http://digitalarchive.uet.edu.pk/handle/123456789/416 2026-04-20T14:07:58Z http://digitalarchive.uet.edu.pk/handle/123456789/1227 Calculation of temperature distribution for viscous incompressible flow with constant thermal conductivity / Hamna Naheed The investigation of heat and mass transfer is the top consideration for mathematicians. In light of its vital applications in the field of polymer engineering, the consideration of heat transaction procedure from a stretching sheet to the boundary layer fluid has been developed completely. The aim of work is to attain the temperature profile by varying the different parameters having constant thermal conductivity .Generally , 3D flow of a viscous incompressible fluid has been assessed in the existence of AMT phenomenon. The impact of injection and suction has been deliberated in detail. The fundamental system has the equations, i.e. Momentum equation (M.eq) and Energy equation (E.eq) which are transformed into Ordinary Differential equations (ODEs) by means of similarity alteration. The solution of the problem has been achieved by utilizing analytical method i.e. homotopy analysis method (HAM). The precision of this technique is occurred in literature for further problems. The graphs of various parameters present the solution of the problem. 2019-01-01T00:00:00Z http://digitalarchive.uet.edu.pk/handle/123456789/1226 Fractional and dynamical integral inequalities with applications / Sobia Rafeeq Fractional calculus, the study of of integration and differentiation of fractional order, has recently been extended to include its discrete analogues of fractional difference calculus and fractional quantum calculus. Due to this, there was a question whether there exist a single theory pertaining the above theory. Answer to this task was proposed by great scientist Stephen Hilger (1988), P. A. Williams and Bastos (2012), Jiang Zhu et al. (2013). This field is diverse, having a lot of applications in different fields of sciences such as: differential equations, probability theory, Mathematical and Economical models, optimization theory, signal processing, chaotic dynamics, atomic Bose-Einstein condensation, theory of inequalities etc. Inequalities play a significant role in many branches of Sciences as well as to discuss the abstract analysis of the solutions of differential, difference equations and Cauchy type problems. Among others inequalities, Gronwall-Bellman type integral inequalities have a significant part in this direction. We propose −Delta integral, −multi-time scale integral, Itˆo−Isometry, generalized fractional dynamical Gronwall-Bellman type integral inequalities to analyze some qualitative and quantitative properties of solutions of integro-differential equations, cauchy type problems, nonlinear fractional stochastic differential equation and fractional −stochastic differential equation. 2019-01-01T00:00:00Z http://digitalarchive.uet.edu.pk/handle/123456789/1225 Sumudu decomposition method for fuzzy integro differential equations / Zain Iqbal Different results regarding different integro-differential equations, most of the time are not properly generalized, because of not satisfying some of the constraints. The field of fuzzy integrodifferential is very rich now a day because of its different applications and in the use of different physical phenomenon’s. Solutions of FID are more generalized and have better applications. SDM is used for finding the solution of some linear and nonlinear FIDE. This method is easy to apply as well as it will give us more better results than other methods. 2019-01-01T00:00:00Z http://digitalarchive.uet.edu.pk/handle/123456789/1224 An improved algorithm to reduce total harmonic distortions in inverters of grid tied photovoltac system / Sarim, Muhammad 2019-01-01T00:00:00Z