메뉴 건너뛰기




Volumn 2013, Issue , 2013, Pages

Positive solutions to fractional boundary value problems with nonlinear boundary conditions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84880157789     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2013/579740     Document Type: Article
Times cited : (6)

References (30)
  • 1
    • 0003427295 scopus 로고    scopus 로고
    • River Edge, NJ, USA World Scientific Publishing Co. 10.1142/9789812817747 MR1890104 ZBL1258.35138
    • Hilfer R., Applications of Fractional Calculus in Physics 2000 River Edge, NJ, USA World Scientific Publishing Co. viii+463 10.1142/9789812817747 MR1890104 ZBL1258.35138
    • (2000) Applications of Fractional Calculus in Physics
    • Hilfer, R.1
  • 3
    • 1242327688 scopus 로고    scopus 로고
    • Differential equations of fractional order: Methods, results and problems. i
    • 10.1080/00036810108840931 MR1887959 ZBL1031.34002
    • Kilbas A. A., Trujillo J. J., Differential equations of fractional order: methods, results and problems. I. Applicable Analysis 2001 78 1-2 153 192 10.1080/00036810108840931 MR1887959 ZBL1031.34002
    • (2001) Applicable Analysis , vol.78 , Issue.1-2 , pp. 153-192
    • Kilbas, A.A.1    Trujillo, J.J.2
  • 4
    • 25144514177 scopus 로고    scopus 로고
    • Differential equations of fractional order: Methods, results and problems. II
    • 10.1080/0003681021000022032 MR1928462 ZBL1033.34007
    • Kilbas A. A., Trujillo J. J., Differential equations of fractional order: methods, results and problems. II. Applicable Analysis 2002 81 2 435 493 10.1080/0003681021000022032 MR1928462 ZBL1033.34007
    • (2002) Applicable Analysis , vol.81 , Issue.2 , pp. 435-493
    • Kilbas, A.A.1    Trujillo, J.J.2
  • 5
    • 0038405057 scopus 로고    scopus 로고
    • Existence of positive solutions of nonlinear fractional differential equations
    • DOI 10.1016/S0022-247X(02)00716-3
    • Babakhani A., Daftardar-Gejji V., Existence of positive solutions of nonlinear fractional differential equations. Journal of Mathematical Analysis and Applications 2003 278 2 434 442 10.1016/S0022-247X(02)00716-3 MR1974017 ZBL1027.34003 (Pubitemid 36530147)
    • (2003) Journal of Mathematical Analysis and Applications , vol.278 , Issue.2 , pp. 434-442
    • Babakhani, A.1    Daftardar-Gejji, V.2
  • 6
    • 0030528474 scopus 로고    scopus 로고
    • Existence and uniqueness for a nonlinear fractional differential equation
    • DOI 10.1006/jmaa.1996.0456
    • Delbosco D., Rodino L., Existence and uniqueness for a nonlinear fractional differential equation. Journal of Mathematical Analysis and Applications 1996 204 2 609 625 10.1006/jmaa.1996.0456 MR1421467 ZBL0881.34005 (Pubitemid 126163548)
    • (1996) Journal of Mathematical Analysis and Applications , vol.204 , Issue.2 , pp. 609-625
    • Delbosco, D.1    Rodino, L.2
  • 7
    • 65049084831 scopus 로고    scopus 로고
    • Hackensack, NJ, USA World Scientific Publishing Series on Complexity, Nonlinearity and Chaos 10.1142/9789814355216 MR2894576
    • Baleanu D., Diethelm K., Scalas E., Trujillo J. J., Fractional Calculus: Models and Numerical Methods 2012 3 Hackensack, NJ, USA World Scientific Publishing xxiv+400 Series on Complexity, Nonlinearity and Chaos 10.1142/9789814355216 MR2894576
    • (2012) Fractional Calculus: Models and Numerical Methods , vol.3
    • Baleanu, D.1    Diethelm, K.2    Scalas, E.3    Trujillo, J.J.4
  • 8
    • 78649549013 scopus 로고    scopus 로고
    • On the solution set for a class of sequential fractional differential equations
    • 385209 10.1088/1751-8113/43/38/385209 MR2718329 ZBL1216.34004
    • Bǎleanu D., Mustafa O. G., Agarwal R. P., On the solution set for a class of sequential fractional differential equations. Journal of Physics A 2010 43 38 7 385209 10.1088/1751-8113/43/38/385209 MR2718329 ZBL1216.34004
    • (2010) Journal of Physics A , vol.43 , Issue.38 , pp. 7
    • Bǎleanu, D.1    Mustafa, O.G.2    Agarwal, R.P.3
  • 10
    • 0141508296 scopus 로고
    • Anomalous transit-time dispersion in amorphous solids
    • 10.1103/PhysRevB.12.2455
    • Scher H., Montroll E. W., Anomalous transit-time dispersion in amorphous solids. Physical Review B 1975 12 6 2455 2477 10.1103/PhysRevB.12.2455
    • (1975) Physical Review B , vol.12 , Issue.6 , pp. 2455-2477
    • Scher, H.1    Montroll, E.W.2
  • 12
    • 44949282247 scopus 로고
    • Damping description involving fractional operators
    • 10.1016/0888-3270(91)90016-X
    • Gaul L., Klein P., Kemple S., Damping description involving fractional operators. Mechanical Systems and Signal Processing 1991 5 81 88 10.1016/0888-3270(91)90016-X
    • (1991) Mechanical Systems and Signal Processing , vol.5 , pp. 81-88
    • Gaul, L.1    Klein, P.2    Kemple, S.3
  • 13
    • 0028878140 scopus 로고
    • A fractional calculus approach to self-semilar protein dynamics
    • Glockle W. G., Nonnenmacher T. F., A fractional calculus approach to self-semilar protein dynamics. Biophysical Journal 1995 68 1 46 53
    • (1995) Biophysical Journal , vol.68 , Issue.1 , pp. 46-53
    • Glockle, W.G.1    Nonnenmacher, T.F.2
  • 14
    • 0001983732 scopus 로고    scopus 로고
    • Fractional calculus: Some basic problems in continuum and statistical mechanics
    • New York, NY, USA Springer CISM Courses and Lectures MR1611587 ZBL0917.73004
    • Mainardi F., Carpinteri A., Mainardi F., Fractional calculus: some basic problems in continuum and statistical mechanics. Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996) 1997 378 New York, NY, USA Springer 291 348 CISM Courses and Lectures MR1611587 ZBL0917.73004
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996) , vol.378 , pp. 291-348
    • Mainardi, F.1    Carpinteri, A.2    Mainardi, F.3
  • 16
    • 25144460994 scopus 로고    scopus 로고
    • Positive solutions for boundary value problem of nonlinear fractional differential equation
    • DOI 10.1016/j.jmaa.2005.02.052, PII S0022247X05001733
    • Bai Z., Lü H., Positive solutions for boundary value problem of nonlinear fractional differential equation. Journal of Mathematical Analysis and Applications 2005 311 2 495 505 10.1016/j.jmaa.2005.02.052 MR2168413 ZBL1079.34048 (Pubitemid 41350217)
    • (2005) Journal of Mathematical Analysis and Applications , vol.311 , Issue.2 , pp. 495-505
    • Bai, Z.1    Lu, H.2
  • 17
    • 58149326839 scopus 로고    scopus 로고
    • On the fractional order m -point boundary value problem in reflexive Banach spaces and weak topologies
    • 10.1016/j.cam.2008.05.033 MR2492889
    • Salem H. A. H., On the fractional order m -point boundary value problem in reflexive Banach spaces and weak topologies. Journal of Computational and Applied Mathematics 2009 224 2 565 572 10.1016/j.cam.2008.05.033 MR2492889
    • (2009) Journal of Computational and Applied Mathematics , vol.224 , Issue.2 , pp. 565-572
    • Salem, H.A.H.1
  • 18
    • 33746795058 scopus 로고
    • General problem of the movement of a compressible fluid in a porous medium
    • Leibenson L. S., General problem of the movement of a compressible fluid in a porous medium. Izvestiia Akademii Nauk Kirgizskoi SSR 1983 9 7 10
    • (1983) Izvestiia Akademii Nauk Kirgizskoi SSR , vol.9 , pp. 7-10
    • Leibenson, L.S.1
  • 19
    • 80054946851 scopus 로고    scopus 로고
    • A study of nonlinear Langevin equation involving two fractional orders in different intervals
    • 10.1016/j.nonrwa.2011.07.052 MR2846866 ZBL1238.34008
    • Ahmad B., Nieto J. J., Alsaedi A., El-Shahed M., A study of nonlinear Langevin equation involving two fractional orders in different intervals. Nonlinear Analysis: Real World Applications 2012 13 2 599 606 10.1016/j.nonrwa.2011.07.052 MR2846866 ZBL1238.34008
    • (2012) Nonlinear Analysis: Real World Applications , vol.13 , Issue.2 , pp. 599-606
    • Ahmad, B.1    Nieto, J.J.2    Alsaedi, A.3    El-Shahed, M.4
  • 20
    • 84866019642 scopus 로고    scopus 로고
    • Bifurcation and nodal solutions for p -Laplacian problems with non-asymptotic nonlinearity at 0 or ∞
    • Dai G., Bifurcation and nodal solutions for p -Laplacian problems with non-asymptotic nonlinearity at 0 or ∞ Applied Mathematics Letters 2013 26 1 46 50
    • (2013) Applied Mathematics Letters , vol.26 , Issue.1 , pp. 46-50
    • Dai, G.1
  • 21
    • 77958085118 scopus 로고    scopus 로고
    • Antiperiodic solutions for Liénard-type differential equation with p -Laplacian operator
    • 194824 MR2679680
    • Chen T., Liu W., Yang C., Antiperiodic solutions for Liénard-type differential equation with p -Laplacian operator. Boundary Value Problems 2010 2010 12 194824 MR2679680
    • (2010) Boundary Value Problems , vol.2010 , pp. 12
    • Chen, T.1    Liu, W.2    Yang, C.3
  • 22
    • 0034670596 scopus 로고    scopus 로고
    • Upper and lower solution method and a singular boundary value problem for the one-dimensional p -Laplacian
    • 10.1006/jmaa.2000.7012 MR1800189
    • Jiang D., Gao W., Upper and lower solution method and a singular boundary value problem for the one-dimensional p -Laplacian. Journal of Mathematical Analysis and Applications 2000 252 2 631 648 10.1006/jmaa.2000.7012 MR1800189
    • (2000) Journal of Mathematical Analysis and Applications , vol.252 , Issue.2 , pp. 631-648
    • Jiang, D.1    Gao, W.2
  • 23
    • 56249103610 scopus 로고    scopus 로고
    • The existence of solutions of m -point p -Laplacian boundary value problems at resonance
    • MR2157989
    • Lian L. F., Ge W. G., The existence of solutions of m -point p -Laplacian boundary value problems at resonance. Acta Mathematicae Applicatae Sinica 2005 28 2 288 295 MR2157989
    • (2005) Acta Mathematicae Applicatae Sinica , vol.28 , Issue.2 , pp. 288-295
    • Lian, L.F.1    Ge, W.G.2
  • 24
    • 34548076507 scopus 로고    scopus 로고
    • Existence of solutions for the periodic boundary value problems with p -Laplacian operator
    • MR1997508
    • Liu B., Yu J. S., Existence of solutions for the periodic boundary value problems with p -Laplacian operator. Journal of Systems Science and Mathematical Sciences 2003 23 1 76 85 MR1997508
    • (2003) Journal of Systems Science and Mathematical Sciences , vol.23 , Issue.1 , pp. 76-85
    • Liu, B.1    Yu, J.S.2
  • 25
    • 56249133557 scopus 로고    scopus 로고
    • Multiple periodic solutions of p -Laplacian equation with one-side Nagumo condition
    • 10.4134/JKMS.2008.45.6.1549 MR2449914
    • Zhang J. J., Liu W. B., Ni J. B., Chen T. Y., Multiple periodic solutions of p -Laplacian equation with one-side Nagumo condition. Journal of the Korean Mathematical Society 2008 45 6 1549 1559 10.4134/JKMS.2008.45.6.1549 MR2449914
    • (2008) Journal of the Korean Mathematical Society , vol.45 , Issue.6 , pp. 1549-1559
    • Zhang, J.J.1    Liu, W.B.2    Ni, J.B.3    Chen, T.Y.4
  • 27
    • 36249022993 scopus 로고    scopus 로고
    • New York, NY, USA Academic Press Mathematics in Science and Engineering MR1658022
    • Podlubny I., Fractional Differential Equations 1999 198 New York, NY, USA Academic Press xxiv+340 Mathematics in Science and Engineering MR1658022
    • (1999) Fractional Differential Equations , vol.198
    • Podlubny, I.1
  • 29
    • 74149083504 scopus 로고    scopus 로고
    • Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
    • 10.1016/j.camwa.2009.06.029 MR2579500 ZBL1189.34014
    • Li C. F., Luo X. N., Zhou Y., Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations. Computers & Mathematics with Applications 2010 59 3 1363 1375 10.1016/j.camwa.2009.06.029 MR2579500 ZBL1189.34014
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.3 , pp. 1363-1375
    • Li, C.F.1    Luo, X.N.2    Zhou, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.