메뉴 건너뛰기




Volumn 2009, Issue , 2009, Pages

Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 64249112537     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1155/2009/708576     Document Type: Article
Times cited : (245)

References (38)
  • 1
    • 64249087228 scopus 로고    scopus 로고
    • "Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions"
    • preprint
    • B. Ahmad and J. J. Nieto, "Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions," preprint.
    • Ahmad, B.1    Nieto, J.J.2
  • 2
    • 64249172146 scopus 로고    scopus 로고
    • "Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions"
    • to appear in Dynamic Systems and Applications
    • B. Ahmad and S. Sivasundaram, "Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions," to appear in Dynamic Systems and Applications.
    • Ahmad, B.1    Sivasundaram, S.2
  • 3
    • 53949107192 scopus 로고    scopus 로고
    • "Almost automorphic mild solutions to fractional differential equations"
    • D. Araya and C. Lizama, "Almost automorphic mild solutions to fractional differential equations," Nonlinear Analysis: Theory, Methods & Applications, vol. 69, no. 11, pp. 3692-3705, 2008.
    • (2008) Nonlinear Analysis: Theory, Methods & Applications , vol.69 , Issue.11 , pp. 3692-3705
    • Araya, D.1    Lizama, C.2
  • 4
    • 25144460994 scopus 로고    scopus 로고
    • "Positive solutions for boundary value problem of nonlinear fractional differential equation"
    • Z. Bai and H. Lü, "Positive solutions for boundary value problem of nonlinear fractional differential equation," Journal of Mathematical Analysis and Applications, vol. 311, no. 2, pp. 495-505, 2005.
    • (2005) Journal of Mathematical Analysis and Applications , vol.311 , Issue.2 , pp. 495-505
    • Bai, Z.1    Lü, H.2
  • 5
    • 84868686929 scopus 로고    scopus 로고
    • "Existence of periodic solution for a nonlinear fractional differential equation"
    • preprint
    • M. Belmekki, J. J. Nieto, and R. Rodríguez-López, "Existence of periodic solution for a nonlinear fractional differential equation," preprint.
    • Belmekki, M.1    Nieto, J.J.2    Rodríguez-López, R.3
  • 6
    • 64249135210 scopus 로고    scopus 로고
    • "Existence results for differential inclusions with fractional order and impulses"
    • preprint
    • M. Benchohra, S. Hamani, J. J. Nieto, and B. A. Slimani, "Existence results for differential inclusions with fractional order and impulses," preprint.
    • Benchohra, M.1    Hamani, S.2    Nieto, J.J.3    Slimani, B.A.4
  • 7
    • 34247323827 scopus 로고    scopus 로고
    • "Fractional differential equations as alternative models to nonlinear differential equations"
    • B. Bonilla, M. Rivero, L. Rodríguez-Germá, and J. J. Trujillo, "Fractional differential equations as alternative models to nonlinear differential equations," AppliedMathematics and Computation, vol. 187, no. 1, pp. 79-88, 2007.
    • (2007) AppliedMathematics and Computation , vol.187 , Issue.1 , pp. 79-88
    • Bonilla, B.1    Rivero, M.2    Rodríguez-Germá, L.3    Trujillo, J.J.4
  • 8
    • 58049138945 scopus 로고    scopus 로고
    • "Some new existence results for fractional differential inclusions with boundary conditions"
    • Y.-K. Chang and J. J. Nieto, "Some new existence results for fractional differential inclusions with boundary conditions," Mathematical and Computer Modelling, vol. 49, no. 3-4, pp. 605-609, 2009.
    • (2009) Mathematical and Computer Modelling , vol.49 , Issue.3-4 , pp. 605-609
    • Chang, Y.-K.1    Nieto, J.J.2
  • 10
    • 10844262723 scopus 로고    scopus 로고
    • "Positive solutions of a system of non-autonomous fractional differential equations"
    • V. Daftardar-Gejji, "Positive solutions of a system of non-autonomous fractional differential equations," Journal of Mathematical Analysis and Applications, vol. 302, no. 1, pp. 56-64, 2005.
    • (2005) Journal of Mathematical Analysis and Applications , vol.302 , Issue.1 , pp. 56-64
    • Daftardar-Gejji, V.1
  • 11
    • 44649117334 scopus 로고    scopus 로고
    • "Boundary value problems for multi-term fractional differential equations"
    • V. Daftardar-Gejji and S. Bhalekar, "Boundary value problems for multi-term fractional differential equations," Journal of Mathematical Analysis and Applications, vol. 345, no. 2, pp. 754-765, 2008.
    • (2008) Journal of Mathematical Analysis and Applications , vol.345 , Issue.2 , pp. 754-765
    • Daftardar-Gejji, V.1    Bhalekar, S.2
  • 12
    • 36248933572 scopus 로고    scopus 로고
    • "Positive solutions for boundary value problem of nonlinear fractional differential equation"
    • Article ID 10368
    • M. El-Shahed, "Positive solutions for boundary value problem of nonlinear fractional differential equation," Abstract and Applied Analysis, vol. 2007, Article ID 10368, 8 pages, 2007.
    • (2007) Abstract and Applied Analysis , vol.2007 , pp. 8
    • El-Shahed, M.1
  • 13
    • 44649165019 scopus 로고    scopus 로고
    • "Subordination and superordination for univalent solutions for fractional differential equations"
    • R. W. Ibrahim and M. Darus, "Subordination and superordination for univalent solutions for fractional differential equations," Journal of Mathematical Analysis and Applications, vol. 345, no. 2, pp. 871-879, 2008.
    • (2008) Journal of Mathematical Analysis and Applications , vol.345 , Issue.2 , pp. 871-879
    • Ibrahim, R.W.1    Darus, M.2
  • 14
    • 56049100715 scopus 로고    scopus 로고
    • "Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation"
    • H. Jafari and S. Seifi, "Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation," Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 5, pp. 2006-2012, 2009.
    • (2009) Communications in Nonlinear Science and Numerical Simulation , vol.14 , Issue.5 , pp. 2006-2012
    • Jafari, H.1    Seifi, S.2
  • 17
    • 27744589296 scopus 로고    scopus 로고
    • "Finite time stability analysis of PDα fractional control of robotic time-delay systems"
    • M. P. Lazarević, "Finite time stability analysis of PDα fractional control of robotic time-delay systems," Mechanics Research Communications, vol. 33, no. 2, pp. 269-279, 2006.
    • (2006) Mechanics Research Communications , vol.33 , Issue.2 , pp. 269-279
    • Lazarević, M.P.1
  • 19
    • 38049021511 scopus 로고    scopus 로고
    • "On the solution of the fractional nonlinear Schrödinger equation"
    • S. Z. Rida, H. M. El-Sherbiny, and A. A. M. Arafa, "On the solution of the fractional nonlinear Schrödinger equation," Physics Letters A, vol. 372, no. 5, pp. 553-558, 2008.
    • (2008) Physics Letters A , vol.372 , Issue.5 , pp. 553-558
    • Rida, S.Z.1    El-Sherbiny, H.M.2    Arafa, A.A.M.3
  • 21
    • 50249124477 scopus 로고    scopus 로고
    • "Differential and integral relations involving fractional derivatives of Airy functions and applications"
    • V. Varlamov, "Differential and integral relations involving fractional derivatives of Airy functions and applications," Journal of Mathematical Analysis and Applications, vol. 348, no. 1, pp. 101-115, 2008.
    • (2008) Journal of Mathematical Analysis and Applications , vol.348 , Issue.1 , pp. 101-115
    • Varlamov, V.1
  • 22
    • 33645152919 scopus 로고    scopus 로고
    • "Positive solutions for boundary-value problems of nonlinear fractional differential equations"
    • S. Zhang, "Positive solutions for boundary-value problems of nonlinear fractional differential equations," Electronic Journal of Differential Equations, vol. 2006, no. 36, pp. 1-12, 2006.
    • (2006) Electronic Journal of Differential Equations , vol.2006 , Issue.36 , pp. 1-12
    • Zhang, S.1
  • 23
    • 64249092279 scopus 로고    scopus 로고
    • "Some existence results for fractional integrodifferential equations with nonlinear conditions"
    • B. Ahmad and S. Sivasundaram, "Some existence results for fractional integrodifferential equations with nonlinear conditions," Communications in Applied Analysis, vol. 12, pp. 107-112, 2008.
    • (2008) Communications in Applied Analysis , vol.12 , pp. 107-112
    • Ahmad, B.1    Sivasundaram, S.2
  • 24
    • 49649115744 scopus 로고    scopus 로고
    • "Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions"
    • B. Ahmad and B. S. Alghamdi, "Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions," Computer Physics Communications, vol. 179, no. 6, pp. 409-416, 2008.
    • (2008) Computer Physics Communications , vol.179 , Issue.6 , pp. 409-416
    • Ahmad, B.1    Alghamdi, B.S.2
  • 25
    • 50849112715 scopus 로고    scopus 로고
    • "On the existence of T-periodic solutions for Duffing type integro-differential equations with p-Laplacian"
    • B. Ahmad, "On the existence of T-periodic solutions for Duffing type integro-differential equations with p-Laplacian," Lobachevskii Journal of Mathematics, vol. 29, no. 1, pp. 1-4, 2008.
    • (2008) Lobachevskii Journal of Mathematics , vol.29 , Issue.1 , pp. 1-4
    • Ahmad, B.1
  • 26
    • 64249122070 scopus 로고    scopus 로고
    • "Existence of solutions for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators"
    • to appear in Numerical Functional Analysis and Optimization
    • Y. K. Chang and J. J. Nieto, "Existence of solutions for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators," to appear in Numerical Functional Analysis and Optimization.
    • Chang, Y.K.1    Nieto, J.J.2
  • 27
    • 59049102714 scopus 로고    scopus 로고
    • "New results for the periodic boundary value problem for impulsive integrodifferential equations"
    • Z. Luo and J. J. Nieto, "New results for the periodic boundary value problem for impulsive integrodifferential equations," Nonlinear Analysis: Theory, Methods & Applications, vol. 70, no. 6, pp. 2248-2260, 2009.
    • (2009) Nonlinear Analysis: Theory, Methods & Applications , vol.70 , Issue.6 , pp. 2248-2260
    • Luo, Z.1    Nieto, J.J.2
  • 28
    • 43049124810 scopus 로고    scopus 로고
    • "On a mixed nonlinear one point boundary value problem for an integrodifferential equation"
    • Article ID 814947
    • S. Mesloub, "On a mixed nonlinear one point boundary value problem for an integrodifferential equation," Boundary Value Problems, vol. 2008, Article ID 814947, 8 pages, 2008.
    • (2008) Boundary Value Problems , vol.2008 , pp. 8
    • Mesloub, S.1
  • 29
    • 33845894182 scopus 로고    scopus 로고
    • "New comparison results for impulsive integro-differential equations and applications"
    • J. J. Nieto and R. Rodríguez-López, "New comparison results for impulsive integro-differential equations and applications," Journal of Mathematical Analysis and Applications, vol. 328, no. 2, pp. 1343-1368, 2007.
    • (2007) Journal of Mathematical Analysis and Applications , vol.328 , Issue.2 , pp. 1343-1368
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 30
    • 43649094597 scopus 로고    scopus 로고
    • "Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions"
    • B. Ahmad, A. Alsaedi, and B. S. Alghamdi, "Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions," Nonlinear Analysis: Real World Applications, vol. 9, no. 4, pp. 1727-1740, 2008.
    • (2008) Nonlinear Analysis: Real World Applications , vol.9 , Issue.4 , pp. 1727-1740
    • Ahmad, B.1    Alsaedi, A.2    Alghamdi, B.S.3
  • 31
    • 50349098961 scopus 로고    scopus 로고
    • "Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions"
    • B. Ahmad and A. Alsaedi, "Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions," Nonlinear Analysis: Real World Applications, vol. 10, no. 1, pp. 358-367, 2009.
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , Issue.1 , pp. 358-367
    • Ahmad, B.1    Alsaedi, A.2
  • 32
    • 77952639433 scopus 로고    scopus 로고
    • "The method of upper and lower solutions for second order differential inclusions with integral boundary conditions"
    • In press
    • M. Benchohra, S. Hamani, and J. J. Nieto, "The method of upper and lower solutions for second order differential inclusions with integral boundary conditions," Rocky Mountain Journal of Mathematics. In press.
    • Rocky Mountain Journal of Mathematics
    • Benchohra, M.1    Hamani, S.2    Nieto, J.J.3
  • 33
    • 55549118921 scopus 로고    scopus 로고
    • "Second-order boundary value problems with integral boundary conditions"
    • A. Boucherif, "Second-order boundary value problems with integral boundary conditions," Nonlinear Analysis: Theory, Methods & Applications, vol. 70, no. 1, pp. 364-371, 2009.
    • (2009) Nonlinear Analysis: Theory, Methods & Applications , vol.70 , Issue.1 , pp. 364-371
    • Boucherif, A.1
  • 34
    • 60349098158 scopus 로고    scopus 로고
    • "On impulsive hyperbolic differential inclusions with nonlocal initial conditions"
    • Y.-K. Chang, J. J. Nieto, and W.-S. Li, "On impulsive hyperbolic differential inclusions with nonlocal initial conditions," Journal of Optimization Theory and Applications, vol. 140, no. 3, pp. 431-442, 2009.
    • (2009) Journal of Optimization Theory and Applications , vol.140 , Issue.3 , pp. 431-442
    • Chang, Y.-K.1    Nieto, J.J.2    Li, W.-S.3
  • 35
    • 85139378697 scopus 로고    scopus 로고
    • "Controllability of semilinear differential systems with nonlocal initial conditions in Banach spaces"
    • to appear in
    • Y. K. Chang, J. J. Nieto, and W. S. Li, "Controllability of semilinear differential systems with nonlocal initial conditions in Banach spaces," to appear in Journal of Optimization Theory and Applications.
    • Journal of Optimization Theory and Applications
    • Chang, Y.K.1    Nieto, J.J.2    Li, W.S.3
  • 36
    • 61349098900 scopus 로고    scopus 로고
    • "Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian"
    • In press
    • M. Feng, B. Du, and W. Ge, "Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian," Nonlinear Analysis: Theory, Methods & Applications. In press.
    • Nonlinear Analysis: Theory, Methods & Applications
    • Feng, M.1    Du, B.2    Ge, W.3
  • 37
    • 34848835492 scopus 로고    scopus 로고
    • "Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions"
    • Z. Yang, "Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions," Nonlinear Analysis: Theory, Methods & Applications, vol. 68, no. 1, pp. 216-225, 2008.
    • (2008) Nonlinear Analysis: Theory, Methods & Applications , vol.68 , Issue.1 , pp. 216-225
    • Yang, Z.1
  • 38
    • 0001188942 scopus 로고
    • "Two remarks on the method of successive approximations"
    • (63)
    • M. A. Krasnosel'skiǐ, "Two remarks on the method of successive approximations," Uspekhi Matematicheskikh Nauk, vol. 10, no. 1(63), pp. 123-127, 1955.
    • (1955) Uspekhi Matematicheskikh Nauk , vol.10 , Issue.1 , pp. 123-127
    • Krasnosel'skiǐ, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.