Fractional calculus of variations with a generalized fractional derivative

DOI10.7153/fdc-06-04zbMath1438.49035OpenAlexW2513646348MaRDI QIDQ4626369

Alireza Ansari, Hassan Randjbar Askari

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-06-04

zbMATH Keywords

convex optimizationfractional calculus of variationsHilfer-Prabhakar derivativefractional Hamiltonian equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (6)

Fractional Sturm–Liouville problems for Weber fractional derivatives ⋮ The Prabhakar or three parameter Mittag-Leffler function: theory and application ⋮ Combined fractional variational problems of variable order and some computational aspects ⋮ Finite fractional Sturm-Liouville transforms for generalized fractional derivatives ⋮ Fractional Black-Scholes model with regularized Prabhakar derivative ⋮ Numerical approximation to Prabhakar fractional Sturm-Liouville problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hilfer-Prabhakar derivatives and some applications
• Fractional variational calculus with classical and combined Caputo derivatives
• Generalized variational calculus in terms of multi-parameters fractional derivatives
• Fractional variational problems with the Riesz-Caputo derivative
• Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
• Calculus of variations with fractional derivatives and fractional integrals
• The Hamilton formalism with fractional derivatives
• Fractional Hamiltonian formalism within Caputo's derivative
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• New applications of fractional variational principles
• Formulation of Euler-Lagrange equations for fractional variational problems
• Fractional calculus of variations for a combined Caputo derivative
• Minimal modified energy control for fractional linear control systems with the Caputo derivative
• Analytical schemes for a new class of fractional differential equations
• A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
• Some properties of Prabhakar-type fractional calculus operators
• A fractional calculus of variations for multiple integrals with application to vibrating string
• Fractional variational calculus in terms of Riesz fractional derivatives
• Fractional Calculus With Applications in Mechanics
• Variational problems with fractional derivatives: Euler–Lagrange equations

This page was built for publication: Fractional calculus of variations with a generalized fractional derivative