Qfractional calculus and equations
Resource Information
The work Qfractional calculus and equations represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Qfractional calculus and equations
Resource Information
The work Qfractional calculus and equations represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Qfractional calculus and equations
 Statement of responsibility
 Mahmoud H. Annaby, Zeinab S. Mansour
 Language
 eng
 Summary
 This ninechapter monograph introduces a rigorous investigation of qdifference operators in standard and fractional settings. It starts with elementary calculus of qdifferences and integration of Jackson's type before turning to qdifference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular qSturmLiouville 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 qcalculi. Hence fractional qcalculi of the types RiemannLiouville; GrünwaldLetnikov; Caputo; ErdélyiKober and Weyl are defined analytically. Fractional qLeibniz rules with applications in qseries are also obtained with rigorous proofs of the formal results of AlSalamVerma, which remained unproved for decades. In working towards the investigation of qfractional difference equations; families of qMittagLeffler functions are defined and their properties are investigated, especially the qMellinBarnes integral and Hankel contour integral representation of the qMittagLeffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing qcounterparts of Wiman's results. Fractional qdifference equations are studied; existence and uniqueness theorems are given and classes of Cauchytype problems are completely solved in terms of families of qMittagLeffler functions. Among many qanalogs of classical results and concepts, qLaplace, qMellin and q2Fourier transforms are studied and their applications are investigated
 Cataloging source
 GW5XE
 Dewey number
 515/.83
 Index
 index present
 Language note
 English
 LC call number
 QA314
 LC item number
 .A56 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 2056
Context
Context of Qfractional calculus and equationsWork of
No resources found
No enriched resources found
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/resource/o8llbMlecF0/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/resource/o8llbMlecF0/">Qfractional calculus and equations</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Work Qfractional calculus and equations
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/resource/o8llbMlecF0/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/resource/o8llbMlecF0/">Qfractional calculus and equations</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>