Add to ORKGAbstract. We study the fractional differential equation (∗) Dαu(t)+BDβu(t)+Au(t) = f(t), 0 ≤ t ≤ 2pi (0 < β < α) in periodic Lebesgue spaces Lp(0, 2pi;X) where X is a Banach space. Using functional calculus and operator valued Fourier multiplier theorems, we characterize, in UMD spaces, the well posedness of (∗) in terms of R- boundedness of the sets {(ik)α((ik)α + (ik)βB + A)−1}k∈Z and {(ik)βB((ik)α+(ik)βB+A)−1}k∈Z. Applications to the fractional Cauchy problems with periodic boundary condition, which includes the time diffusion and fractional wave equations, as well as a abstract version of the Basset-Boussinesq-Oseen equation, are treated. 1
summary:The aim of this work is to study the existence and uniqueness of solutions of the fractional...
We study the existence of solutions for a class of fractional differential equations. Due to the sin...
Abstract This paper discusses the existence and uniqueness of positive solutions for a periodic boun...
Abstract. We study the fractional differential equation Dαu(t) +BDβu(t) + Au(t) = f(t), 0 ≤ t ≤ 2pi ...
We establish sufficient conditions for the existence and uniqueness of (N,λ)-periodic solutions for ...
We study the solvability of the fractional order inhomogeneous Cauchy problem $$ \mathbb{D}_t^\a...
We characterize the existence of periodic solutions for some abstract neutral functional fractional ...
Artículo de publicación ISIIn this paper, we give a necessary and sufficient conditions for the exis...
Artículo de publicación ISIIn this paper, we give a necessary and sufficient conditions for the exis...
The aim of this Bachelor's Thesis is the study of periodic solutions to nonlinear equations involvin...
In this paper, we are presenting a new method based on operator-valued Fourier multipliers to \- cha...
to be published in Journal of Fractional Calculus and ApplicationsIn this paper, we establish a new...
summary:The aim of this work is to study the existence and uniqueness of solutions of the fractional...
Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third...
summary:The aim of this work is to study the existence and uniqueness of solutions of the fractional...
summary:The aim of this work is to study the existence and uniqueness of solutions of the fractional...
We study the existence of solutions for a class of fractional differential equations. Due to the sin...
Abstract This paper discusses the existence and uniqueness of positive solutions for a periodic boun...
Abstract. We study the fractional differential equation Dαu(t) +BDβu(t) + Au(t) = f(t), 0 ≤ t ≤ 2pi ...
We establish sufficient conditions for the existence and uniqueness of (N,λ)-periodic solutions for ...
We study the solvability of the fractional order inhomogeneous Cauchy problem $$ \mathbb{D}_t^\a...
We characterize the existence of periodic solutions for some abstract neutral functional fractional ...
Artículo de publicación ISIIn this paper, we give a necessary and sufficient conditions for the exis...
Artículo de publicación ISIIn this paper, we give a necessary and sufficient conditions for the exis...
The aim of this Bachelor's Thesis is the study of periodic solutions to nonlinear equations involvin...
In this paper, we are presenting a new method based on operator-valued Fourier multipliers to \- cha...
to be published in Journal of Fractional Calculus and ApplicationsIn this paper, we establish a new...
summary:The aim of this work is to study the existence and uniqueness of solutions of the fractional...
Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third...
summary:The aim of this work is to study the existence and uniqueness of solutions of the fractional...
summary:The aim of this work is to study the existence and uniqueness of solutions of the fractional...
We study the existence of solutions for a class of fractional differential equations. Due to the sin...
Abstract This paper discusses the existence and uniqueness of positive solutions for a periodic boun...