Modeling with fractional difference equations
In this paper, we develop some basics of discrete fractional calculus such as Leibniz rule and summation by parts formula. We define simplest discrete fractional calculus of variations problem and derive Euler–Lagrange equation. We introduce and solve Gompertz fractional difference equation for tumo...
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| Vydané v: | Journal of mathematical analysis and applications Ročník 369; číslo 1; s. 1 - 9 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Amsterdam
Elsevier Inc
01.09.2010
Elsevier |
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| ISSN: | 0022-247X, 1096-0813 |
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| Abstract | In this paper, we develop some basics of discrete fractional calculus such as Leibniz rule and summation by parts formula. We define simplest discrete fractional calculus of variations problem and derive Euler–Lagrange equation. We introduce and solve Gompertz fractional difference equation for tumor growth models. |
|---|---|
| AbstractList | In this paper, we develop some basics of discrete fractional calculus such as Leibniz rule and summation by parts formula. We define simplest discrete fractional calculus of variations problem and derive Euler–Lagrange equation. We introduce and solve Gompertz fractional difference equation for tumor growth models. |
| Author | Atıcı, Ferhan M. Şengül, Sevgi |
| Author_xml | – sequence: 1 givenname: Ferhan M surname: ATICI fullname: ATICI, Ferhan M organization: Department of Mathematics and Computer Science, Western Kentucky University, Bowling Green, KY42101-3576, United States – sequence: 2 givenname: Sevgi surname: SENGÜL fullname: SENGÜL, Sevgi organization: Department of Mathematics and Computer Science, Western Kentucky University, Bowling Green, KY42101-3576, United States |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22835331$$DView record in Pascal Francis |
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| Keywords | Discrete fractional calculus Calculus of variations Fractional summation by parts Euler Lagrange equation Mathematical analysis Variational calculus Difference equation Summation |
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| SubjectTerms | Calculus of variations Calculus of variations and optimal control Difference and functional equations, recurrence relations Discrete fractional calculus Exact sciences and technology Finite differences and functional equations Fractional summation by parts Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use |
| Title | Modeling with fractional difference equations |
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