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جہانِ رنگ و بو سب عارضی ہے


جہانِ رنگ و بو سب عارضی ہے
نبیؐ کے عشق کا رنگ دائمی ہے

بیانِ وصفِ یکتائیِ گُل سے
چمن زارِ سخن میں دلکشی ہے

بہ فیضِ مدحِ ممدوحِ اِلٰہیؐ
خدا کی ہم نوائی مل گئی ہے

وہی شمس الضحیٰ ، بدرالدجیٰ ہیں
اُنہی کی چار سُو جلوہ گری ہے

کھلے گا غنچۂ شوقِ تمنّا
مری اُمید کی کونپل ہری ہے

کہیں گے ان شاء اللہ ایک دن ہم
’’مدینے تک رسائی مل گئی ہے‘‘

ملا جس ذات سے عرفانِؔ کامل
مرے ایمان کا حاصل وہی ہے

ماحولیاتی آلودگی اور اس کا سدباب: سیرت نبویﷺکی روشنی میں ایک تحقیقی جائزہ

Today, the whole world is facing the dangerious issues of environmental pollution. There is a lot of piles of garbage, plastic bags and waste are found in common routes and streets, the use of bacterial and antiseptic chemicals, smoking as well as the excessives use of machinery causes the abundance of smoke and due to the noise of vehicles, rugs, motorcycles, factories and airplanes, our daily pollution is increasing daily. As a result, many problems including various types of illness and seasonal variations are becoming a major challenge for today's modern era. In order to deal with it, it is important for us to study and follow the instructions of the Prophet (PBUH). Prophet (PBUH) has taken important measures to protect environmental pollution. He has prescribed some precautionary measures to prevent the spreading of dirt in society and keeping the environment clean to avert the soil pollution. For the purpose of aviation of air pollution, the prophet has ordered to populate it with the livestock andplantation. To cope with water pollution, it was emphasized to keep water clean and cleaness of air from odor and dirt. In this modern era, prevention of environmental pollution without following these instructions is impossible. This article has invesitaged on prevention of enviromental pollution and cleanliness of enviroment in the light of Sīrah.

Application of Fractional Calculus to Engineering: A New Computational Approach

In this dissertation, a new heuristic computational intelligence technique has been developed for the solution for fractional order systems in engineering. These systems are provided with generic ordinary linear and nonlinear differential equations involving integer and non-integer order derivatives. The design scheme consists of two parts, firstly, the strength of feed-forward artificial neural network (ANN) is exploited for approximate mathematical modeling and secondly, finding the optimal weights for ANN. The exponential function is used as an activation function due to availability of its fractional derivative. The linear combination of these networks defines an unsupervised error for the system. The error is reduced by selection of appropriate unknown weights, obtained by training the networks using heuristic techniques. The stochastic techniques applied are based on nature inspired heuristics like Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) algorithm. Such global search techniques are hybridized with efficient local search techniques for rapid convergence. The local optimizers used are Simulating Annealing (SA) and Pattern Search (PS) techniques. The methodology is validated by applying to a number of linear and nonlinear fraction differential equations with known solutions. The well known nonlinear fractional system in engineering based on Riccati differential equations and Bagley- Torvik Equations are also solved with the scheme. The comparative studies are carried out for training of weights for ANN networks with SA, PS, GA, PSO, GA hybrid with SA (GA-SA), GA hybrid with PS (GA-PS), PSO hybrid with SA (PSO-SA) and PSO hybrid with PS (PSO-PS) algorithms. It is found that the GA-SA, GA-PS, PSO-SA and PSO-PS hybrid approaches are the best stochastic optimizers. The comparison of results is made with available exact solution, approximate analytic solution and standard numerical solvers. It is found that in most of the cases the design scheme has produced the results in good agreement with state of art numerical solvers. The advantage of our approach over such solvers is that it provides the solution on continuous time inputs with finite interval instead of predefine discrete grid of inputs. The other perk up of the scheme in its simplicity of the concept, ease in use, efficiency, and effectiveness.
Asian Research Index Whatsapp Chanel
Asian Research Index Whatsapp Chanel

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