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Volumn 34, Issue 1-2, 2010, Pages 385-391

Existence of solutions for fractional differential equations of order q ∈ (2,3] with anti-periodic boundary conditions

Author keywords

Anti periodic boundary conditions; Contraction principle; Existence; Fractional differential equations; Krasnoselskii's fixed point theorem

Indexed keywords

ANTI-PERIODIC; CONTRACTION PRINCIPLE; EXISTENCE; FRACTIONAL DIFFERENTIAL EQUATIONS; KRASNOSELSKII'S FIXED-POINT THEOREM;

EID: 77956612516     PISSN: 15985865     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12190-009-0328-4     Document Type: Article
Times cited : (65)

References (22)
  • 1
    • 64249112537 scopus 로고    scopus 로고
    • Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
    • 10.1155/2009/708576 2525567 Art. ID 708576, pages 11.
    • B. Ahmad J.J. Nieto 2009 Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions Bound. Value Probl. 10.1155/2009/708576 2525567 Art. ID 708576, pages 11.
    • (2009) Bound. Value Probl.
    • Ahmad, B.1    Nieto, J.J.2
  • 2
    • 77956615412 scopus 로고    scopus 로고
    • Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory
    • to appear
    • Ahmad, B., Nieto, J.J.: Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory. Topol. Methods Nonlinear Anal. (2009, to appear)
    • (2009) Topol. Methods Nonlinear Anal.
    • Ahmad, B.1    Nieto, J.J.2
  • 3
    • 68349123813 scopus 로고    scopus 로고
    • Existence of solutions for fractional differential inclusions with anti-periodic boundary conditions
    • 10.1155/2009/625347 2525570 Art. ID 625347, pages 11.
    • B. Ahmad V. Otero-Espinar 2009 Existence of solutions for fractional differential inclusions with anti-periodic boundary conditions Bound. Value Probl. 10.1155/2009/625347 2525570 Art. ID 625347, pages 11.
    • (2009) Bound. Value Probl.
    • Ahmad, B.1    Otero-Espinar, V.2
  • 4
    • 51349095119 scopus 로고    scopus 로고
    • Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions
    • 1158.34049 10.1016/j.na.2007.09.018 2450538
    • B. Ahmad J.J. Nieto 2008 Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions Nonlinear Anal. 69 3291 3298 1158.34049 10.1016/j.na.2007.09.018 2450538
    • (2008) Nonlinear Anal. , vol.69 , pp. 3291-3298
    • Ahmad, B.1    Nieto, J.J.2
  • 5
    • 67649497546 scopus 로고    scopus 로고
    • Existence of solutions for second order nonlinear impulsive boundary value problems
    • B. Ahmad 2009 Existence of solutions for second order nonlinear impulsive boundary value problems Electron. J. Differ. Equ. 68 1 7
    • (2009) Electron. J. Differ. Equ. , vol.68 , pp. 1-7
    • Ahmad, B.1
  • 6
    • 58049138945 scopus 로고    scopus 로고
    • Some new existence results for fractional differential inclusions with boundary conditions
    • 1165.34313 10.1016/j.mcm.2008.03.014 2483665
    • Y.-K. Chang J.J. Nieto 2009 Some new existence results for fractional differential inclusions with boundary conditions Math. Comput. Model. 49 605 609 1165.34313 10.1016/j.mcm.2008.03.014 2483665
    • (2009) Math. Comput. Model. , vol.49 , pp. 605-609
    • Chang, Y.-K.1    Nieto, J.J.2
  • 7
    • 34548445497 scopus 로고    scopus 로고
    • Anti-periodic solutions for fully nonlinear first-order differential equations
    • DOI 10.1016/j.mcm.2006.12.006, PII S0895717707000106
    • Y. Chen J.J. Nieto D. O'Regan 2007 Antiperiodic solutions for fully nonlinear first-order differential equations Math. Comput. Model. 46 1183 1190 1142.34313 10.1016/j.mcm.2006.12.006 2376702 (Pubitemid 47362608)
    • (2007) Mathematical and Computer Modelling , vol.46 , Issue.9-10 , pp. 1183-1190
    • Chen, Y.1    Nieto, J.J.2    O'Regan, D.3
  • 8
    • 44649117334 scopus 로고    scopus 로고
    • Boundary value problems for multi-term fractional differential equations
    • 1151.26004 10.1016/j.jmaa.2008.04.065 2429175
    • V. Daftardar-Gejji S. Bhalekar 2008 Boundary value problems for multi-term fractional differential equations J. Math. Anal. Appl. 345 754 765 1151.26004 10.1016/j.jmaa.2008.04.065 2429175
    • (2008) J. Math. Anal. Appl. , vol.345 , pp. 754-765
    • Daftardar-Gejji, V.1    Bhalekar, S.2
  • 9
    • 47849129193 scopus 로고    scopus 로고
    • Mathematical modeling of time fractional reaction-diffusion systems
    • 1152.45008 10.1016/j.cam.2007.08.011 2444166
    • V. Gafiychuk B. Datsko V. Meleshko 2008 Mathematical modeling of time fractional reaction-diffusion systems J. Comput. Appl. Math. 220 215 225 1152.45008 10.1016/j.cam.2007.08.011 2444166
    • (2008) J. Comput. Appl. Math. , vol.220 , pp. 215-225
    • Gafiychuk, V.1    Datsko, B.2    Meleshko, V.3
  • 12
    • 53949111458 scopus 로고    scopus 로고
    • Basic theory of fractional differential equations
    • 1161.34001 10.1016/j.na.2007.08.042 2446361
    • V. Lakshmikantham A.S. Vatsala 2008 Basic theory of fractional differential equations Nonlinear Anal. 69 2677 2682 1161.34001 10.1016/j.na.2007.08.042 2446361
    • (2008) Nonlinear Anal. , vol.69 , pp. 2677-2682
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 13
    • 51349139941 scopus 로고    scopus 로고
    • Theory of fractional functional differential equations
    • 1162.34344 10.1016/j.na.2007.09.025 2450543
    • V. Lakshmikantham 2008 Theory of fractional functional differential equations Nonlinear Anal. 69 3337 3343 1162.34344 10.1016/j.na.2007.09.025 2450543
    • (2008) Nonlinear Anal. , vol.69 , pp. 3337-3343
    • Lakshmikantham, V.1
  • 14
    • 45049084850 scopus 로고    scopus 로고
    • General uniqueness and monotone iterative technique for fractional differential equations
    • 1161.34031 10.1016/j.aml.2007.09.006 2436173
    • V. Lakshmikantham A.S. Vatsala 2008 General uniqueness and monotone iterative technique for fractional differential equations Appl. Math. Lett. 21 828 834 1161.34031 10.1016/j.aml.2007.09.006 2436173
    • (2008) Appl. Math. Lett. , vol.21 , pp. 828-834
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 16
    • 52349118652 scopus 로고    scopus 로고
    • Langevin equation with two fractional orders
    • 10.1016/j.physleta.2008.08.045 2462401
    • S.C. Lim M. Li L.P. Teo 2008 Langevin equation with two fractional orders Phys. Lett. A 372 6309 6320 10.1016/j.physleta.2008.08.045 2462401
    • (2008) Phys. Lett. A , vol.372 , pp. 6309-6320
    • Lim, S.C.1    Li, M.2    Teo, L.P.3
  • 17
    • 58149231350 scopus 로고    scopus 로고
    • A Cauchy problem for some fractional abstract differential equation with non local conditions
    • G.M. N'Guerekata 2009 A Cauchy problem for some fractional abstract differential equation with non local conditions Nonlinear Anal. 70 1873-1876
    • (2009) Nonlinear Anal. , vol.70 , pp. 1873-1876
    • N'Guerekata, G.M.1
  • 19
    • 38049021511 scopus 로고    scopus 로고
    • On the solution of the fractional nonlinear Schrödinger equation
    • 10.1016/j.physleta.2007.06.071 2378723
    • S.Z. Rida H.M. El-Sherbiny A.A.M. Arafa 2008 On the solution of the fractional nonlinear Schrödinger equation Phys. Lett. A 372 553 558 10.1016/j.physleta.2007.06.071 2378723
    • (2008) Phys. Lett. A , vol.372 , pp. 553-558
    • Rida, S.Z.1    El-Sherbiny, H.M.2    Arafa, A.A.M.3
  • 21
    • 0003838373 scopus 로고
    • Cambridge University Press Cambridge 0427.47036
    • Smart, D.R.: Fixed Point Theorems. Cambridge University Press, Cambridge (1980)
    • (1980) Fixed Point Theorems
    • Smart, D.R.1
  • 22
    • 63449095682 scopus 로고    scopus 로고
    • Nonsmooth analysis and fractional differential equations
    • 05551959 10.1016/j.na.2008.09.003 2514747
    • J. Vasundhara Devi V. Lakshmikantham 2009 Nonsmooth analysis and fractional differential equations Nonlinear Anal. 70 4151 4157 05551959 10.1016/j.na.2008.09.003 2514747
    • (2009) Nonlinear Anal. , vol.70 , pp. 4151-4157
    • Vasundhara Devi, J.1    Lakshmikantham, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.