2877750
    • (2012) Physics Letters A , vol.376 , Issue.4 , pp. 407-411
    • Guo, S.1    Mei, L.2    Li, Y.3    Sun, Y.4
  • 30
    • 5144229861 scopus 로고    scopus 로고
    • A conservative difference scheme for the viscous Cahn-Hilliard equation with a nonconstant gradient energy coefficient
    • 10.1016/j.apnum.2004.02.006 MR2091400
    • Choo S. M., Chung S. K., Lee Y. J., A conservative difference scheme for the viscous Cahn-Hilliard equation with a nonconstant gradient energy coefficient. Applied Numerical Mathematics 2004 51 2-3 207 219 10.1016/j.apnum.2004.02.006 MR2091400
    • (2004) Applied Numerical Mathematics , vol.51 , Issue.2-3 , pp. 207-219
    • Choo, S.M.1    Chung, S.K.2    Lee, Y.J.3
  • 31
    • 0001158204 scopus 로고    scopus 로고
    • Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
    • Gurtin M. E., Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Physica D 1996 92 3-4 178 192 10.1016/0167-2789(95)00173-5 MR1387065 (Pubitemid 126687319)
    • (1996) Physica D: Nonlinear Phenomena , vol.92 , Issue.3-4 , pp. 178-192
    • Gurtin, M.E.1
  • 32
    • 34249662156 scopus 로고    scopus 로고
    • A numerical method for the Cahn-Hilliard equation with a variable mobility
    • DOI 10.1016/j.cnsns.2006.02.010, PII S1007570406000670
    • Kim J., A numerical method for the Cahn-Hilliard equation with a variable mobility. Communications in Nonlinear Science and Numerical Simulation 2007 12 8 1560 1571 10.1016/j.cnsns.2006.02.010 MR2332646 (Pubitemid 46838592)
    • (2007) Communications in Nonlinear Science and Numerical Simulation , vol.12 , Issue.8 , pp. 1560-1571
    • Kim, J.1
  • 33
    • 33747332288 scopus 로고    scopus 로고
    • Auxiliary equation method and new solutions of Klein-Gordon equations
    • DOI 10.1016/j.chaos.2005.10.048, PII S0960077905010131
    • Sirendaoreji, Auxiliary equation method and new solutions of Klein-Gordon equations. Chaos, Solitons and Fractals 2007 31 4 943 950 10.1016/j.chaos.2005. 10.048 MR2262187 (Pubitemid 44247666)
    • (2007) Chaos, Solitons and Fractals , vol.31 , Issue.4 , pp. 943-950
    • Sirendaoreji1
  • 34
    • 0001707390 scopus 로고    scopus 로고
    • Local fractional Fokker-Planck equation
    • Kolwankar K. M., Gangal A. D., Local fractional Fokker-Planck equation. Physical Review Letters 1998 80 2 214 217 10.1103/PhysRevLett.80.214 MR1604435 (Pubitemid 128621921)
    • (1998) Physical Review Letters , vol.80 , Issue.2 , pp. 214-217
    • Kolwankar, K.M.1    Gangal, A.D.2
  • 35
    • 0242507103 scopus 로고    scopus 로고
    • Periodic wave solutions to a coupled KdV equations with variable coefficients
    • 10.1016/S0375-9601(02)01775-9 MR1972296
    • Zhou Y., Wang M., Wang Y., Periodic wave solutions to a coupled KdV equations with variable coefficients. Physics Letters A 2003 308 1 31 36 10.1016/S0375-9601(02)01775-9 MR1972296
    • (2003) Physics Letters A , vol.308 , Issue.1 , pp. 31-36
    • Zhou, Y.1    Wang, M.2    Wang, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.