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Volumn 215, Issue 11, 2010, Pages 3824-3829

Set-valued system of fractional differential equations with hysteresis

Author keywords

Fractional calculus; Hysteresis; Set valued problem

Indexed keywords

EXISTENCE THEOREM; FRACTIONAL CALCULUS; FRACTIONAL DIFFERENTIAL EQUATIONS; GLOBAL SOLVABILITY;

EID: 73449112235     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.11.023     Document Type: Article
Times cited : (3)

References (16)
  • 1
    • 34247154280 scopus 로고    scopus 로고
    • Global existence theory and chaos control of fractional differential equations
    • Lin W. Global existence theory and chaos control of fractional differential equations. J. Math. Anal. Appl. 332 (2007) 709-726
    • (2007) J. Math. Anal. Appl. , vol.332 , pp. 709-726
    • Lin, W.1
  • 2
    • 34249295169 scopus 로고    scopus 로고
    • On the existence of solutions of a class of fractional differential equations
    • Ibrahim R.W., and Momani S. On the existence of solutions of a class of fractional differential equations. J. Math. Anal. Appl. 334 (2007) 1-10
    • (2007) J. Math. Anal. Appl. , vol.334 , pp. 1-10
    • Ibrahim, R.W.1    Momani, S.2
  • 3
    • 23844442815 scopus 로고    scopus 로고
    • Existence of fractional differential equations
    • Yu C., and Gao G. Existence of fractional differential equations. J. Math. Anal. Appl. 310 (2005) 26-29
    • (2005) J. Math. Anal. Appl. , vol.310 , pp. 26-29
    • Yu, C.1    Gao, G.2
  • 4
    • 33646481618 scopus 로고    scopus 로고
    • Existence of fractional integral equation with hysteresis
    • Darwish M.A., and El-Bary A.A. Existence of fractional integral equation with hysteresis. Appl. Math. Comput. 176 (2006) 684-687
    • (2006) Appl. Math. Comput. , vol.176 , pp. 684-687
    • Darwish, M.A.1    El-Bary, A.A.2
  • 5
    • 27244436920 scopus 로고    scopus 로고
    • Interpretation of a fractional equation with nonconserved probability density in terms of experimental systems with trapping or recombination
    • Bisquert J. Interpretation of a fractional equation with nonconserved probability density in terms of experimental systems with trapping or recombination. Phys. Rev. E 72 (2005)
    • (2005) Phys. Rev. E , vol.72
    • Bisquert, J.1
  • 6
    • 17844372193 scopus 로고    scopus 로고
    • Recents applications of fractional calculus to scinence and engineering
    • Debanth L. Recents applications of fractional calculus to scinence and engineering. Int. J. Math. Appl. Sci. 54 (2003) 3413-3442
    • (2003) Int. J. Math. Appl. Sci. , vol.54 , pp. 3413-3442
    • Debanth, L.1
  • 7
    • 0030867045 scopus 로고    scopus 로고
    • Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids
    • Rossikhin Yu., and Shitikova M.V. Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids. Appl. Mech. Rev. 50 (1997) 15-67
    • (1997) Appl. Mech. Rev. , vol.50 , pp. 15-67
    • Rossikhin, Yu.1    Shitikova, M.V.2
  • 9
    • 3943069042 scopus 로고    scopus 로고
    • On nonlinear Fredholm-Volterra integral equations with hysteresis
    • Darwish M.A. On nonlinear Fredholm-Volterra integral equations with hysteresis. Appl. Math. Comput. 156 (2004) 479-484
    • (2004) Appl. Math. Comput. , vol.156 , pp. 479-484
    • Darwish, M.A.1
  • 10
    • 33646379102 scopus 로고    scopus 로고
    • Solvability of Urysohn and Urysohn-Volterra equations with hysteresis in weighted spaces
    • Darwish M.A. Solvability of Urysohn and Urysohn-Volterra equations with hysteresis in weighted spaces. Appl. Math. Comput. 176 (2006) 722-726
    • (2006) Appl. Math. Comput. , vol.176 , pp. 722-726
    • Darwish, M.A.1
  • 11
    • 0035252785 scopus 로고    scopus 로고
    • Set-valued integral equations of fractional-orders
    • El-Sayed A.M.A., and Ibrahim A.G. Set-valued integral equations of fractional-orders. Appl. Math. Comput. 118 (2001) 113-121
    • (2001) Appl. Math. Comput. , vol.118 , pp. 113-121
    • El-Sayed, A.M.A.1    Ibrahim, A.G.2
  • 12
    • 20444364014 scopus 로고    scopus 로고
    • Existence theorem for nonlinear functional integral equations of fractional orders
    • Cichoń M., El-Sayed A.M., and Salem H.A.H. Existence theorem for nonlinear functional integral equations of fractional orders. Comment. Math. Prace Mat. 41 (2001) 59-67
    • (2001) Comment. Math. Prace Mat. , vol.41 , pp. 59-67
    • Cichoń, M.1    El-Sayed, A.M.2    Salem, H.A.H.3
  • 13
    • 40349104556 scopus 로고    scopus 로고
    • System of nonlinear fractional differential equations in the space of summable functions
    • Bonilla B., Kilbas A.A., and Trujillo J.J. System of nonlinear fractional differential equations in the space of summable functions. Tr. Inst. Mat. Minsk. 6 (2000) 38-46
    • (2000) Tr. Inst. Mat. Minsk. , vol.6 , pp. 38-46
    • Bonilla, B.1    Kilbas, A.A.2    Trujillo, J.J.3
  • 14
    • 1242327688 scopus 로고    scopus 로고
    • Differential equations of fractional order: methods results and problems, I
    • Kilbas A.A., and Trujillo J.J. Differential equations of fractional order: methods results and problems, I. Appl. Anal. 78 (2001) 153-192
    • (2001) Appl. Anal. , vol.78 , pp. 153-192
    • Kilbas, A.A.1    Trujillo, J.J.2
  • 15
    • 20444421082 scopus 로고    scopus 로고
    • An abstract Gronwall lemma and application to global existence results for functional differential and integral equations of fractional order
    • Salem H.A.H., and Väth M. An abstract Gronwall lemma and application to global existence results for functional differential and integral equations of fractional order. J. Integral Equat. Appl. 16 (2004) 411-429
    • (2004) J. Integral Equat. Appl. , vol.16 , pp. 411-429
    • Salem, H.A.H.1    Väth, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.