VARIATIONAL CALCULUS WITH FRACTIONAL AND CLASSICAL DERIVATIVES

Faculty Science Year: 2012
Type of Publication: Article Pages: 1261-1269
Authors:
Herzallah, Mohamed A. E
Journal: ROMANIAN JOURNAL OF PHYSICS EDITURA ACAD ROMANE Volume: 57
Research Area: Physics ISSN ISI:000318577800002
Keywords : Fractional integral, fractional derivative, fractional calculus of variations    
Abstract:
This paper presents necessary and sufficient optimality conditions of Euler-Lagrange type for fractional variational problems with functionals containing classical derivatives and right or left fractional derivatives in both Riemann-Liouville and Caputo senses. We use, as variational functionals, right and left fractional integrals instead of the classical integral.
    
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