Add to ORKGThe fundamental solutions for linear fractional evolution equations are obtained. The coefficients of these equations are a family of linear closed operators in the Banach space. Also, the continuous dependence of solutions on the initial conditions is studied. Amixed problem of general parabolic partial differential equations with fractional order is given as an application. 1
In this paper, we consider a rather general linear evolution equation of fractional type, namely, a ...
The convexity and compactness in the weak operator topology of the image and pre-image of a generali...
In this article, we prove the existence of optimal mild solutions for linear fractional evolution e...
This paper discusses the existence of positive solutions for the initial value problem of fractional...
AbstractIn this paper the solutions of some evolution equations with fractional orders in a Banach s...
In recent years increasing interests and considerable researches have been given to the fractional d...
In this paper, we study the approximate solutions, uniqueness and other properties of solutions of f...
This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild...
By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence...
We give necessary and suflicient conditions for an unbounded closed operator A in a Banach space X s...
AbstractThe Cauchy problem of the homogeneous fractional-order evolution equation and evolutionary i...
Solvability theorem for the Cauchy problem to a degenerate linear evolution equation of fractional o...
Abstract In this paper, we get a new form equivalent integral equation for a class of evolution equa...
Abstract We prove the existence and uniqueness of classical and strong solutions of a fractional sem...
The book is an introduction to abstract semi-linear evolution equations of parabolic type, with spec...
In this paper, we consider a rather general linear evolution equation of fractional type, namely, a ...
The convexity and compactness in the weak operator topology of the image and pre-image of a generali...
In this article, we prove the existence of optimal mild solutions for linear fractional evolution e...
This paper discusses the existence of positive solutions for the initial value problem of fractional...
AbstractIn this paper the solutions of some evolution equations with fractional orders in a Banach s...
In recent years increasing interests and considerable researches have been given to the fractional d...
In this paper, we study the approximate solutions, uniqueness and other properties of solutions of f...
This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild...
By using the fixed point theorems and the theory of analytic semigroup, we investigate the existence...
We give necessary and suflicient conditions for an unbounded closed operator A in a Banach space X s...
AbstractThe Cauchy problem of the homogeneous fractional-order evolution equation and evolutionary i...
Solvability theorem for the Cauchy problem to a degenerate linear evolution equation of fractional o...
Abstract In this paper, we get a new form equivalent integral equation for a class of evolution equa...
Abstract We prove the existence and uniqueness of classical and strong solutions of a fractional sem...
The book is an introduction to abstract semi-linear evolution equations of parabolic type, with spec...
In this paper, we consider a rather general linear evolution equation of fractional type, namely, a ...
The convexity and compactness in the weak operator topology of the image and pre-image of a generali...
In this article, we prove the existence of optimal mild solutions for linear fractional evolution e...