FRACTIONAL h-DIFFERENCE EQUATIONS ARISING FROM THE CALCULUS OF VARIATIONS

被引：138

作者：

Ferreira, Rui A. C. ^{[1
]}

Torres, Delfim F. M. ^{[2
]}

机构：

[1] Lusophone Univ Humanities & Technol, Fac Engn & Nat Sci, Dept Math, P-1749024 Lisbon, Portugal

[2] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2011年 / 5卷 / 01期

关键词：

Fractional discrete calculus; fractional difference calculus of variations; Euler-Lagrange equations; explicit solutions; DERIVATIVES; SYSTEMS; ENERGY; TERMS;

D O I：

10.2298/AADM110131002F

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The recent theory of fractional h-difference equations introduced in [9], is enriched with useful tools for the explicit solution of discrete equations involving left and right fractional difference operators. New results for the right fractional h sum are proved. Illustrative examples show the effectiveness of the obtained results in solving fractional discrete Euler-Lagrange equations.

引用

页码：110 / 121

页数：12

共 30 条

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