Ghulam Farid

Bio: Ghulam Farid is an academic researcher from COMSATS Institute of Information Technology. The author has contributed to research in topics: Convex function & Fractional calculus. The author has an hindex of 21, co-authored 168 publications receiving 1679 citations. Previous affiliations of Ghulam Farid include Harbin Engineering University & University of Lahore.

Role of mineral nutrition in minimizing cadmium accumulation by plants

Abstract: Cadmium (Cd) is a highly toxic heavy metal for both plants and animals. The presence of Cd in agricultural soils is of great concern regarding its entry into the food chain. Cadmium enters into the soil-plant environment mainly through anthropogenic activities. Compounds of Cd are more soluble than other heavy metals, so it is more available and readily taken up by plants and accumulates in different edible plant parts through which it enters the food chain. A number of approaches are being used to minimize the entry of Cd into the food chain. Proper plant nutrition is one of the good strategies to alleviate the damaging effects of Cd on plants and to avoid its entry into the food chain. Plant nutrients play a very important role in developing plant tolerance to Cd toxicity and thus, low Cd accumulation in different plant parts. In this report, the role of some macronutrients (nitrogen, phosphorus, sulfur and calcium), micronutrients (zinc, iron and manganese), and silicon (a beneficial nutrient) has been discussed in detail as to how these nutrients play their role in decreasing Cd uptake and accumulation in crop plants.

A further extension of Mittag-Leffler function

Abstract: Abstract In this paper an extended generalized Mittag-Leffler function Eρ,σ,τδ,r,q,c(z;p) $\begin{array}{} \displaystyle E_{\rho,\sigma,\tau}^{\delta,r,q,c}(z;p) \end{array}$ and the corresponding fractional integral operator εa+,ρ,σ,τw,δ,q,r,cf $\begin{array}{} \displaystyle \varepsilon_{a^{+},\rho,\sigma,\tau}^{w,\delta,q,r,c}f \end{array}$ are defined and used to obtain generalizations of Opial-type inequalities due to Mitrinović and Pečarić. Also, some interesting properties of this function and its integral operator are discussed. Several known results are deduced.

Bounds of Riemann-Liouville Fractional Integrals in General Form via Convex Functions and Their Applications

Abstract: In this article, we establish bounds of sum of the left and right sided Riemann Liouville (RL) fractional integrals and related inequalities in general form. A new and novel approach is followed to obtain these results for general Riemann Liouville (RL) fractional integrals. Monotonicity and convexity of functions are used with some usual and straight forward inequalities. The presented results are also have connection with some known and already published results. Applications and motivations of presented results are briefly discussed.

Cybernetics, or Control and Communication in the Animal and the Machine

Abstract: (1963). Cybernetics, or Control and Communication in the Animal and the Machine. Technometrics: Vol. 5, No. 1, pp. 128-130.

Heavy Metal Tolerance in Plants: Role of Transcriptomics, Proteomics, Metabolomics, and Ionomics.

Abstract: Heavy metal contamination of soil and water causing toxicity/stress has become one important constraint to crop productivity and quality. This situation has further worsened by the increasing population growth and inherent food demand. It have been reported in several studies that counterbalancing toxicity, due to heavy metal requires complex mechanisms at molecular, biochemical, physiological, cellular, tissue and whole plant level, which might manifest in terms of improved crop productivity. Recent advances in various disciplines of biological sciences such as metabolomics, transcriptomics, proteomics etc. have assisted in the characterization of metabolites, transcription factors, stress-inducible proteins involved in heavy metal tolerance, which in turn can be utilized for generating heavy metal tolerant crops. This review summarizes various tolerance strategies of plants under heavy metal toxicity, covering the role of metabolites (metabolomics), trace elements (ionomics), transcription factors (transcriptomics), various stress-inducible proteins (proteomics) as well as the role of plant hormones. We also provide a glance at strategies adopted by metal accumulating plants also known as “metallophytes”.

The Laplace Transform

Abstract: THE theory of Fourier integrals arises out of the elegant pair of reciprocal formulae The Laplace Transform By David Vernon Widder. (Princeton Mathematical Series.) Pp. x + 406. (Princeton: Princeton University Press; London: Oxford University Press, 1941.) 36s. net.