Space-time fractional Cauchy problem in spaces of generalized functions
From MaRDI portal
Publication:352132
DOI10.1007/s11253-013-0711-zzbMath1302.35407OpenAlexW2046003009MaRDI QIDQ352132
A. O. Lopushanskyj, G. P. Lopushanskaya
Publication date: 4 July 2013
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-013-0711-z
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (6)
Регулярність розв'язків крайових задач для дифузійно-хвильового рівняння з узагальненими функціями в правих частинах ⋮ Обернені крайові задачі для дифузійно-хвильового рівняння з узагальненими функціями в правих частинах ⋮ Time-fractional diffusion equation with dynamical boundary condition ⋮ Inverse Cauchy problem for fractional telegraph equations with distributions ⋮ Restoration of the Initial Data in the Problem for a Diffusion Equation with Fractional Derivative with Respect to Time ⋮ The Cauchy problem for an equation with fractional derivatives in Bessel potential spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative
- Automorphic systems of scalar fields
- Similarity solutions for a class of hyperbolic integrodifferential equations
- Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
- Existence conditions for a classical solution of the Cauchy problem for the diffusion-wave equation with a partial Caputo derivative
- Time- and space-fractional partial differential equations
- On a theorem of Whipple
- Spectral analysis of fractional kinetic equations with random data.
This page was built for publication: Space-time fractional Cauchy problem in spaces of generalized functions
