Array
DOI:
https://doi.org/10.12775/TMNA.2021.008Słowa kluczowe
ArrayAbstrakt
ArrayBibliografia
Z. Bai and H. Lü, Positive solutions for boundary value problem of nonlinear fractional differential equation, J. Math. Anal. Appl. 311 (2005), 495–505.
D. Baleanu, J.A.T. Machado and A.C.J. Luo, Fractional Dynamics and Control, Springer, Berlin, 2012.
K. Deimling, Nonlinear Functional Analysis, Springer, Berlin, 1985.
C.S. Goodrich, Existence of a positive solution to a class of fractional differential equations, Appl. Math. Lett. 23 (2010), 1050–1055.
C.S. Goodrich, Existence of a positive solution to systems of differential equations of fractional order, Comput. Math. Appl. 62 (2011), 1251–1268.
M. Jleli and B. Samet, Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method, Nonlinear Anal. Model. Control. 20 (2015), 367–376.
D. Guo and V. Lakskmikantham, Coupled fixed points of nonlinear operators with applications, Nonlinear Anal. 11 (1987), 623–632.
J. Harjani, B. López, and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011), 1749–1760.
R. Hilfer, Applications of Fractional Calculus in Physics, World Scientific, Singapore, 2000.
A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006.
V. Lakshmikantham and L. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009), 4341–4349.
K. Li, J. Liang and T. Xiao, New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation, J. Math. Anal. Appl. 328 (2007), 753–766.
H. Wang and L.L. Zhang, The solution for a class of sum operator equation and its application to fractioal differential equation boundary value problems, Bound. Value Probl. 2015(2015), 203.
D. Wardowski, Mixed monotone operators and their application to integral equations, J. Fixed Point Theory Appl. 19 (2017), 1103–1117.
C.J. Yuan, Multiple positive solutions for (n−1, 1)-type semipositone conjugate boundary value problems of nonlinear fractional differential equations, Electron. J. Qual. Theory Differ. Equ. 36 (2010), 1–12.
C.B. Zhai and M.R. Hao, Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems, Nonlinear Anal. 75 (2012), 2542–2551.
C.B. Zhai and L. Wang, ϕ − (h, e)-concave operators and applications, J. Math. Anal. Appl. 454 (2017), 571–584.
C.B. Zhai, W.P. Yan and C. Yang, A sum operator method for the existence and uniqueness of positive solutions to Riemann–Liouville fractional differential equation boundary value problems, Commun. Nonlinear Sci. Numer. Simul. 18 (2013), 858–866.
C.B. Zhai and L.L. Zhang, New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems, J. Math. Anal. Appl. 382 (2011), 594–614.
L.L. Zhang and H.M. Tian, Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations, Adv. Differ. Equ. 114 (2017), 1–19.
L.L. Zhang, H. Wang and X.Q. Wang, Fixed point results in set Ph,e with applications to fractional differential equations, Topol. Methods Nonlinear Anal. 54 (2019), 537–566.
X.Q. Zhang, L.S. Liu and Y.H. Wu, Fixed point theorems for the sum of three classes of mixed monotone operators and applications, Fixed Point Theory Appl. 2016 (2016), 49.
Z. Zhao, Existence and uniqueness of fixed points for some mixed monotone operators, Nonlinear Anal. 73 (2010), 1481–1490.
Pobrania
Opublikowane
Jak cytować
Numer
Dział
Licencja
Prawa autorskie (c) 2022 Array
Utwór dostępny jest na licencji Creative Commons Uznanie autorstwa – Bez utworów zależnych 4.0 Międzynarodowe.
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0
