메뉴 건너뛰기




Volumn 52, Issue 7, 2011, Pages

Eigenvalue problems of the model from nonlocal continuum mechanics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79960918131     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3610673     Document Type: Article
Times cited : (34)

References (24)
  • 1
    • 34547619943 scopus 로고    scopus 로고
    • On a class of differential equations with left and right fractional derivatives
    • 10.1002/zamm.200710335
    • Atanackovic T.M. Stankovic B. On a class of differential equations with left and right fractional derivatives. Z. Angew. Math. Mech. 2007, 87:537-546. 10.1002/zamm.200710335, and .
    • (2007) Z. Angew. Math. Mech. , vol.87 , pp. 537-546
    • Atanackovic, T.M.1    Stankovic, B.2
  • 2
    • 67649490351 scopus 로고    scopus 로고
    • On a differential equation with left and right fractional derivatives
    • Atanackovic T.M. Stankovic B. On a differential equation with left and right fractional derivatives. Fractional Calculus & Appl. Anal. 2007, 10:138-150. and .
    • (2007) Fractional Calculus & Appl. Anal. , vol.10 , pp. 138-150
    • Atanackovic, T.M.1    Stankovic, B.2
  • 3
    • 70349213975 scopus 로고    scopus 로고
    • Generalized wave equation in nonlocal elasticity
    • 10.1007/s00707-008-0120-9
    • Atanackovic T.M. Stankovic B. Generalized wave equation in nonlocal elasticity. Acta Mech. 2009, 208:1-10. 10.1007/s00707-008-0120-9, and .
    • (2009) Acta Mech. , vol.208 , pp. 1-10
    • Atanackovic, T.M.1    Stankovic, B.2
  • 5
    • 79953720008 scopus 로고    scopus 로고
    • A fractional calculus approach to nonlocal elasticity
    • 10.1140/epjst/e2011-01391-5
    • Carpinteri A. Cornetti P. Sapora A. A fractional calculus approach to nonlocal elasticity. Eur. Phys. J. Spec. Top. 2011, 193:193-204. 10.1140/epjst/e2011-01391-5, and .
    • (2011) Eur. Phys. J. Spec. Top. , vol.193 , pp. 193-204
    • Carpinteri, A.1    Cornetti, P.2    Sapora, A.3
  • 8
    • 51249121333 scopus 로고    scopus 로고
    • Long-range cohesive interactions of non-local continuum mechanics faced by fractional calculus
    • 10.1016/j.ijsolstr.2008.06.004
    • Di Paola M. Zingales M. Long-range cohesive interactions of non-local continuum mechanics faced by fractional calculus. Int. J. Solids Struct. 2008, 45:5642-5659. 10.1016/j.ijsolstr.2008.06.004, and .
    • (2008) Int. J. Solids Struct. , vol.45 , pp. 5642-5659
    • Di Paola, M.1    Zingales, M.2
  • 9
    • 34250842720 scopus 로고
    • On the spectrum of fractional brownian motions
    • 10.1109/18.42195
    • Flandrin P. On the spectrum of fractional brownian motions. IEEE Trans. Inf. Theory 1989, 35:197-199. 10.1109/18.42195.
    • (1989) IEEE Trans. Inf. Theory , vol.35 , pp. 197-199
    • Flandrin, P.1
  • 10
    • 34250648556 scopus 로고    scopus 로고
    • A formulation of Noether's theorem for fractional problems of the calculus variations
    • 10.1016/j.jmaa.2007.01.013
    • Frederico G.S. Torres D.F. M. A formulation of Noether's theorem for fractional problems of the calculus variations. J. Math. Anal. Appl. 2007, 334:834-846. 10.1016/j.jmaa.2007.01.013, and .
    • (2007) J. Math. Anal. Appl. , vol.334 , pp. 834-846
    • Frederico, G.S.1    Torres, D.F.M.2
  • 11
    • 33749505911 scopus 로고
    • Fractional dimensionality and fractional derivatives sepctral of interband optial transitions
    • 10.1103/PhysRevB.42.11751
    • He X.F. Fractional dimensionality and fractional derivatives sepctral of interband optial transitions. Phys. Rev. B 1990, 42:11751-11756. 10.1103/PhysRevB.42.11751.
    • (1990) Phys. Rev. B , vol.42 , pp. 11751-11756
    • He, X.F.1
  • 15
    • 41349084761 scopus 로고    scopus 로고
    • Fractional Schrödinger equation
    • 10.1103/PhysRevE.66.056108
    • Laskin N. Fractional Schrödinger equation. Phys. Rev. E 2002, 66:056108. 10.1103/PhysRevE.66.056108.
    • (2002) Phys. Rev. E , vol.66 , pp. 056108
    • Laskin, N.1
  • 16
    • 33745839870 scopus 로고    scopus 로고
    • Non-local continumm mechanics and fractional caculus
    • 10.1016/j.mechrescom.2006.05.001
    • Lazopoulos K.A. Non-local continumm mechanics and fractional caculus. Mech. Res. Commun. 2006, 33:751-757. 10.1016/j.mechrescom.2006.05.001.
    • (2006) Mech. Res. Commun. , vol.33 , pp. 751-757
    • Lazopoulos, K.A.1
  • 17
    • 14844283120 scopus 로고    scopus 로고
    • Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
    • 10.1016/j.jmaa.2004.09.043
    • Muslih S.I. Baleanu D. Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives. J. Math. Anal. Appl. 2005, 304:599-606. 10.1016/j.jmaa.2004.09.043, and .
    • (2005) J. Math. Anal. Appl. , vol.304 , pp. 599-606
    • Muslih, S.I.1    Baleanu, D.2
  • 19
    • 33644972220 scopus 로고    scopus 로고
    • A nonhomogeneous nonlocal elasticity theory
    • 10.1016/j.euromechsol.2005.09.007
    • Polizzotto C. Fuschi P. Pisano A.A. A nonhomogeneous nonlocal elasticity theory. Eur. J. Mech. A/Solids 2006, 25:308-333. 10.1016/j.euromechsol.2005.09.007, and .
    • (2006) Eur. J. Mech. A/Solids , vol.25 , pp. 308-333
    • Polizzotto, C.1    Fuschi, P.2    Pisano, A.A.3
  • 20
    • 0035860410 scopus 로고    scopus 로고
    • Non local elasticity and related variational principles
    • 10.1016/S0020-7683(01)00039-7
    • Polizzotto C. Non local elasticity and related variational principles. Int. J. Solids Struct. 2001, 38:7359-7380. 10.1016/S0020-7683(01)00039-7.
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 7359-7380
    • Polizzotto, C.1
  • 22
    • 53949099987 scopus 로고    scopus 로고
    • An equation with left and right fractional derivatives
    • Stanković B. An equation with left and right fractional derivatives. Public. Inst. Math. Nouv. serie 2006, 80(94):259-272. .
    • (2006) Public. Inst. Math. Nouv. serie , vol.80 , Issue.94 , pp. 259-272
    • Stanković, B.1
  • 23
    • 77953793937 scopus 로고    scopus 로고
    • An equation in left and right fractional derivatives of the same order
    • Stanković B. An equation in left and right fractional derivatives of the same order. Bull. Acad. Aerbe. Sci. Arta. CI. Math. Nat. 2008, 33:83-90. .
    • (2008) Bull. Acad. Aerbe. Sci. Arta. CI. Math. Nat. , vol.33 , pp. 83-90
    • Stanković, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.