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Titlebook: q-Fractional Calculus and Equations; Mahmoud H. Annaby,Zeinab S. Mansour Book 2012 Springer-Verlag Berlin Heidelberg 2012 33D15, 26A33, 30

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发表于 2025-3-21 18:29:15 | 显示全部楼层 |阅读模式
书目名称q-Fractional Calculus and Equations
编辑Mahmoud H. Annaby,Zeinab S. Mansour
视频video
概述First detailed rigorous study of q-calculi.First detailed rigorous study of q-difference equations.First detailed rigorous study of q-fractional calculi and equations.Proofs of many classical unproved
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: q-Fractional Calculus and Equations;  Mahmoud H. Annaby,Zeinab S. Mansour Book 2012 Springer-Verlag Berlin Heidelberg 2012 33D15, 26A33, 30
描述.This nine-chapter monograph introduces a rigorous investigation of .q-.difference operators in standard and fractional settings. It starts with elementary calculus of .q-.differences and integration of Jackson’s type before turning to .q-.difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular  .q-.Sturm–Liouville theory is also introduced; Green’s function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional .q.-calculi. Hence fractional .q-.calculi of the types Riemann–Liouville; Grünwald–Letnikov;  Caputo;  Erdélyi–Kober and Weyl are defined analytically. Fractional .q-.Leibniz rules with applications  in .q-.series are  also obtained with rigorous proofs of the formal  results of  Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of .q-.fractional difference equations; families of .q-.Mittag-Leffler functions are defined and their properties are investigated, especially the .q-.Melli
出版日期Book 2012
关键词33D15, 26A33, 30C15, 39A13, 39A70; Basic Hypergeometric functions; One variable calculus; Zeros of anal
版次1
doihttps://doi.org/10.1007/978-3-642-30898-7
isbn_softcover978-3-642-30897-0
isbn_ebook978-3-642-30898-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2012
The information of publication is updating

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发表于 2025-3-21 20:18:17 | 显示全部楼层
Mahmoud H. Annaby,Zeinab S. Mansourourageous, and innovative relationship with American arts and American cultural diplomacy during a very sensitive and complicated historical time. Eleanor Roosevelt invited Martha Graham to perform “American Document” at the White House in 1937. Like in the case of Marion Anderson’s invitation, Grah
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Mahmoud H. Annaby,Zeinab S. Mansour an integral part of the media mix employed by Eleanor Roosevelt during her multifaceted public service career, along with her speeches, books, and magazine and newspaper articles. This chapter explains the way she capitalized on radio’s ability to be a social force, a means to educate people about
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Mahmoud H. Annaby,Zeinab S. Mansourinal chapter begins by assessing the impact of one member-one vote (OMOV) on the selection of leaders. It looks at the criteria that party members use when choosing leaders and shows that Stark was right to say that institutions are not . crucial in this respect. However, there are a small number of
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Mahmoud H. Annaby,Zeinab S. Mansourng was a new system for selecting the party leader.. Since 1965, the Conservative leader had been elected by MPs alone, but the new system created a two-stage process by which MPs would choose two candidates to put to a postal ballot of individual party members. In doing so, the Tories became the la
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Book 2012ained with rigorous proofs of the formal  results of  Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of .q-.fractional difference equations; families of .q-.Mittag-Leffler functions are defined and their properties are investigated, especially the .q-.Melli
发表于 2025-3-23 05:25:50 | 显示全部楼层
Mahmoud H. Annaby,Zeinab S. Mansoury into American consciousness. Her innermost belief was that human beings needed, first and foremost, to be safe. For this reason, she saw racism, inequality, and frequent attacks to individual freedom as the threatening marks of the cold war at home.
发表于 2025-3-23 06:49:23 | 显示全部楼层
Mahmoud H. Annaby,Zeinab S. Mansourrecognized politician and diplomat, she helped Martha Graham during her first tour in Europe. Even more so, when Mrs. Roosevelt’s old friend, Queen Juliana of the Netherlands, visited Hyde Park in 1952, she orchestrated the Queen’s meeting with Graham in New York City. Thus, on the occasion of Graha
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