In this paper we investigate the existence of solutions for functional partial perturbed hyperbolic differential equations with fractional order. These results are based upon a fixed point theorem for the sum of contraction and compact operators.
Inverse problem of fractional calculus of variations for partial differential equations
โ Scribed by Jacky Cresson
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 245 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
โฆ Synopsis
The current paper aims at finding out a Lagrangian structure for some partial differential equations including the Stokes equations, the fractional wave equation, the diffusion or fractional diffusion equations, using the fractional embedding theory of continuous Lagrangian systems.
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