- [1] B. Ahmad and J. J. Nieto, Existence of solutions for nonlocal boundary value problems of higherorder nonlinear fractional differential equations, Abstr. Appl. anal, 1(2009),1–9.
- [2] G. A. Anastassiou, On right fractional calculus, Chaos, Solitons and fractals, 42(2009), 365–376.
- [3] A. Alkhazzan, P. Jiang, D. Baleanu, H. Khan, and A. Khan, Stability and existence results for a class of nonlinear fractional differential equations with singularity, Math Meth Appl Sci, 41(18) (2018), 1-14.
- [4] B. Ahmad and J. J. Nieto, Existence results for a coupled system of nonlinear fractional differen- tial equations with three point boundary conditions, Comput. Math. Appl, 58 (2009), 1838–1843.
- [5] W. Al-Sadi, H. Zhenyou, and A. Alkhazzan, Existence and stability of a positive solution for nonlinear hybrid fractional differential equations with singularity, J Taibah Univ Sci, 13 (2019), 951–960.
- [6] M. Benchohra, J. R. Graef, and S. Hamani, Existence results for boundary value problems with nonlinear fractional differential equations, Appl. Anal, 87 (2008), 851–863.
- [7] G. Chai, Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator. Bound. Value. Probl, 1 (2012), 1–20.
- [8] X. Dou, Y. Li, and P. Liu, Existence of solutions for a four point boundary value problem of a nonlinear fractional differential equation, Op. Math, 31 (2011), 359–372.
- [9] MH. Derakhshan, A. Ansari, and M. Ahmadi Darani, On asymptotic stability of Weber frac- tional differential systems, Comput. Methods Differ.Equ, 6(1) (2018), 30–9.
- [10] M. El-Shahed, On the existence of positive solutions for a boundary value problem of fractional order, Thai J. Math, 5 (2007), 143–150.
- [11] D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, Orlando, 5 (1988).
- [12] C. S. Goodrich, Existence and uniqueness of solutions to a fractional difference equation with non-local conditions, Comput. Math. Appl, 61 (2011), 191–202.
- [13] M. Gurbuz and M. Tezer-Sezgin, Numerical stability of rbf approximation for unsteady mhd flow equations, 2 (2019), 123–134.
- [14] R. Hilfer, Application of fractional calculus in physics, World. scientic, 2000.
- [15] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and applications of fractional differ- ential equations, Elsevier, 204 (2006). https://doi.org/10.1155/2009/494720.
- [16] R. A. Khan and M. Rehman, Existence of Multiple Positive Solutions for a General System of Fractional Dierential Equations, Commun. Appl. Nonlinear Anal, 18 (2011), 25–35.
- [17] R. A. Khan, M. Rehman, and N. Asif, Three point boundary value problems for nonlinear fractional differential equations, Acta. Math. Sci, 31(4) (2011), 1–10.
- [18] H. Khan, R. Khan, and M. Alipour,On existence and uniqueness of solution for fractional boundary value problem, j. fractional calc. & appl. , Lecture Notes in Mathematics, 6(1) (2015).
- [19] H. Khan, W. Chen, and H. Sun, Analysis of positive solution and Hyers-Ulam stability for a class of singular fractional differential equations with p-Laplacian in Banach space, Math Method Appl Sci , 41(9), (2018), 3430–3440.
- [20] V. V. Kharat and S. R. Tate, Ulam stabilities for a class of nonlinear mixed fractional integro– differential equations, Nonlin Stud, 27(3) (2020), 811–821.
- [21] J. A. L´opez-Renter´ıa and B. Aguirre-Hernandez and G, Lmi stability test for fractional order initialized control systems, Appl and Comput Mathematics, 18(2019), 50–61.
- [22] RL. Magin, Fractional calculus in bioengineering, part 1, Critical Reviews in Biomedical Engi- neering, 32 (2004).
- [23] K. S. Miller and B. Ross, An introduction to the fractional calculus and fractional differential equations, Wiley, 1993.
- [24] K. B. Oldhalm and J. Spainer, The fractional calculus, Academic Press, New York, 1974.
- [25] K.B. Oldham, Fractional differential equations in electrochemistry, Adv Eng Soft, 41 (2010), 9–12.
- [26] I. Podlubny, Fractional dierential equations, Academic Press, New York, 1999.
- [27] M. Rehman, R. A. Khan, and J. Henderson, Existence and uniqueness of solutions for nonlinear fractional differential equations with integral boundary conditions, Fract. Dyn.Syst, 1 (2011), 29–43.
- [28] J. Sabatier, O. P. Agrawal, and J. A. Tenreiro and Machado, Advances in Fractional Calculus, Springer, 4(9) (2007).
- [29] X. Su, Boundary value problem for a coupled system of nonlinear fractional differential equa- tions, Appl. Math. Lett, 22 (2009), 64–69.
- [30] S. R. Tate and H. T. Dinde, Ulam stabilities for nonlinear fractional integro-differential equa- tions with constant coefficient via Pachpatte’s inequality, J. Math. Model, 8(3) (2020), 1–22.
- [31] S. R. Tate and H. T. Dinde, Existence and uniqueness results for nonlinear implicit fractional differential equations with non local conditions, Palest. J .Math, 9(1) (2020), 212–219.
- [32] S. Tate, H. T. Dinde, Some Theorems on Cauchy Problem for Nonlinear Fractional Differential Equations with Positive Constant Coefficient, Mediterr. J. Math, 14(2) (2017).
- [33] J. Wang, H. Xiang, and Z. Liu, Existence of concave positive solutions for boundary-value problem of nonlinear fractional differential equation with p-laplacian operator, Int. J. Math. Math. Sci, 1 (2010), 1–17.
- [34] X. Xu, D. Jiang, and C. Yuan, Multiple positive solutions to singular positone and semipositone Dirichlet-type boundary-value problems of nonlinear fractional differential equations, Nonlinear Anal, 74 (2011), 5685–5696.
- [35] Q. Yang and W. Yang, Positive solution for q-fractional four-point boundary value problems with pLaplacian operator, J.Inequal.Appl, 481 (2014), 1–14.
- [36] C. Yuan, D. Jiang, and X. Xu, Singular positone and semipositone boundary value prob- lems of nonlinear fractional differential equations, Math. Probl. Engineering, 1 (2009), 1–17, https://doi.org/10.1155/2009/535209.
- [37] Q. Zhang, S. Chen, and J. Lu, Upper and lower solution method for fourth-order four point boundary value problems, J Comput and Appl Math, 196 (2006), 387–393.
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