Add to ORKGAbstract. A fractional differential operator of order α ∈ R+ is introduced and some of its properties are studied. This operator is a generalization of the operators of Riesz-Feller, of Riemann-Liouville, of the fractional power of the Laplacian and of a class of the Jacob pseudodifferential operators. Mathematics Subject Classification: 26A33, 35S05, 60G5
We discuss existence, uniqueness and structural stability of solutions of nonlinear differential equ...
In this paper, we present a Leibniz type rule for the ψ-Hilfer (ψ-H)fractional derivative operator i...
This survey is concerned with the spectral theory of Volterra operators An = ⊕nj bjJαj, αj > 0, w...
In recent years, various families of fractional-order integral and derivative operators, such as tho...
In this paper, we present a new differential operator of arbitrary order defined by means of a Caput...
Recently, the study of the fractional formal (operators, polynomials and classes of special function...
AbstractIn many recent works, one can find remarkable demonstrations of the usefulness of certain fr...
The results contained in this paper are the result of a study regarding fractional calculus combined...
In this paper we define derivatives of fractional order on spaces of homogeneous type by generalizin...
In this work, we consider a definition for the concept of fractional differential subordination in s...
Abstract. In this work, we consider a definition for the concept of fractional differential subordin...
In the present paper, a new operator denoted by Dz−λLαn is defined by using the fractional integral ...
AbstractIn this paper, by using the technique of upper and lower solutions together with the theory ...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
During the past four decades or so, various operators of fractional calculus, such as those named af...
We discuss existence, uniqueness and structural stability of solutions of nonlinear differential equ...
In this paper, we present a Leibniz type rule for the ψ-Hilfer (ψ-H)fractional derivative operator i...
This survey is concerned with the spectral theory of Volterra operators An = ⊕nj bjJαj, αj > 0, w...
In recent years, various families of fractional-order integral and derivative operators, such as tho...
In this paper, we present a new differential operator of arbitrary order defined by means of a Caput...
Recently, the study of the fractional formal (operators, polynomials and classes of special function...
AbstractIn many recent works, one can find remarkable demonstrations of the usefulness of certain fr...
The results contained in this paper are the result of a study regarding fractional calculus combined...
In this paper we define derivatives of fractional order on spaces of homogeneous type by generalizin...
In this work, we consider a definition for the concept of fractional differential subordination in s...
Abstract. In this work, we consider a definition for the concept of fractional differential subordin...
In the present paper, a new operator denoted by Dz−λLαn is defined by using the fractional integral ...
AbstractIn this paper, by using the technique of upper and lower solutions together with the theory ...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
During the past four decades or so, various operators of fractional calculus, such as those named af...
We discuss existence, uniqueness and structural stability of solutions of nonlinear differential equ...
In this paper, we present a Leibniz type rule for the ψ-Hilfer (ψ-H)fractional derivative operator i...
This survey is concerned with the spectral theory of Volterra operators An = ⊕nj bjJαj, αj > 0, w...