Fractional h-difference equations arising from the calculus of variations
Copyright policy )Fractional h-difference equations arising from the calculus of variations
The recent theory of fractional h-difference equations introduced in [N.R.O. Bastos, R. A. C. Ferreira, D. F. M. Torres: Discrete-time fractional variational problems, Signal Process. 91 (2011), no. 3, 513{524], 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.
- University of Aveiro Portugal
- Universidade Lusófona Portugal
Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), Fractional difference calculus of variations, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Euler-Lagrange equations, 39A12, 49J05, 49K05, Explicit solutions, Fractional discrete calculus, Mathematics - Optimization and Control
Mathematics - Classical Analysis and ODEs, Optimization and Control (math.OC), Fractional difference calculus of variations, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Euler-Lagrange equations, 39A12, 49J05, 49K05, Explicit solutions, Fractional discrete calculus, Mathematics - Optimization and Control
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