메뉴 건너뛰기




Volumn 17, Issue 2, 2014, Pages 348-360

A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations

Author keywords

fixed point theorems; fractional differential systems; Hadamard fractional derivative; integral boundary conditions

Indexed keywords


EID: 84896926172     PISSN: 13110454     EISSN: 13142444     Source Type: Journal    
DOI: 10.2478/s13540-014-0173-5     Document Type: Article
Times cited : (137)

References (23)
  • 1
    • 79960976705 scopus 로고    scopus 로고
    • Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
    • 10.1016/j.camwa.2011.03.001 1228.34009 2824708
    • R.P. Agarwal, B. Ahmad, Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions. Comput. Math. Appl. 62 (2011), 1200-1214.
    • (2011) Comput. Math. Appl. , vol.62 , pp. 1200-1214
    • Agarwal, R.P.1    Ahmad, B.2
  • 2
    • 84862666375 scopus 로고    scopus 로고
    • On the existence of solutions of fractional integro-differential equations
    • 1279.45008 2872111
    • A. Aghajani, Y. Jalilian, J.J. Trujillo, On the existence of solutions of fractional integro-differential equations. Fract. Calc. Appl. Anal. 15, No 1 (2012), 44-69; DOI: 10.2478/s13540-012-0005-4; http://link.springer.com/article/ 10.2478/s13540-012-0005-4.
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.1 , pp. 44-69
    • Aghajani, A.1    Jalilian, Y.2    Trujillo, J.J.3
  • 3
    • 70349131961 scopus 로고    scopus 로고
    • Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
    • 10.1016/j.camwa.2009.07.091 1205.34003 2557562
    • B. Ahmad, J.J. Nieto, Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Comput. Math. Appl. 58 (2009), 1838-1843.
    • (2009) Comput. Math. Appl. , vol.58 , pp. 1838-1843
    • Ahmad, B.1    Nieto, J.J.2
  • 4
    • 79960994576 scopus 로고    scopus 로고
    • Some boundary value problems of fractional differential equations and inclusions
    • 10.1016/j.camwa.2011.02.035 1228.34011 2824711
    • B. Ahmad, J.J. Nieto, J. Pimentel, Some boundary value problems of fractional differential equations and inclusions. Comput. Math. Appl. 62 (2011), 1238-1250.
    • (2011) Comput. Math. Appl. , vol.62 , pp. 1238-1250
    • Ahmad, B.1    Nieto, J.J.2    Pimentel, J.3
  • 5
    • 84866126350 scopus 로고    scopus 로고
    • Anti-periodic fractional boundary value problems with nonlinear term depending on lower order derivative
    • 1281.34005 2944110
    • B. Ahmad, J.J. Nieto, Anti-periodic fractional boundary value problems with nonlinear term depending on lower order derivative. Fract. Calc. Appl. Anal. 15, No 3 (2012), 451-462; DOI: 10.2478/s13540-012-0032-1; http://link.springer.com/article/10.2478/s13540-012-0032-1.
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.3 , pp. 451-462
    • Ahmad, B.1    Nieto, J.J.2
  • 6
    • 84869162803 scopus 로고    scopus 로고
    • Fractional differential inclusions with fractional separated boundary conditions
    • 1279.34003 2944105
    • B. Ahmad, S.K. Ntouyas, Fractional differential inclusions with fractional separated boundary conditions, Fract. Calc. Appl. Anal. 15, No 3 (2012), 362-382; DOI: 10.2478/s13540-012-0027-y; http://link.springer.com/ article/10.2478/s13540-012-0027-y.
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.3 , pp. 362-382
    • Ahmad, B.1    Ntouyas, S.K.2
  • 7
    • 79952219332 scopus 로고    scopus 로고
    • New existence results for nonlinear fractional differential equations with three-point integral boundary conditions
    • Art. ID 107384
    • B. Ahmad, S.K. Ntouyas, A. Alsaedi, New existence results for nonlinear fractional differential equations with three-point integral boundary conditions. Adv. Differ. Equ. 2011 (2011), Art. ID 107384, 11 pp.
    • (2011) Adv. Differ. Equ. 2011 , pp. 11
    • Ahmad, B.1    Ntouyas, S.K.2    Alsaedi, A.3
  • 8
    • 85121160035 scopus 로고    scopus 로고
    • B. Ahmad, S.K. Ntouyas, A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order. Electron. J. Qual. Theory Differ. Equ. 2011, No 22 (2011), 15 pp.
    • (2011) Electron. J. Qual. Theory Differ. Equ. , vol.2011 , Issue.22
  • 9
    • 78751562056 scopus 로고    scopus 로고
    • D. Baleanu, R.P. Agarwal, O.G. Mustafa, M. Cosulschi, Asymptotic integration of some nonlinear differential equations with fractional time derivative. J. Phys. A, Math. Theor. 44, No 5 (2011), Article ID 055203, 9 p.
    • (2011) J. Phys. A, Math. Theor. , vol.44 , Issue.5
  • 10
    • 84869152261 scopus 로고    scopus 로고
    • A note on the existence of solutions for some boundary value problems of fractional differential inclusions
    • 1281.34019 2897772
    • A. Cernea, A note on the existence of solutions for some boundary value problems of fractional differential inclusions. Fract. Calc. Appl. Anal. 15, No 2 (2012), 183-193; DOI: 10.2478/s13540-012-0013-4; http://link.springer.com/ article/10.2478/s13540-012-0013-4.
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.2 , pp. 183-193
    • Cernea, A.1
  • 11
    • 84856356825 scopus 로고    scopus 로고
    • Fractional boundary value problems: Analysis and numerical methods
    • 1273.65098 2846376
    • N.J. Ford, M.L. Morgado, Fractional boundary value problems: analysis and numerical methods. Fract. Calc. Appl. Anal. 14, No 4 (2011), 554-567; DOI: 10.2478/s13540-011-0034-4; http://link.springer.com/article/10.2478/s13540-011- 0034-4.
    • (2011) Fract. Calc. Appl. Anal. , vol.14 , Issue.4 , pp. 554-567
    • Ford, N.J.1    Morgado, M.L.2
  • 12
    • 84869177904 scopus 로고    scopus 로고
    • Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions
    • 1279.34007 2944114
    • J.R. Graef, L. Kong, Q. Kong, W. Qingkai, M. Wang, Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions. Fract. Calc. Appl. Anal. 15, No 3 (2012), 509-528; DOI: 10.2478/s13540-012-0036-x; http://link.springer.com/article/10.2478/s13540-012- 0036-x.
    • (2012) Fract. Calc. Appl. Anal. , vol.15 , Issue.3 , pp. 509-528
    • Graef, J.R.1    Kong, L.2    Kong, Q.3    Qingkai, W.4    Wang, M.5
  • 14
    • 84888125462 scopus 로고    scopus 로고
    • Positive solutions for a system of nonlocal fractional boundary value problems
    • 3124348
    • J. Henderson, R. Luca, Positive solutions for a system of nonlocal fractional boundary value problems. Fract. Calc. Appl. Anal. 16, No 4 (2013), 985-1008; DOI: 10.2478/s13540-013-0061-4; http://link.springer.com/article/10. 2478/s13540-013-0061-4.
    • (2013) Fract. Calc. Appl. Anal. , vol.16 , Issue.4 , pp. 985-1008
    • Henderson, J.1    Luca, R.2
  • 17
    • 84871761124 scopus 로고    scopus 로고
    • Solvability for a couple system of nonlinear fractional differential equations in a Banach space
    • 3016641
    • J. Liang, Z. Liu, X. Wang, Solvability for a couple system of nonlinear fractional differential equations in a Banach space. Fract. Calc. Appl. Anal. 16, No 1 (2013), 51-63; DOI: 10.2478/s13540-013-0004-0; http://link.springer. com/article/10.2478/s13540-013-0004-0.
    • (2013) Fract. Calc. Appl. Anal. , vol.16 , Issue.1 , pp. 51-63
    • Liang, J.1    Liu, Z.2    Wang, X.3
  • 18
    • 84873332796 scopus 로고    scopus 로고
    • A coupled system of fractional differential equations with nonlocal integral boundary conditions
    • 10.1186/1687-1847-2012-130 3016051
    • S.K. Ntouyas and M. Obaid, A coupled system of fractional differential equations with nonlocal integral boundary conditions. Adv. Differ. Equ. 2012 (2012), #130.
    • (2012) Adv. Differ. Equ. , vol.2012 , pp. 130
    • Ntouyas, S.K.1    Obaid, M.2
  • 21
    • 55649098198 scopus 로고    scopus 로고
    • Boundary value problem for a coupled system of nonlinear fractional differential equations
    • 10.1016/j.aml.2008.03.001 1163.34321 2483163
    • X. Su, Boundary value problem for a coupled system of nonlinear fractional differential equations. Appl. Math. Lett. 22 (2009), 64-69.
    • (2009) Appl. Math. Lett. , vol.22 , pp. 64-69
    • Su, X.1
  • 22
    • 84865626120 scopus 로고    scopus 로고
    • Existence of solutions for fractional differential systems with anti-periodic boundary conditions
    • 10.1016/j.camwa.2011.12.083 1268.34157 2960782
    • J. Sun, Y. Liu, G. Liu, Existence of solutions for fractional differential systems with anti-periodic boundary conditions. Comput. Math. Appl. 64 (2012), 1557-1566.
    • (2012) Comput. Math. Appl. , vol.64 , pp. 1557-1566
    • Sun, J.1    Liu, Y.2    Liu, G.3
  • 23
    • 84876877393 scopus 로고    scopus 로고
    • Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations
    • Article ID 186928
    • J. Wang, H. Xiang, Z. Liu, Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations. Int. J. Differ. Equ. 2010 (2010), Article ID 186928, 12 p.
    • (2010) J. Differ. Equ , pp. 12
    • Wang, J.1    Xiang, H.2    Liu, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.