Back to Search
Start Over
Variational Problems Involving a Caputo-Type Fractional Derivative.
- Source :
-
Journal of Optimization Theory & Applications . Jul2017, Vol. 174 Issue 1, p276-294. 19p. - Publication Year :
- 2017
-
Abstract
- The aim of this paper is to study certain problems of calculus of variations that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo-Hadamard fractional derivatives that are dependent on a real parameter $$\rho $$ . Sufficient and necessary conditions of the first and second order are presented. The cases of integral and holonomic constraints are also considered. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 174
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 124202996
- Full Text :
- https://doi.org/10.1007/s10957-016-0883-4