Periodic Problem for Two-Term Fractional Differential Equations

被引：0
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作者：
Svatoslav Staněk
机构：
[1] Faculty of Science Palacký University,Department of Mathematical Analysis
来源：
Fractional Calculus and Applied Analysis | 2017年 / 20卷
关键词：
Primary 26A33; 34A08; Secondary 34C25; 33E12; two-term fractional differential equation; periodic problem; existence, multiplicity; uniqueness; maximum principle; Caputo fractional derivative; Basset fractional differential equation;
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学科分类号：
摘要：
We discuss the existence, multiplicity and uniqueness of solutions to the periodic problem cDαu + q(t, u)cDβu = f(t, {vnu}), {vnu}(0) = u({vnT}), where 0 > β > α ≤ 1. The existence results are proved by the combination of the Schauder fixed point theorem with the maximum principle for the Caputo fractional derivative and the structure of compact sets in R.
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页码：662 / 678
页数：16
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