Unified Fractional Derivative Formulae for the Generalized Mittag-Leffler Function

  • Dayalal Wollo University
Keywords: Marichev-Saigo-Maeda Fractional derivative operators, Generalized Mittag-Leffler function, Generalized Wright function, Generalized Hypergeometric series

Abstract

Vegetation plays an important role in stabilizing global environment. Reliable information on the status of vegetation using different techniques is necessary in solving environmental problems. Normalized Indifference Vegetation Index (NDVI) is a new technique that helps in quantifying vegetation cover change. Hence the major objective of this paper is to apply NDVI in the assessment of vegetation monitoring using Geographic Information System (GIS) and Remote Sensing (RS) in Bahir Dar Zuria District. In this case the NDVI analysis for vegetation cover change using 1986 and 2003 satellite images was analyzed. NDVI indicators like (NDVI minimum, maximum, mean, and standard deviation) are computed for the year 1986 and 2003. The result of the present study showed that the maximum NDVI values are decreased from 0.9 in 1986 to 0.16 in 2003. The minimum value of the NDVI increased from -0.8 in 1986 to -0.2 in 2003. In addition, the mean and standard deviation values decreased from 0.04 in 1986 to 0.03 in 2003 and from 0.06 in 1986 to 0.05 in 2003 respectively. The result showed that the average vegetation cover was decreased in 2003 when compared to that of 1986. This is due to an increased rate of deforestation which in turn caused by increasing population pressure. As a result, there should be a change in policy to prevent the negative impact of land use and cover change and increase the agricultural productivity per unit area and the vegetation cover through different forest rehabilitation mechanisms (afforestation and reforestation).

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Author Biography

Dayalal , Wollo University

Department of Mathematics, College of Natural Sciences, Wollo University, Dessie, Ethiopia

Published
2016-12-01
How to Cite
Dayalal , S. (2016). Unified Fractional Derivative Formulae for the Generalized Mittag-Leffler Function. Abyssinia Journal of Science and Technology , 1(1), 1-5. Retrieved from http://ejol.ethernet.edu.et/index.php/AJST/article/view/1473