Fractional variational calculus with the truncated M-series fractional derivative
In this paper, we investigate a variational problem defined by a functional involving the truncated M-series fractional derivative of the dependent variable. The necessary optimality conditions are derived in the form of the Euler-Lagrange equation, and several illustrative examples are presented to highlight the results.
Authors
- Omar Y. Abdelaziz (ORCID: https://orcid.org/0000-0002-3530-3509)
- El Kinani El Hassan
- El Ansari Brahim
Institutions
- Université Sultan Moulay Slimane (MA)
Publication Details
- Journal
- Boletim da Sociedade Paranaense de Matemática
- Published
- 2025-06-24
- DOI
- https://doi.org/10.5269/bspm.75750
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00