وجود و یگانگی جواب‌های مثبت نوعی مسأله مقدار مرزی شامل معادله دیفرانسیل مرتبه کسری

1. Agarwal, Ravi P., "Formulation of Euler-Lagrange equations for fractional variational problems," J. Math. Anal. Appl )2002) 368-379. 2. Harandi, Amini A., Emami H., "A fixed point theorem for contraction type maps in partially orderd metric spaces and application to ordinary differential equations," Non. Anal., 72 (2010) 2238-2242. 3. Miller, Kenneth S., Ross, Bertram, "An Introduction to the Fractional Calculus and Fractional Differential Equation", Wiley ,NewYork (1993). 4. Oldham, Keith B., Spanier, Jerome, " The Fractional Calculus: Integrations and Differentiations of Arbitrary Order", Academic Press,New York (1974). 5. Samko, Stefan G., Kilbas, Anatoly A., Marichev, Oleg I., "Fractional Integral and Derivative: Theory and Applications", Gordon & Breach,Yverdon (1993). 6. Delbosco D., Rodino L., "Existence and uniqueness for a nonlinear fractional differential equations", J. Math. Anal. Appl. 204 (1996) 609-625. 7. Zhang S., "The existence of a positive solution for nonlinear fractional differential equation", J. Math. Anal. Appl., 252 (2000) 804-812. 8. Jafari H., Daftardar V. Gejji, "Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method," Appl. Math. Comput., 180 (2006) 700-706. 9. Bai, Zhanbing; Lü, Haishen, "Positive solutions for a boundary value problem of nonlinear fractional differential equation", J. Math. Anal. and App., 311 (2005) 495-505. 10. Kaufmann E. R., Emboumi E., "The existence of a positive solution for a nonlinear fractional differential equation", J. Qual. Theory Differ. Equ., 3 (2008) 1-11. 11. Liu, Y., "Positive solutions for Singular FDES", U. P. B. Sci. Bull., Series A, 73 (2011) 89-100. 12. Kilbas A. A., Srivastava H. H., Trujillo J. J., "Theory and Applications of Fractional Differential Equations", Elsevier, Amsterdam (2006). 13. Podlubny, Igor, "Fractional Differential Equations", Academic Press,New York (1999). 14. Karapinar E., "α-ψ-Geraghty contraction type mappings and some related fixed point results," Filomat, 28 (1) (2014) 37-48. 15. Geraghty M., "On contraction mappings", Pros. Amer. Math. Soc. ,40 (1973) 604-608. 16. Harjani J., Sadarangani K., "Fixed point theorems for weakly contractive mappings in partially orderd sets", Nonlinear Analysis:Theory method and applications, 71 (7) (2009) 3403-3410. 17. Nieto J. J., Lopez R., Rodriguez, "Contractive mapping theorems in partially orderd sets and application to ordinary differential equations", Order, 22 (3)(2005) 223-239