A. M. A. El-Sayed , H. H. G. Hashem . A COUPLED SYSTEM OF INTEGRAL EQUATIONS IN REFLEXIVE BANACH SPACES[J]. Acta mathematica scientia, Series B, 2012 , 32(5) : 2021 -2028 . DOI: 10.1016/S0252-9602(12)60157-X

[1] Bashir A, Nieto J J. Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Comput Math Appl, 2009, 58: 1838–1843

[2] Bai C, Fang J. The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations. Appl Math Comput, 2004, 150: 611–621.

[3] Cichon M. Weak solutions of ordinary differential equations in Banach spaces. Discuss Math Differ Incl Control Optim, 1995, 15: 5–14

[4] Cichon M, Kubiaczyk I. Existence theorem for the Hammerstein integral equation. Discuss Math Differ Incl Control Optim, 1996, 16(2): 171–177

[5] Dunford N, Schwartz J T. Linear Operators. New York: Interscience, Wiley, 1958

[6] Hille E, Phillips R S. Functional Analysis and Semi-Groups. Providence, RI: Amer Math Soc Colloq Publ, 1957

[7] El-Sayed A M A, Gaafar F M, Hashem H G. On the maximal and minimal solutions of arbitrary-orders nonlinear functional integral and differenbtial equations. Math Sci Res J, 2004, 8(11): 336–348

[8] El-Sayed A M A, Hashem H G. Weak maximal and minimal solutions for Hammerstein and Urysohn integral equations in reflexive Banach spaces. Differ Equ Control Processes, 2008, 4: 50–62

[9] Gafiychuk V, Datsko B, Meleshko V. Mathematical modeling of time fractional reaction-diffusion systems. J Comput Appl Math, 2008, 220: 215–225

[10] Gejji V D. Positive solutions of a system of non-autonomous fractional differential equations. J Math Anal Appl, 2005, 302: 56–64

[11] Gafiychuk V, Datsko B, Meleshko V, Blackmore D. Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equations. Chaos Solitons Fractals, 2009, 41: 1095–1104

[12] Mitchell A R, Smith C H. An existence Theorem for weak solutions of differential equations in Banach spaces//Nonlinear Equations in Abstract Spaces. Proc Int Symp, Arlington 1977. New York: Academic Press, 1978: 387–403

[13] O’Regan D. Integral equations in reflexive Banach spaces and weak topologioes. Amer Math Soc, 1996, 124(2): 607–614

[14] O’Regan D. Fixed point theory for weakly sequentially continuous mapping. Math Comput Model, 1998, 27: 1–14

[15] Salem H A H, El-Sayed A M A. Fractional order integral equations in reflexive Banach spaces. Math Slovaca, 2005, 55(2): 169–181

[16] Salem H A H. On the nonlinear Hammerstein integral equation in Banach spaces and application to the boundary value problem of fractional order. Math Comput Model, 2008, 48: 1178–1190

[17] Su X. Boundary value problem for a coupled system of nonlinear fractional differential equations. Appl Math Lett, 2009, 22: 64–69