The main objective of this book is to extend the scope of the q-calculus based on the definition of q-derivative [Jackson (1910)] to make it applicable to dense domains. As a matter of fact, Jackson’s definition of q-derivative fails to work for impulse points while this situation does not arise for impulsive equations on q-time scales as the domains consist of isolated points covering the case of consecutive points. In precise terms, we study quantum calculus on finite intervals.In the first part, we discuss the concepts of qk-derivative and qk-integral, and establish their basic properties. As applications, we study initial and boundary value problems of impulsive qk-difference equations and inclusions equipped with different kinds of boundary conditions. We also transform some classical integral inequalities and develop some new integral inequalities for convex functions in the context of qk-calculus. In the second part, we develop fractional quantum calculus in relation to a new qk-shifting operator and establish some existence and qk uniqueness results for initial and boundary value problems of impulsive fractional qk-difference equations.
€41.99
购买此电子书可免费获赠一本！
语言 英语 ● 格式 EPUB ● 网页 288 ● ISBN 9789813141544 ● 文件大小 22.9 MB ● 出版者 World Scientific Publishing Company ● 市 Singapore ● 国家 SG ● 发布时间 2016 ● 下载 24 个月 ● 货币 EUR ● ID 5522842 ● 复制保护 Adobe DRM
需要具备DRM功能的电子书阅读器
来自同一作者的更多电子书 / 编辑
48,151 此类电子书
