Add to ORKGAbstract: Based on the notion of fractional q–integral with the parametric lower limit of integration, we define fractional q–derivatives of Caputo and Riemann–Liouville type. We study some of their properties as well as the relations between them. Also, the compositions of these operators are considered. Key words and phrases: basic hypergeometric functions, fractional calculus, q–integral, q–derivative, fractional integral, fractional derivative Mathematics Subject Classification: 33D60, 26A33
Abstract We introduce some weighted hypergeometric functions and the suitable generalization of the ...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
In this paper we present a new type of fractional operator, which is a generalization of the Caputo...
In this paper, by using a generalization of beta function we introduced a new extension of Caputo fr...
WOS: 000386871300014In this paper, an extension of Caputo fractional derivative operator is introduc...
This paper investigates the composition structures of certain fractional integral operators whose ke...
In this paper, we establish sixteen interesting generalized fractional integral and derivative formu...
Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we so...
We present exact analytical results for the Caputo fractional derivative of a wide class of element...
The Caputo fractional derivative is one of the most used definitions of a fractional derivative alon...
In a previous article, first and last researchers introduced an extension of the hypergeometric func...
Abstract: This paper studies some fractional integrals based on Jumarie type of Riemann Liouville (R...
A special function is a function that is typically entitled after an early scientist who studied its...
Abstract: Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper studies t...
Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a ...
Abstract We introduce some weighted hypergeometric functions and the suitable generalization of the ...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
In this paper we present a new type of fractional operator, which is a generalization of the Caputo...
In this paper, by using a generalization of beta function we introduced a new extension of Caputo fr...
WOS: 000386871300014In this paper, an extension of Caputo fractional derivative operator is introduc...
This paper investigates the composition structures of certain fractional integral operators whose ke...
In this paper, we establish sixteen interesting generalized fractional integral and derivative formu...
Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we so...
We present exact analytical results for the Caputo fractional derivative of a wide class of element...
The Caputo fractional derivative is one of the most used definitions of a fractional derivative alon...
In a previous article, first and last researchers introduced an extension of the hypergeometric func...
Abstract: This paper studies some fractional integrals based on Jumarie type of Riemann Liouville (R...
A special function is a function that is typically entitled after an early scientist who studied its...
Abstract: Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper studies t...
Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a ...
Abstract We introduce some weighted hypergeometric functions and the suitable generalization of the ...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
In this paper we present a new type of fractional operator, which is a generalization of the Caputo...