Green's theorem for generalized fractional derivatives

DOI10.2478/s13540-013-0005-zzbMath1312.26018arXiv1205.4851OpenAlexW1993203914WikidataQ57650827 ScholiaQ57650827MaRDI QIDQ2347291

Agnieszka B. Malinowska, Delfim F. M. Torres, Tatiana Odzijewicz

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4851

zbMATH Keywords

fractional calculusgeneralized operatorsGreen's theorem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Fractional partial differential equations (35R11)

Related Items (8)

Fractional oscillator equation -- transformation into integral equation and numerical solution ⋮ Numerical solution of fractional Sturm-Liouville equation in integral form ⋮ Calculus of variations with hyperdifferential operators from Tabasaki-Takebe-Toda lattice arguments ⋮ Generalized fractional isoperimetric problem of several variables ⋮ Generalized vector calculus on convex domain ⋮ An integral relationship for a fractional one-phase Stefan problem ⋮ General non-local electrodynamics: equations and non-local effects ⋮ Generalized fractional operators for nonstandard Lagrangians

Cites Work

• Generalized fractional calculus with applications to the calculus of variations
• Fractional calculus of variations in terms of a generalized fractional integral with applications to physics
• Fractional vector calculus and fractional Maxwell's equations
• Generalized variational problems and Euler-Lagrange equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Inverse acoustic and electromagnetic scattering theory.
• Some generalized fractional calculus operators and their applications in integral equations
• Fractional Calculus of Variations for Double Integrals
• Fractional embedding of differential operators and Lagrangian systems
• Field Computation for Accelerator Magnets
• A fractional calculus of variations for multiple integrals with application to vibrating string
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Green's theorem for generalized fractional derivatives