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Record Nr. |
UNISA996466513703316 |
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Autore |
Diethelm Kai |
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Titolo |
The Analysis of Fractional Differential Equations [[electronic resource] ] : An Application-Oriented Exposition Using Differential Operators of Caputo Type / / by Kai Diethelm |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 |
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ISBN |
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1-280-39183-9 |
9786613569752 |
3-642-14574-4 |
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Edizione |
[1st ed. 2010.] |
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Descrizione fisica |
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1 online resource (VIII, 247 p. 10 illus.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 2004 |
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Disciplina |
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Soggetti |
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Differential equations |
Integral equations |
Mathematical analysis |
Analysis (Mathematics) |
Ordinary Differential Equations |
Integral Equations |
Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. 237-244) and index. |
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Nota di contenuto |
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Fundamentals of Fractional Calculus -- Riemann-Liouville Differential and Integral Operators -- Caputo’s Approach -- Mittag-Leffler Functions -- Theory of Fractional Differential Equations -- Existence and Uniqueness Results for Riemann-Liouville Fractional Differential Equations -- Single-Term Caputo Fractional Differential Equations: Basic Theory and Fundamental Results -- Single-Term Caputo Fractional Differential Equations: Advanced Results for Special Cases -- Multi-Term Caputo Fractional Differential Equations. |
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Sommario/riassunto |
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Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide |
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