Fractional Sobolev type spaces associated with a singular differential operator and applications

DOI10.2478/s13540-014-0177-1zbMath1315.46035OpenAlexW2090203161MaRDI QIDQ2939437

Mourad Jelassi, Hatem Mejjaoli

Publication date: 22 January 2015

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

Full work available at URL: https://doi.org/10.2478/s13540-014-0177-1

zbMATH Keywords

Sobolev spaceswave equationgeneralized fractional operatorFourier transform associated with \(\Delta_ A\)second-order differential operator \(\Delta_A\)

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Wave equation (35L05) Ordinary differential operators (34L99)

Related Items (1)

Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inversion of the Lions transmutation operators using generalized wavelets
• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Harmonic analysis of probability measures on hypergroups
• Fourier Multipliers For Local Hardy Spaces On Chébli-Trimèche Hypergroups
• Sobolev type spaces associated with jacobi differential operators
• Théoreme de Paley-Wiener associe à un opérateur différentiel singulier sur \((0,+\infty)\)

This page was built for publication: Fractional Sobolev type spaces associated with a singular differential operator and applications