F: Mathematics & Decision (359)
GJSFR: F
Linear Canonical Transforms on the Zemanian Spaces
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 8
The objective of this paper is to make the theory of Linear canonical transform mathematically rigorous. Here we define the linear canonical transform on the Zemanian space ô€¤Â, the space of functions of rapid descent, and prove some results. We have also discussed some operation formulae for linear canonical transform on this space. ...
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Authors Dr. A S GudadheRead Journal Click Here
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Page No. 17 to 23
Global Existence of Classical Solutions for a Class Nonlinear Parabolic Equations
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 8
In this work we propose a new approach for investigating the local and global existence of classical solutions of nonlinear parabolic equations This approach gives new results. ...
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Authors Dr. Svetlin Georgiev GeorgievRead Journal Click Here
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Page No. 1 to 11
Generalizations of the Distance and Dependent Function in Extenics to 2D, 3D, and n-D
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 8
Dr. Cai Wen defined in his 1983 paper:- the distance formula between a point x0 and a one-dimensional (1D) interval [a, b];- and the dependence function which gives the degree of dependence of a point with respect to a pair of included 1D - intervals. This paper inspired us to generalize the Extension Set to two-dimensions, i.e. in plane of real numbers R2 where one has a rectangle (inst...
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Authors Dr. Florentin SmarandacheRead Journal Click Here
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Page No. 47 to 60
Invention of a Summation FormulaAccumulated With Hypergeometric Function
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 8
The main aim of this paper is to create a summation formula amassed with Hypergeometric function. ...
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Authors Dr. Salahuddin, M. P. Chaudhary, Vinesh KumarRead Journal Click Here
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Page No. 25 to 34
New representations in terms of q-product identities for Ramanujans results III
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 7
In this paper author has established four q-product identities with the help of Jacobi’s triple product identity using elementary method. These identities are new and not available in the literature of special functions. ...
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Authors Dr. M.P. ChaudharyRead Journal Click Here
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Page No. 71 to 75
A Comparison of Adomian’s Decomposition Method and Picard Iterations Method in Solving Nonlinear Differential Equations
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 7
In this paper,nonlinear differential equations are solved through Adomian decomposition method(ADM) and the results are compared with those of Picard iterations method. It is noted that ADM takes the form of a convergent series with easily computable components. The ADM method is able to solve large class of nonlinear equations effectively, more easily and accurately; and thus the method...
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Authors Dr. Ibijola E.A ,Adegboyegun B.JRead Journal Click Here
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Page No. 37 to 42
Analytical Approach to Partial Differential Equations Arising In Mechanics
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 7
In this article, we implement relatively new analytical approach, Adomian decomposition method (ADM), for solving some selected partial differential equations in mechanics. This method in applied mathematics can be used as alternative method for obtaining exact solution for different types of partial differential equations. The method takes the form of a convergent series with easily com...
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Authors B.J Adegboyegun, P.S Ayenimo, E.A Ibijola.Read Journal Click Here
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Page No. 65 to 70
Mathematical modeling and thin layer drying kinetics of Carrot Slices
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 7
The thin-layer drying characteristics of carrot slices were investigated under four microwave powers; 200, 300, 400 and 500 W and slice thickness of 2.5 mm. Data were analyzed to obtain diffusivity values from the period of falling drying rate. Four mathematical models for describing the thin-layer drying behavior of carrot were investigated. The results show that the Midilli et al. is t...
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Authors Dr. Hosain Darvishi, Ahmad Banakar, Mohammad zareinRead Journal Click Here
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Page No. 57 to 64
Dielectric properties of order-disorder type crystals
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 7
The soft mode dynamical model has been used to study the dielectric properties of order-disorder-type crystals. Using the model Hamiltonian proposed by Blinc [Advances in Phys, 29 (1972) 701] and has been modified by Bist et al [GJSFR,10,18(2010)], the expressions for the dielectric constant and tangent loss have been derived and discussed for order-disorder, KH2PO4 type-crystals with th...
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Authors Dr. V. S. Bist , N. S. PanwarRead Journal Click Here
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Page No. 43 to 56
Mathematics: Usage in, Multidisciplinary Sciences and, Everyday Life. What the world of work tells us.
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 7
The use of mathematics in everyday life often goes unnoticed by the person who exploits mathematics and also by the person who associates with the person who exploits mathematics. This article looks at mathematics as a discipline and it serves to inform people, in general, about the importance of mathematics in the world we live in and how in many ways, human beings have contributed to i...
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Authors Dr. Rishan SinghRead Journal Click Here
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Page No. 77 to 82
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Biostatistics: A Probable Integration of Mathematics In Biological Systems. An Aided Philosophical Account
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 7
The information supplied below is a philosophical account of the importance of statistics in biology. It is aimed at learners, who aspire to further their careers in biology through research. This paper brings recognition to UKZN and the Republic of South Africa. ...
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Authors Dr. Rishan SinghRead Journal Click Here
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Page No. 29 to 335
New representations in terms of q-product identities for Ramanujans results II
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 6
In this paper author has established seven q-product identities, which are not available in the literature of special functions. ...
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Authors Dr. M.P. ChaudharyRead Journal Click Here
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Page No. 57 to 63
Certain Indefinite Integrals Involving Gegenbauer Polynomials
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 7
In this paper we have established certain indefinite integrals involving Gegenbauer polynomials. The results represent here are assume to be new. ...
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Authors Dr. SalahuddinRead Journal Click Here
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Page No. 83 to 86
Deformation Due To Various Sources in Saturated Porous Media with Incompressible Fluid
Published In: GJSFR Part: F: Mathematics & Decision Volume: 12 Issue: 6
The present investigation deals with the deformation of various sources in fluid saturated porous medium with incompressible fluid. The normal mode analysis is used to obtain the components of displacement, stress and pore pressure. The variations of normal stress, tangential stress and pore pressure with the distance x has been shown graphically. A particular case of interest has also b...
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Authors Dr. Rajneesh Kumar, Satinder Kumar, M.G.GourlaRead Journal Click Here
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Page No. 49 to 55
