Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with coupled integral boundary conditions

被引:0
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作者
Kamal Shah
Muhammad Sarwar
Thabet Abdeljawad
机构
[1] Prince Sultan University,Department of Mathematics and Science
[2] University of Malakand,Department of Mathematics
[3] China Medical University,Department of Medical Research
[4] Sefako Makgatho Health Sciences University,Department of Mathematics and Applied Mathematics, School of Science and Technology
[5] Department of Mathematics,undefined
[6] Kyung Hee University,undefined
关键词
Fractal-fractional derivative; Coupled system; Karsnoselskii’s fixed point theorem; 26A33; 34A08; 28A80;
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学科分类号
摘要
A coupled system of fractal-fractional differential equations with coupled integral boundary conditions is considered. We implement Krasnoselskii’s type fixed point theorem to establish the criteria for existence of at least one solution to the considered coupled system. Also, results regarding stability of Ulam–Hyers type are derived. We give an example to justify our results.
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页码:1771 / 1785
页数:14
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