Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel
From MaRDI portal
Publication:2201435
DOI10.1016/J.CHAOS.2018.11.017zbMath1442.49026OpenAlexW2900734266WikidataQ128927175 ScholiaQ128927175MaRDI QIDQ2201435
E. H. El Kinani, Youness Chatibi, Abdelaziz Ouhadan
Publication date: 29 September 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2018.11.017
Optimality conditions for problems involving partial differential equations (49K20) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
Related Items (6)
High-order sliding mode-based synchronisation of fractional-order chaotic systems subject to output delay and unknown disturbance ⋮ Fractional variational problems on conformable calculus ⋮ Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives ⋮ New stability criterion for fractional-order quaternion-valued neural networks involving discrete and leakage delays ⋮ Solving fractional advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative ⋮ Soliton solutions of deformed nonlinear Schrödinger equations using ansatz method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recent history of fractional calculus
- Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel
- Fractional Herglotz variational problems with Atangana-Baleanu fractional derivatives
- Generalized Euler-Lagrange equations for fuzzy fractional variational problems under gH-Atangana-Baleanu differentiability
- Formulation of Euler-Lagrange equations for fractional variational problems
- Isoperimetric problems of the calculus of variations with fractional derivatives
- Fractional derivatives with no-index law property: application to chaos and statistics
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- Advanced methods in the fractional calculus of variations
- Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: Basic theory and applications
- APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗
- Computational Methods in the Fractional Calculus of Variations
- Speeding up chaos and limit cycles in evolutionary language and learning processes
This page was built for publication: Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel