Browsing by Author "Qin, Jianfang"

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Citation Count: Wang, Guotao...et al. (2020). "Explicit iteration to a nonlinear fractional Langevin equation with non-separated integro-differential strip-multi-point boundary conditions", Chaos Solitons & Fractals, Vol. 131.
Explicit iteration to a nonlinear fractional Langevin equation with non-separated integro-differential strip-multi-point boundary conditions
(2020) Wang, Guotao; Qin, Jianfang; Zhang, Lihong; Baleanu, Dumitru; 56389
By using the monotone iterative method combined with the upper and lower solutions, we not only prove the existence of extremal solutions for the nonlinear fractional Langevin equation involving fractional conformable derivative and non-separated integro-differential strip-multi-point boundary conditions, but also provide two computable explicit monotone iterative sequences that converge to the extremal solution. In order to carry out our work smoothly, we also develop a comparison principle, which plays a very important role in this article. (C) 2019 Elsevier Ltd. All rights reserved.
Citation Count: Wang, Guotao...at all (2020). "Monotone iterative method for a nonlinear fractional conformable p-Laplacian differential system", Mathematical Methods in the Applied Sciences.
Monotone iterative method for a nonlinear fractional conformable p-Laplacian differential system
(2020) Wang, Guotao; Qin, Jianfang; Zhang, Lihong; Baleanu, Dumitru; 56389
In this paper, we study the extremal solutions of nonlinear fractional p-Laplacian differential system with the fractional conformable derivative by applying monotone iterative method and a half-pair of upper and lower solutions. For the smooth running of our work, we develop a comparison principle about linear system, which play a very crucial role in this article. At last, an illustrative example is given for the main result.