This invaluable book provides a broad introduction to the fascinating and beautiful subject of
Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non …

We introduce a discrete-time fractional calculus of variations on the time scale (hZ) a, a∈ R,
h> 0. First and second order necessary optimality conditions are established. Examples …

Using the recent formulation of Noether's theorem for the problems of the calculus of
variations with fractional derivatives, the Lagrange multiplier technique, and the fractional …

The study of fractional variational problems with derivatives in the sense of Caputo is a
recent subject, the main results being Agrawal's necessary optimality conditions of Euler …

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 …

Using Cartan's differential 1-forms theory, and assuming that the motion variables depend
on Euclidean invariants, certain dynamics of the material point and systems of material …

This book fills a gap in the literature by introducing numerical techniques to solve problems
of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such …

Calculus of variations with fractional derivatives and fractional integrals - ScienceDirect Skip
to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …

Fractional calculus (FC) represents a powerful tool in applied mathematics to study a myriad
of problems from different fields of science and engineering, with many breakthrough results …

In many applications, fractional derivatives provide better descriptions of the behavior of
dynamic systems than other techniques. For this reason, fractional calculus has been used …