Search results for “Riemann-liouville fractional integral and derivative operators”

Published Subscription 29 Jun 2015

On the Fractional Calculus Operators and DefiniteResults Including N2-Function

By Mohd. Farman Ali, Manoj Sharma, Renu Jain

Abstract: In this present paper, fractional Riemann-Liouville calculus operators of a new special function called N2-function is introduced given by author has been obtained. This function is a modified form of Mittag-Leffler function [1]. The author drives the results between N2-function and fractional operators. Cite this Article:Mohd. Farman Ali, Manoj Sharma, Renu Jain. On the Fractional Calculus Operators and Definite Results Including N2-Function. Research & Reviews: Discrete Mathematical Structures. 2015; 2(2): …

Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 2, 2015 · pp. 5–9 Read article

Published Subscription 22 Jan 2018

INTEGRAL REPRESENTATION OF K-FUNCTION

By Manoj Sharma, Laxmi Morya, Rajshree Mishra

Abstract: Abstract: In this article, an attempt to be made to introduce the four-different integral representation of Extended K-function and special cases have also been discussed [1, 2]. The Extended K Function which is introduced by the authors first time in this work is extended version of earlier K-Function of Sharma [3]. We will use Riemann-Liouville fractional calculus operator in finding the integral representation of this extended K- Function. Fractional Calculus …

Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 81–88 Read article

Published Subscription 12 May 2017

Fractional Integral and Dirichlet Average of the R-Series

By Mohd. Farman Ali

Abstract: AbstractThe aim of the present paper is to investigate the results of Dirichlet average of a new special R-Series, using Riemann-Liouville Fractional derivative. The R-Series can be measured as a Dirichlet average and connected with fractional calculus. Keywords: Dirichlet average, R-series, fractional derivative, Fractional calculus operatorsCite this ArticleMohd. Farman Ali. Fractional Integral and Dirichlet Average of the R-Series. Research & Reviews: Discrete Mathematical Structures. 2017; 4(1): 1–4p.

Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 1, 2017 · pp. 1–4 Read article

Published Subscription 18 Jul 2017

R-L-F Integral and Double Dirichlet Average of the R-Series

By Mohd. Farman Ali

Abstract: AbstractThe object of the present paper is to establish a result of double Dirichlet average of the R-series by using Riemann-Liouville fractional integral. The R-series can be measured as a Dirichlet average and connected with fractional calculus. In this paper, the solution comes in compact form of double Dirichlet average of R-series. The special cases of our results are same as earlier obtained by Saxena et al, for double Dirichlet …

Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 1–6 Read article

Published Subscription 11 Oct 2017

Computable Extension of New Advanced Fractional Kinetic Equation

By Manoj Sharma, Laxmi Morya, Rajshree Mishra

Abstract: AbstractFirst, we obtain computable extensions of advanced fractional kinetic equation. The aim of this survey is to explore the behavior of physical and biological systems from the point of view of fractional calculus. Fractional calculus, integration and differentiation of an arbitrary or fractional order, provide new tools that expand the descriptive power of calculus beyond the familiar integer-order concepts of rates of change and area under a curve. Fractional calculus …

Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 26–32 Read article