Cite

[1] B. Ahmed, S.K. Ntouyas, A. Alsaedi, New existence results for nonlinear fractional differential equations with three-point integral boundary condi­tions. Advances in Difference Equations, Vol. 2011, (2011), Article ID 107384, 11 pages.10.1155/2011/107384Search in Google Scholar

[2] K. Balachandran, J.Y. Park, Nonlocal Cauchy problem for abstract frac­tional semilinear evolution equations. Nonlinear Analysis, 71, (2009), 4471-4475.10.1016/j.na.2009.03.005Search in Google Scholar

[3] A. Belarbi, M. Benchohra, A. Ouahab, Uniqueness results for fractional functional differential equations with infinite delay in Frechet spaces. Appl. Anal., 85, (2006), 1459-1470.10.1080/00036810601066350Search in Google Scholar

[4] M. Benchohra, J. Henderson, S.K. Ntouyas, A. Ouahab, Existence results for fractional order functional differential equations with infinite delay. J. Math. Anal. Appl., 338(2), (2008), 1340-1350.10.1016/j.jmaa.2007.06.021Search in Google Scholar

[5] M. Benchohra, S. Hamania, S.K. Ntouyas, Boundary value problems for differential equations with fractional order and nonlocal conditions. Non­linear Analysis, 71, (2009), 2391-2396.10.1016/j.na.2009.01.073Search in Google Scholar

[6] Z. Dahmani, M.M. Mesmoudi, R. Bebbouchi, The foam drainage equation with time and space fractional derivatives solved by the ADM method. E. J. Qualitative Theory of Diff. Equ., 30, (2008), 1-10.10.14232/ejqtde.2008.1.30Search in Google Scholar

[7] D. Delbosco, L. Rodino, Existence and uniqueness for a fractional differ­ential equation. Journal of Mathematical Analysis and Applications, 204, (1996), 609-625.10.1006/jmaa.1996.0456Search in Google Scholar

[8] R. Gorenflo, F. Mainardi, Fractional calculus: integral and differential equations of fractional order. Springer Verlag, Wien, (1997), 223-276.10.1007/978-3-7091-2664-6_5Search in Google Scholar

[9] R. Hilfer, Applications of fractional calculus in physics. World Scientific Publishing Co., Inc., River Edge, NJ, (2000).10.1142/3779Search in Google Scholar

[10] O.K. Jaradat, A. Al-Omari, S. Momani, Existence of the mild solution for fractional semilinear initial value problems. Nonlinear Analysis, 69, (2008), 3153-3159.10.1016/j.na.2007.09.008Search in Google Scholar

[11] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and applications of fractional differential equations. Elsevier, Amsterdam, (2006).Search in Google Scholar

[12] M.A. Krasnoselskii, Two remarks on the method of successive approxima­tions. Uspekhi Matematicheskikh Nauk, 10, (1955), 123-127.Search in Google Scholar

[13] V. Lakshmikantham and A.S. Vatsala, Theory of fractional differential inequalities and applications. Commun. Appl. Anal., 11(3-4), (2007), 395­402.Search in Google Scholar

[14] V. Lakshmikantham and A.S. Vatsala, General uniqueness and monotone iterative technique for fractional differential equations. Appl. Math. Lett., 21(8), (2008), 828-834.10.1016/j.aml.2007.09.006Search in Google Scholar

[15] X. Liu, M. Jia, B. Wu, Existence and uniqueness of solution for fractional differential equations with integral boundary conditions. E. J. Qualitative Theory of Diff. Equ., 69, (2009), 1-10.10.14232/ejqtde.2009.1.69Search in Google Scholar

[16] F. Mainardi, Fractional calculus: Some basic problems in continuum and statistical mechanics. Fractals and fractional calculus in continuum mechanics (Udine, 1996), 291-348, CISM Courses and Lectures, 378, Springer, Vienna, (1997).Search in Google Scholar

[17] M.M. Matar, Boundary Value Problem for Some Fractional Integrodiffer- ential Equations with Nonlocal Conditions. IJNS, International Journal of Nonlinear Science, 11(1), (2011), 3-9.Search in Google Scholar

[18] I. Podlubny, Fractional differential equations. An introduction to frac­tional derivatives, fractional differential equations, to methods of their solution and some of their applications. Mathematics in Science and En­gineering, 198. Academic Press, Inc., San Diego, CA, (1999).Search in Google Scholar

[19] Z. Shuqin, Existence of solution for a boundary value problem of fractional order. Acta Mathematica Scientia, 26B(2), (2006), 220-228.10.1016/S0252-9602(06)60044-1Search in Google Scholar

[20] P. Zhang, Existence of positive solutions for nonlocal second-order bound­ary value problem with variable parameter in Banach spaces. Fixed Point Theory and Applications, 1(43), (2011), 1-6. 10.1186/1687-1812-2011-43Search in Google Scholar

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