This survey is aimed at the audience of readers interested in the information on mapping properties of various forms of fractional integration operators, including multidimensional ones, in a large scale of various known function spaces.As is well known, the fractional integrals defined in this or other forms improve in some sense the properties of the functions, at least locally, while fractional derivatives to the contrary worsen them. With the development of functional analysis this simple fact led to a number of important results on the mapping properties of fractional integrals in various function spaces.In the one-dimensional case we consider both Riemann-Liouville and Liouville forms of fractional integrals and derivatives. In the mu...
We present a partial panoramic view of possible contexts and applications of the fractional calculus...
Abstract: In this paper, we solve two type of fractional integrals based on Jumarie’s modified Riema...
Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus and...
This survey is aimed at the audience of readers interested in the information on mapping properties ...
AbstractIn this paper we study the classical fractional integrals of Riemann-Liouville and Weyl cons...
The study of fractional integrals and fractional derivatives has a long history, and they have many ...
In this master’s thesis we analyse the class of fractionally differentiable functions. This work is...
ABSTRACT.The fractional integrals I+(x)0 of variable order e(x) are considered. A theorem on mapping...
Copyright © 2013 Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira. This is an open access ...
2000 Mathematics Subject Classification: 26A33, 33C60, 44A20In this survey we present a brief histor...
Mathematics Subject Classification: 26A16, 26A33, 46E15.There are known various statements on weight...
The fractional integrals Ia+α(x)φ of variable order α(x) are considered. A theorem on mapping proper...
We make a unifying approach to the study of mapping properties of fractional integrals and Riesz tra...
This survey intends to report some of the major documents and events in the area of fractional calcu...
Abstract: In this paper, the fractional integration problem of fractional rational functions is stud...
We present a partial panoramic view of possible contexts and applications of the fractional calculus...
Abstract: In this paper, we solve two type of fractional integrals based on Jumarie’s modified Riema...
Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus and...
This survey is aimed at the audience of readers interested in the information on mapping properties ...
AbstractIn this paper we study the classical fractional integrals of Riemann-Liouville and Weyl cons...
The study of fractional integrals and fractional derivatives has a long history, and they have many ...
In this master’s thesis we analyse the class of fractionally differentiable functions. This work is...
ABSTRACT.The fractional integrals I+(x)0 of variable order e(x) are considered. A theorem on mapping...
Copyright © 2013 Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira. This is an open access ...
2000 Mathematics Subject Classification: 26A33, 33C60, 44A20In this survey we present a brief histor...
Mathematics Subject Classification: 26A16, 26A33, 46E15.There are known various statements on weight...
The fractional integrals Ia+α(x)φ of variable order α(x) are considered. A theorem on mapping proper...
We make a unifying approach to the study of mapping properties of fractional integrals and Riesz tra...
This survey intends to report some of the major documents and events in the area of fractional calcu...
Abstract: In this paper, the fractional integration problem of fractional rational functions is stud...
We present a partial panoramic view of possible contexts and applications of the fractional calculus...
Abstract: In this paper, we solve two type of fractional integrals based on Jumarie’s modified Riema...
Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus and...