Research & Reviews: Discrete Mathematical Structures
Volume 1, Issue 3 (2014)
Published
Table of contents
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Dynamic Analysis of a Switched Boost Converter Singular System using Mehtod-Rachid Algorithm
Abstract: Electronics technology is a very dynamically evolving technology as compared to any other domains. The advent of these changes is forcing us to relook at the conventional physics, and mathematical models related to switching systems in particular or singular systems in general. Mostly we always drive system characteristics assuming a singular system to be linear. Singular systems are those the dynamics of which are governed by a mixture of algebraic …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 3, 2014 · pp. 1–4 Read article
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Some I-Convergent Difference Sequence Spaces Defined by a Sequence of Orlicz Functions
Abstract: In this paper, we introduce the di¤erence sequence spaces using a sequence of Orlicz functions. We study some properties of these sequence spaces like completeness, solidness, symmetricity, convergence free and some inclusion relations.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 3, 2014 · pp. 32–38 Read article
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Characterizing the Existence of P4
Abstract: In a graph G = (V, E) P4 denotes a path of length 4 vertices <v1, v2, v3, v4> such that there is no edge between either <v1, v3> or <v2, v4>. This exists either in graph G = (V, E) or its complement or both for which both G and the complement Gc are connected. In this article we give a proof for this property.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 3, 2014 · pp. 39–41 Read article
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Modified Riemann−Liouville Fractional Derivative and Differential Equation for a Class of New Levy-type Probabilities
Abstract: The aim of the present paper to obtained the solution of differential equations involving Modified Riemann-Liouville fractional derivative in addition to it Levy-type one sided probability density function. Some scientist studied a small number of interesting problems regarding diffusing processes in media with fractal geometry, and formulated fractional diffusion.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 3, 2014 · pp. 42–44 Read article
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A Discrete Gamma Lifetime Model and Its Reliability Applications
Abstract: In this paper, we have first developed discrete gamma failure (dGam) lifetime model by discretizing the well-known gamma failure distribution. Thereafter, we have given a description of the distributional properties and reliability characteristics of dGam model. The next section consists of a few theorems on dGam and provides a basis for ML and Bayes estimation procedures are carried out in next sections along with a thorough simulation study depicting the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 3, 2014 · pp. 5–20 Read article