Research & Reviews: Discrete Mathematical Structures
Volume 3, Issue 3 (2016)
Published
Table of contents
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Fractional Calculus of the R-Series
Abstract: The present paper creates a special function called as R-series. This is a special case of H-function given by Inayat Hussain. The Hypergeometric function, Mainardi function and M-series follow R-series and these functions have recently found essential applications in solving problems in physics, biology, bio-science, engineering and applied science etc. Cite this ArticleMohd. Farman Ali, Manoj Sharma. Fractional calculus of the R-Series. Research & Reviews: Discrete Mathematical Structures. 2016; 3(3): …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 3, 2016 · pp. 1–5 Read article
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Dirichlet Average of New Generalized M-series and Fractional Calculus
Abstract: AbstractWe know that every analytic function can be measured as a Dirichlet average and connected with fractional calculus. In this note, we set up a relation between Dirichlet average of new generalized M-series, and fractional derivative. Fractional derivative is a derivative of arbitrary order i.e. may be real, complex, integer or fractional order.Keywords: Dirichlet average new generalized M-series, fractional derivative, fractional calculus operatorsCite this ArticleManoj Sharma. Dirichlet Average of New …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 3, 2016 · pp. 13–16 Read article
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A Brief Review on Algorithms for Finding Shortest Path of Knapsack Problem
Abstract: AbstractThe gathering knapsack and knapsack problems are summed up to briefest way issue in a class of graphs. An effective calculation is used for finding briefest ways that bend lengths are non-negative. A more effective calculation is portrayed for the non-cyclic which incorporates the knapsack issue. Keywords: knapsack problem, rucksack problemCite this ArticleSwadha Mishra. A Brief Review on Algorithms for Finding Shortest Path of Knapsack Problem. Research & Reviews: Discrete …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 3, 2016 · pp. 17–19 Read article
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Research and Industrial Insight: Discrete Mathematics
Abstract: Mazes are in vogue right now, from NBO's West world, to the arrival of the British faction TV arrangement, The Crystal Maze. Be that as it may, labyrinths have been around for centuries and a standout amongst the most acclaimed labyrinths, the Labyrinth home of the Minotaur, assumes a featuring part in Greek mythology.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 3, 2016 · pp. 20–26 Read article
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R-L F Integral and Triple Dirichlet Average of the R-Series
Abstract: AbstractIn this article, we establish the relation between some results of triple Dirichlet average of the R-series and fractional operators. We use a new special function called as R-series, which is a special case of H-function given by Inayat Hussain. In this article, the solution is obtained in compact form of triple Dirichlet average of R-series as well as conversion into single Dirichlet average of R-series, using fractional integral. Keywords: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 3, 2016 · pp. 6–12 Read article