Fractional Tempered Variational Calculus
ABSTRACT In this paper, we derive sufficient conditions ensuring the existence of a weak solution for a tempered fractional Euler‐Lagrange equations. Furthermore, we study a fractional tempered version of Noether theorem, and we provide a very explicit expression of a constant of motion in terms of symmetry group and Lagrangian for fractional problems of calculus of variations. Finally, we study a mountain pass type solution of the cited problem.
Authors
- Jesús Rodríguez (ORCID: https://orcid.org/0000-0001-7070-4781)
- Gastão S. F. Frederico (ORCID: https://orcid.org/0000-0003-4895-6637)
- César E. Torres Ledesma (ORCID: https://orcid.org/0000-0002-6889-4982)
- Manuel M. Bonilla (ORCID: https://orcid.org/0000-0002-5437-7802)
Institutions
- Universidade Federal do Ceará (BR)
- University of Cape Verde (CV)
- National University of Trujillo (PE)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-07-12
- DOI
- https://doi.org/10.1002/mma.11214
- Citations
- 1
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 1.37
Funders
- Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico