Journal of Mathematical Sciences: Advances and Applications
LAPLACIAN OPERATOR[1] Z. B. Bai and H. S. LΓΌ, Positive solutions for boundary
value problem of nonlinear fractional differential equation, J. Math.
Anal. Appl. 311 (2005), 495-505.
[2] Y. K. Chang and J. J. Nieto, Some new existence results for
fractional differential inclusions with boundary conditions, Math.
Comput. Model. 49 (2009), 605-609.
[3] M. EL-Shahed and J. J. Nieto, Nontrivial solutions for a nonlinear
multi-point boundary value problem of fractional order, Computers and
Mathematics with Applications (2010), 1-6.
[4] L. Gaul, P. Klein and S. Kempfle, Damping description involving
fractional operators, Mech. Systems Signal Process 5 (1991), 81-88.
[5] W. G. Glockle and T. F. Nonnenmacher, A fractional calculus
approach to self-similar protein dynamics, Biophys. J. 68 (1995),
46-53.
[6] R. Hilfer, Applications of Fractional Calculus in Physics, World
Scientific, Singapore, 2000.
[7] I. Podlubny, Fractional Differential Equations, (Mathematics in
Science and Engineering), Academic Press, New York, 1999.
[8] I. Podlubny, Fractional Differential Equations, (Mathematics in
Science and Engineering), Vol. 198, Academic Press, New
York/London/Toronto, 1999.
[9] X. W. Su, Boundary value problem for a coupled system of nonlinear
fractional differential equations, Appl. Math. Lett. 22 (2009),
64-69.
[10] J. H. Wang, H. J. Xiang and Z. G. Liu, Positive solutions for
three-point boundary value problems of nonlinear fractional
differential equations with p-Laplacian, Far East Journal of
Applied Mathematics 37(1) (2009), 33-47.
[11] J. H. Wang and H. J. Xiang, Upper and lower solutions method for
a class of singular fractional boundary value problem with
p-Laplacian operator, Abstract and Applied Analysis (2010)
doi:10.1155/2010/971824.
