Generalized Isoperimetric FVPs Via Caputo Approach

In this paper, we study several fractional variational problems with functionals that contain n unknown functions with their higher order Caputo derivatives and Riemann–Liouville integrals. We prove generalized fractional Euler–Lagrange equations. We also study an isoperimetric problem with multiple...

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Bibliographic Details
Published inUniversitatis Iagellonicae acta mathematica Vol. 56; p. 23
Main Authors Amele Taïeb, Dahmani, Zoubir
Format Journal Article
LanguageEnglish
Published Kraków Jagiellonian University-Jagiellonian University Press 01.01.2019
Subjects
Euler-Lagrange equation
Functionals
Isoperimetric problem
Mathematical analysis
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ISSN0860-0120
2084-3828
DOI10.4467/20843828AM.19.003.12111

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Summary:In this paper, we study several fractional variational problems with functionals that contain n unknown functions with their higher order Caputo derivatives and Riemann–Liouville integrals. We prove generalized fractional Euler–Lagrange equations. We also study an isoperimetric problem with multiple constraints, and we find the optimality conditions. Some examples are provided to illustrate the applications of the results. 2000 Mathematics Subject Classification. 49K10, 26A33, 26B20.
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ISSN:0860-0120
2084-3828
DOI:10.4467/20843828AM.19.003.12111