Article
Open Access
A Fourier generalized convolution transform and applications to integral equations
-
Nguyen Thao
,
Vu Tuan
Published/Copyright:
June 30, 2012
Published Online: 2012-6-30
Published in Print: 2012-9-1
© 2012 Diogenes Co., Sofia
Articles in the same Issue
- FCAA related meetings, books, in memoriam (FCAA — volume 15 — No 3)
- State space solution of implicit fractional continuous time systems
- Fractional differential inclusions with fractional separated boundary conditions
- Spectral approximations to the fractional integral and derivative
- Towards a combined fractional mechanics and quantization
- A fractional imbedding theorem
- Velocity and displacement correlation functions for fractional generalized Langevin equations
- Anti-periodic fractional boundary value problems with nonlinear term depending on lower order derivative
- Product rule for vector fractional derivatives
- The fBm-driven Ornstein-Uhlenbeck process: Probability density function and anomalous diffusion
- A Fourier generalized convolution transform and applications to integral equations
- Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions
Keywords for this article
convolution;
Hölder inequality;
Hausdorff-Young inequality;
Fourier transform;
Fourier sine transform;
Fourier cosine transform;
integral equation;
Watson theorem
Creative Commons
BY-NC-ND 3.0
Articles in the same Issue
- FCAA related meetings, books, in memoriam (FCAA — volume 15 — No 3)
- State space solution of implicit fractional continuous time systems
- Fractional differential inclusions with fractional separated boundary conditions
- Spectral approximations to the fractional integral and derivative
- Towards a combined fractional mechanics and quantization
- A fractional imbedding theorem
- Velocity and displacement correlation functions for fractional generalized Langevin equations
- Anti-periodic fractional boundary value problems with nonlinear term depending on lower order derivative
- Product rule for vector fractional derivatives
- The fBm-driven Ornstein-Uhlenbeck process: Probability density function and anomalous diffusion
- A Fourier generalized convolution transform and applications to integral equations
- Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions
