Distributional framework for solving fractional differential equations

DOI10.1080/10652460802568069zbMath1170.26003arXiv0902.0496OpenAlexW1973110804MaRDI QIDQ3619805

Stevan Pilipović, Ljubica Oparnica, Teodor M. Atanacković

Publication date: 9 April 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0496

zbMATH Keywords

Laplace transformtempered distributiondistributed order fractional differential equations

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fractional derivatives and integrals (26A33)

Related Items

Convolutional approach to fractional calculus for distributions of several variables, Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod, Distributed-order fractional constitutive stress-strain relation in wave propagation modeling, Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod, Semilinear ordinary differential equation coupled with distributed order fractional differential equation, Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods, Hamilton’s principle with variable order fractional derivatives, Cauchy problems for some classes of linear fractional differential equations, Distributed-order time-fractional wave equations, Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations

Cites Work

• On a nonlinear distributed order fractional differential equation
• Some aspects of fractional diffusion equations of single and distributed order
• Semilinear ordinary differential equation coupled with distributed order fractional differential equation
• A modified Zener model of a viscoelastic body
• A generalized model for the uniaxial isothermal deformation of a viscoelastic body
• On a class of equations arising in linear viscoelasticity theory
• Unnamed Item