The fractional integrals Ia+α(x)φ of variable order α(x) are considered. A theorem on mapping properties of Ia+α(x)φ in Holder-type spaces Hλ(x) is proved, this being a generalization of the well known Hardy-Littlewood theorem
In this paper we define derivatives of fractional order on spaces of homogeneous type by generalizin...
We prove that if the exponent function $p((.))$ satisfies log-Holder continuity conditions locally a...
We show that the fractional operator I-alpha(center dot), of variable order on a bounded open set in...
ABSTRACT.The fractional integrals I+(x)0 of variable order e(x) are considered. A theorem on mapping...
The obtained results extend the well-known theorem of Hardy-Littlewood for one-dimensional fractiona...
We study mixed Riemann-Liouville fractional integration operators and mixed fractional derivative in...
We consider non-standard Hölder spaces Hλ(·)(X) of functions f on a metric measure space (X, d, µ),...
We consider non-standard H\"older spaces $H^{\lb(\cdot)}(X)$ of functions $f$ on a metric measure sp...
In this paper, using fractional integration, we present new fractional integral inequalities related...
This survey is aimed at the audience of readers interested in the information on mapping properties ...
We study mixed fractional derivative of functions of two variables in weighted Hölder spaces of diff...
AbstractIn the present article, a set of new difference sequence spaces of fractional order has been...
The generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space (Fo...
In the present article, a set of new difference sequence spaces of fractional order has been introdu...
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...
We prove that if the exponent function $p((.))$ satisfies log-Holder continuity conditions locally a...
We show that the fractional operator I-alpha(center dot), of variable order on a bounded open set in...
ABSTRACT.The fractional integrals I+(x)0 of variable order e(x) are considered. A theorem on mapping...
The obtained results extend the well-known theorem of Hardy-Littlewood for one-dimensional fractiona...
We study mixed Riemann-Liouville fractional integration operators and mixed fractional derivative in...
We consider non-standard Hölder spaces Hλ(·)(X) of functions f on a metric measure space (X, d, µ),...
We consider non-standard H\"older spaces $H^{\lb(\cdot)}(X)$ of functions $f$ on a metric measure sp...
In this paper, using fractional integration, we present new fractional integral inequalities related...
This survey is aimed at the audience of readers interested in the information on mapping properties ...
We study mixed fractional derivative of functions of two variables in weighted Hölder spaces of diff...
AbstractIn the present article, a set of new difference sequence spaces of fractional order has been...
The generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space (Fo...
In the present article, a set of new difference sequence spaces of fractional order has been introdu...
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...
We prove that if the exponent function $p((.))$ satisfies log-Holder continuity conditions locally a...
We show that the fractional operator I-alpha(center dot), of variable order on a bounded open set in...
DOI
Add to ORKG