Add to ORKGThe abstract Cauchy problem for the fractional evolution equation Daa = Au, a > 0, (1) where A is a closed densely de??ned operator in a Banach space, is investigated. The subordination principle, presented earlier in [J. P r ??u s s, Evolutionary In- tegral Equations and Applications. Birkh??auser, Basel - Boston - Berlin (1993)] for general Volterra integral equations, is studied in detail for (1). Besides some additional properties of the subordinated solution operator, we discuss also some new aspects of this principle, such as invertibility, the inverse formula and the Feller semigroup of subordination operators
Abstract. In this work, we consider a definition for the concept of fractional differential subordin...
AbstractIn this article, we establish the existence and uniqueness of univalent solution for fractio...
We consider generalized time-fractional evolution equations of the form $$u(t)=u_0+\int_0^tk(t,s)Lu(...
The abstract Cauchy problem for the fractional evolution equation Daa = Au, a > 0, (1) where A is a ...
The fractional order differential equation \(u'(t)=Au(t)+\gamma D_t^{\alpha} Au(t)+f(t), \ t>0\),...
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We give necessary and suflicient conditions for an unbounded closed operator A in a Banach space X s...
We investigate the abstract evolution equation of fractional order Dau = au, a > 0, where Da is the ...
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In recent years increasing interests and considerable researches have been given to the fractional d...
This paper discusses the existence of positive solutions for the initial value problem of fractional...
AbstractThe Cauchy problem of the homogeneous fractional-order evolution equation and evolutionary i...
Abstract: Problem statement: The problem of giving sufficient condition for certain class of meromor...
The fundamental solutions for linear fractional evolution equations are obtained. The coefficients o...
We obtain a vector-valued subordination principle for gα,gβ-regularized resolvent families which uni...
Abstract. In this work, we consider a definition for the concept of fractional differential subordin...
AbstractIn this article, we establish the existence and uniqueness of univalent solution for fractio...
We consider generalized time-fractional evolution equations of the form $$u(t)=u_0+\int_0^tk(t,s)Lu(...
The abstract Cauchy problem for the fractional evolution equation Daa = Au, a > 0, (1) where A is a ...
The fractional order differential equation \(u'(t)=Au(t)+\gamma D_t^{\alpha} Au(t)+f(t), \ t>0\),...
Abstract. Many phenomena in mathematical physics and in the theory of stochastic processes are recen...
We give necessary and suflicient conditions for an unbounded closed operator A in a Banach space X s...
We investigate the abstract evolution equation of fractional order Dau = au, a > 0, where Da is the ...
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...
This paper discusses the existence of positive solutions for the initial value problem of fractional...
AbstractThe Cauchy problem of the homogeneous fractional-order evolution equation and evolutionary i...
Abstract: Problem statement: The problem of giving sufficient condition for certain class of meromor...
The fundamental solutions for linear fractional evolution equations are obtained. The coefficients o...
We obtain a vector-valued subordination principle for gα,gβ-regularized resolvent families which uni...
Abstract. In this work, we consider a definition for the concept of fractional differential subordin...
AbstractIn this article, we establish the existence and uniqueness of univalent solution for fractio...
We consider generalized time-fractional evolution equations of the form $$u(t)=u_0+\int_0^tk(t,s)Lu(...