نباتات قرآن وحدیث جدید سائنس کی روشنی میں

The present study work is about importance of plants in the light of Quran, A hadith and modern science Plants are an important means of survival. Without them, life is not only difficult but impossible. The very first tree was mention by Allah when the Hazrat Aadam Eli Hisslam was in the heaven a number of plant was mention by Quran o Hadith and other botanical books. Plants are main source of nutrition for human being, animals and curative plants are beauty of our planet. Their medicinal values are mention by Quran and Prophat Hazrat Muhammad صلى الله عليه وسلم proved by modern science. Many books and research paper have been written on plants with the passage of time the direction of research has also changed, as in the case of epidemics, likewise Corona has opened a new avenue of research that has resorted to herbal remedies, among other therapies. Such current research work is part of a series that sheds light on various aspects of plants.

Existence Theory and Numerical Solutions of the Fractional Order Mathematical Models

In last few decades, it has been proved that fractional order differential equations and their systems are very important in mathematical modeling various phenomena of biological, chemical and physical sciences. In addition to these, a fractional calculus also contains many applications in various fields of engineering and technology. For this propose , differential equations of fractional order is the point of attention in last few years. This project is related with the study of existence theory and numerical solutions of fractional order differential equations. For this study, we first review some useful definitions, notations and results from fractional calculus. Also for the study of numerical solutions, we use a power full techniques. We start our thesis with the study of existence and uniqueness of positive solutions for simple boundary value problem. Then, we obtain necessary and sufficient conditions for existence of at least three positive solutions for the considered models. To solve coupled systems of nonlinear fractional differential equations, we discussamethodwhichisknownasLaplaceAdomiandecompositionmethod(LADM). LADM is an excellent mathematical tool for solving linear and nonlinear differential equations. This method is a combination of the famous integral transform known as Laplace transform and the Adomain decomposition method. In this method, we handle some class of coupled systems of nonlinear fractional order differential equations. Using the proposed method to obtain successfully an exact or approximate solution in the form of convergence series. Thus, we can easily applyLADMto solveawideclassof nonlinearfractionalorderdifferentialequations.The suggested method is applied without any linearization, discretization and unrealistic assumptions. It has been proved that LADM is vary efficient and suitable to solve non-linear problem of physical nature. Some examples are presented to justify the accuracy and performance of the proposed method.