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System of fractional boundary value problem with p-Laplacian and advanced arguments
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2021-07-29 , DOI: 10.1186/s13662-021-03508-4 Amina Mahdjouba 1 , Abdelghani Ouahab 1 , Juan J. Nieto 2
中文翻译:
带有 p-Laplacian 和高级参数的分数边值问题系统
更新日期:2021-07-29
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2021-07-29 , DOI: 10.1186/s13662-021-03508-4 Amina Mahdjouba 1 , Abdelghani Ouahab 1 , Juan J. Nieto 2
Affiliation
In this paper, we discuss the existence and multiplicity of positive solutions for a system of fractional differential equations with boundary condition and advanced arguments. The existence result is proved via Leray–Schauder’s fixed point theorem type in a vector Banach space. Further, by using a new fixed point theorem in order Banach space, we study the multiplicity of positive solutions. Finally, some examples are given to illustrate our results.
中文翻译:
带有 p-Laplacian 和高级参数的分数边值问题系统
在本文中,我们讨论了具有边界条件和高级参数的分数阶微分方程组的正解的存在性和多重性。存在性结果通过向量 Banach 空间中的 Leray-Schauder 不动点定理类型证明。此外,通过在阶 Banach 空间中使用新的不动点定理,我们研究了正解的多重性。最后,给出了一些例子来说明我们的结果。