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Nabla Euler-Lagrange Equations in Discrete Fractional Variational Calculus within Riemann and Caputo

Thabet Abdeljawad

Abstract



Different fractional difference types of Euler-Lagrange equations are obtained within Riemann and Caputo by making use of
different versions of integration by parts formulas in fractional difference calculus. An example is presented to illustrate part of the results.

Keywords


delta and nabla fractional sums, right (left) delta and nabla Riemann, dual identity, Euler equation, integration by parts.

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