Volume 33, Issue 1
Solvability for a Coupled System of Fractional $p$-Laplacian Differential Equations at Resonance

Commun. Math. Res., 33 (2017), pp. 33-52.

Published online: 2019-12

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• Abstract

In this paper, by using the coincidence degree theory, the existence of solutions for a coupled system of fractional $p$-Laplacian differential equations at resonance is studied. The result obtained in this paper extends some known results. An example is given to illustrate our result.

• Keywords

$p$-Laplacian, coincidence degree, existence, fractional differential equation, boundary value problem

26A33, 34B15

zhouhui0309@126.com (Hui Zhou)

zhouzf12@126.com (Zongfu Zhou)

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@Article{CMR-33-33, author = {Zhou , Hui and Zhou , Zongfu and Wang , LiPing}, title = {Solvability for a Coupled System of Fractional $p$-Laplacian Differential Equations at Resonance}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {1}, pages = {33--52}, abstract = {

In this paper, by using the coincidence degree theory, the existence of solutions for a coupled system of fractional $p$-Laplacian differential equations at resonance is studied. The result obtained in this paper extends some known results. An example is given to illustrate our result.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.01.05}, url = {http://global-sci.org/intro/article_detail/cmr/13444.html} }
TY - JOUR T1 - Solvability for a Coupled System of Fractional $p$-Laplacian Differential Equations at Resonance AU - Zhou , Hui AU - Zhou , Zongfu AU - Wang , LiPing JO - Communications in Mathematical Research VL - 1 SP - 33 EP - 52 PY - 2019 DA - 2019/12 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.01.05 UR - https://global-sci.org/intro/article_detail/cmr/13444.html KW - $p$-Laplacian, coincidence degree, existence, fractional differential equation, boundary value problem AB -

In this paper, by using the coincidence degree theory, the existence of solutions for a coupled system of fractional $p$-Laplacian differential equations at resonance is studied. The result obtained in this paper extends some known results. An example is given to illustrate our result.

Hui Zhou, Zongfu Zhou & LiPing Wang. (2019). Solvability for a Coupled System of Fractional $p$-Laplacian Differential Equations at Resonance. Communications in Mathematical Research . 33 (1). 33-52. doi:10.13447/j.1674-5647.2017.01.05
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