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All issues Volume 27 / No 4 (August 2022) Wuhan Univ. J. Nat. Sci., 27 4 (2022) 287-295 References
Open Access
Issue
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 4, August 2022
Page(s) 287 - 295
DOI https://doi.org/10.1051/wujns/2022274287
Published online 26 September 2022
  1. Delbosco D. Fractional calculus and function spaces[J]. J Fract Calc, 1994 , 6: 45-53. [MathSciNet] [Google Scholar]
  2. Miller K S, Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations[M]. New York: Wiley, 1993. [Google Scholar]
  3. Lakshmikantham V, Leela S. Theory of fractional differential inequalities and applications[J]. Com Appl Anal, 2007, 11: 395-402. [Google Scholar]
  4. Lakshmikantham V, Devi J. Theory of fractional differential equations in a Banach space[J]. European J Pure Appl Math, 2008(1): 38-45. [Google Scholar]
  5. Lakshmikantham V, Leela S. Nagumo-type uniqueness result for fractional differential equations[J]. Nonlinear Analysis: Theory, Methods & Applications, 2009, 71(7/8): 2886-2889. [CrossRef] [Google Scholar]
  6. Lakshmikantham V, Leela S. A Krasnoselskii-Krein-type uniqueness result for fractional differential equations[J]. Nonlinear Analysis: Theory, Methods & Applications, 2009, 71(7/8): 3421-3424. [CrossRef] [Google Scholar]
  7. Lakshmikantham V. Theory of fractional differential equations[J]. Nonlinear Analysis: Theory, Methods & Applications, 2008, 69(10): 3337-3343. [CrossRef] [MathSciNet] [Google Scholar]
  8. Yu C, Gao G Z. Existence of fractional differential equations[J]. Journal of Mathematical Analysis and Applications, 2005, 310(1): 26-29. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  9. Zhang S Q. The existence of a positive solution for a nonlinear fractional differential equation[J]. J Math Anal Appl, 2000 , 252(2): 804-812. [CrossRef] [MathSciNet] [Google Scholar]
  10. Zhang S Q. Existence of positive solution for some class of nonlinear fractional differential equation[J] . J Math Anal Appl, 2003, 278(1): 136-148. [CrossRef] [MathSciNet] [Google Scholar]
  11. Feng W, Sun S , Sun Y. Existence of positive solutions for a generalized and fractional ordered Thomas-Fermi theory of neutral atoms[J]. Advances in Differential Equations, 2015, 2015: 350. [CrossRef] [Google Scholar]
  12. Bai Z. Positive solutions for boundary value problem of nonlinear fractional differential equation[J]. J Math Anal Appl, 2005, 311: 495-505. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  13. Zhang S Q. Positive solutions for boundary-value problems of nonlinear fractional differential equations[J]. Electronic Journal of Differential Equations, 2006, 36:1-12. [Google Scholar]
  14. Kosmatov N. A singular boundary value problem for nonlinear differential equations of fractional order[J]. J Appl Math Comput, 2009, 29: 125-135. [CrossRef] [MathSciNet] [Google Scholar]
  15. Xu X J, Jiang D Q, Yuan C J. Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equations[J]. Nonlinear Anal TMA, 2009 ,71: 4676-4688. [CrossRef] [Google Scholar]
  16. Su X W. Boundary value problem for a coupled system of nonlinear fractional differential equations[J]. Appl Math Lett, 2009, 22(1): 64-69. [Google Scholar]
  17. Liang S, Zhang J. Positive solutions for boundary value problems of nonlinear fractional differential equation[J]. Nonlinear Analysis, 2009, 71: 5545-5550. [CrossRef] [MathSciNet] [Google Scholar]
  18. Agarwal R P, O'Regan D, Staněk S. Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations[J]. Journal of Mathematical Analysis and Applications, 2010, 371(1): 57-68. [CrossRef] [MathSciNet] [Google Scholar]
  19. Jiang D Q, Yuan C J. The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application[J]. Nonlinear Analysis: Theory, Methods & Applications, 2010, 72(2): 710-719. [CrossRef] [MathSciNet] [Google Scholar]
  20. Kaufmann E R, Mboumi E. Positive solutions of a boundary value problem for a nonlinear fractional differential equations[J]. Electron Diff Equ, 2008(3): 1-11. [MathSciNet] [Google Scholar]
  21. El-Shahed M. Positive solutions for boundary value problem of nonlinear fractional differential equation[J]. Abstract and Applied Analysis , 2007 (2007) :1-8. [CrossRef] [Google Scholar]
  22. Bai Z B, Lü H S. Positive solutions for boundary value problem of nonlinear fractional differential equation[J]. Journal of Mathematical Analysis and Applications, 2005, 311(2): 495-505. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  23. Goodrich C. Existence of a positive solution to a class of fractional differential equations[J]. Appl Math Lett, 2010, 23: 1050-1055. [CrossRef] [MathSciNet] [Google Scholar]
  24. Jleli M, Samet B. Existence of positive solutions to a coupled system of fractional differential equations[J]. Math Methods Appl Sci, 2015, 38: 1014-1031. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  25. Ahmad B, Nieto J. Existence results for a coupled system of nonlinear fractional differential of a boundary value problem for a nonlinear fractional differential equation[J]. Electronic Journal of Qualitative Theory of Differential Equations, 2008(3): 1-11. [Google Scholar]
  26. Bai Z B. On positive solutions of a nonlocal fractional boundary value problem[J]. Nonlinear Analysis: Theory, Methods & Applications, 2010, 72(2): 916-924. [CrossRef] [MathSciNet] [Google Scholar]
  27. Ahmad B, Sivasundaram S. On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order[J]. Applied Mathematics and Computation, 2010, 217(2): 480-487. [CrossRef] [MathSciNet] [Google Scholar]
  28. Li C F, Luo X N, Zhou Y. Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations[J]. Computers & Mathematics with Applications, 2010, 59(3): 1363-1375. [CrossRef] [MathSciNet] [Google Scholar]
  29. Zhao X K, Chai C W, Ge W G. Positive solutions for fractional four-point boundary value problems[J]. Commun Nonlinear Sci Numer Simulat, 2011, 16(9): 3665-3672. [NASA ADS] [CrossRef] [Google Scholar]
  30. Zhou W X, Chu Y D. Existence of solutions for fractional differential equations with multi-point boundary conditions[J]. Communications in Nonlinear Science and Numerical Simulation, 2012, 17(3): 1142-1148. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  31. Ji D, Ge W. Positive solution for four-point nonlocal boundary value problems of fractional order[J]. Math Methods Appl Sci, 2014, 37: 1232-1239. [NASA ADS] [CrossRef] [MathSciNet] [Google Scholar]
  32. Salem H A H. On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order[J]. Computers & Mathematics with Applications, 2010, 59(3): 1278-1293. [Google Scholar]
  33. Rehman M, Khan R. Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations[J]. Appl Math Lett, 2010, 23(9): 1038-1044. [CrossRef] [MathSciNet] [Google Scholar]
  34. Li C, Luo X , Zhou Y. Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations[J]. Comput Math Appl, 2010 , 59: 1363-1375. [CrossRef] [MathSciNet] [Google Scholar]
  35. Kong X S, Li H T, Qin S L, et al. Bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations[J]. J Appl Math Comput, 2017, 54: 81-93. [CrossRef] [MathSciNet] [Google Scholar]
  36. Guezane-Lakoud A, Ashyralyev A. Positive solutions for a system of fractional differential equations with nonlocal integral boundary conditions[J]. Differential Equations and Dynamical Systems, 2017, 25(4): 519-526. [CrossRef] [MathSciNet] [Google Scholar]
  37. Avery R I, Peterson A C. Three positive fixed points of nonlinear operators on ordered Banach spaces[J]. Computers & Mathematics with Applications, 2001, 42(3/4/5): 313-322. [Google Scholar]

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