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DOI:

https://doi.org/10.12775/TMNA.2020.061

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Bibliografia

B. Ahmad and J. Nieto, Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions, Comput. Math. Appl. 58 (2009), 1838–1843.

Z. Bai and H. Lü, Positive solutions for boundary value problem of nonlinear fractional differential equation, J. Math. Anal. Appl. 311 (2005), 495–505.

Y. Chen and X. Tang, Solvability of sequential fractional order multi-point boundary value problems at resonance, Appl. Math. Comput. 218 (2012), 7638–7648.

S. Das, Functional Fractional Calculus for System Identification and Controls, Springer, New York, 2008.

W. Ge, Boundary Value Problems for Ordinary Nonlinear Differential Equations, Science Press, Beijing, 2007 (in Chinese).

Z. Hu and W. Liu, Solvability for fractional order boundary value problems at resonance, Bound. Value Probl. 2011 (2011), no. 20.

Z. Hu, W. Liu and T. Chen, Existence of solutions for a coupled system of fractional differential equations at resonance, Bound. Value Probl. 2012 (2012), no. 98.

L. Hu and S. Zhang, Existence and uniqueness of solutions for a higher-order coupled fractional differential equations at resonance, Adv. Differ. Equ. 2015 (2015), no. 202.

W. Jiang, Solvability for a coupled system of fractional differential equations at resonance, Nonlinear Anal. 13 (2012), 2285–2292.

I. Podlubny, Fractional Differential Equations, Academic Press, SanDiego, 1999.

W. Rui, Existence of solutions of nonlinear fractional differential equations at resonance, Electron. J. Qual. Theory Differ. Equ. 66 (2011), 1–12.

K. Shah, A. Ali and R. Ali Khan, Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems, Bound. Value Probl. 2016 (2016), no. 43.

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

Y. Wu and W. Liu, Positive solutions for a class of fractional differential equations at resonance, Adv. Differ. Equ. 2015 (2015), no. 241.

S. Zhang, Positive solutions for boundary value problems of nonlinear fractional differential equations, Electron. J. Differ. Equ. 2006 (2006), no. 36, 1–12.

Y. Zhang, Z. Bai and T. Feng, Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance, Comput. Math. Appl. 61 (2011), 1032–1047.

X. Zhang and H. Feng, Eigenvalue for a system of Caputo fractional differential equations, J. Comput. Anal. Appl. 3 (2018), no. 25, 544–551.

Opublikowane

2021-12-02

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1.
& . Topological Methods in Nonlinear Analysis [online]. 2 grudzień 2021, T. 58, nr 2, s. 389–401. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2020.061.

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