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نیا ز احمد صدیقی

آہ! جناب نیاز احمد صدیقی
اسی مہینہ یعنی مارچ ۱۹۸۳؁ء میں جناب نیاز احمد صدیقی تقریباً ۸۴ سال کی عمر میں اﷲ کو پیارے ہوئے، وہ کوئی ادیب شاعر، نقاد اور مصنف نہ تھے، شروع سے آخر تک انگریزی زبان کے قابل قدر استاذ رہے، وطن مریاہو ضلع جونپور تھا، اردو زبان کے مایہ ناز ادیب اور نقاد جناب رشید احمد صدیقی کے چھوٹے بھائی تھے، مسلم یونیورسٹی علی گڑھ سے ایم اے، ایل ایل بی اور بی ٹی کی ڈگریاں حاصل کرکے شبلی اسکول اعظم گڑھ میں انگریزی کے استاد ہوئے، پھر جب یہ اسکول انٹر اور ڈگری کالج بنا، تو اس کے انگریزی کے لکچرر مقرر کئے گئے، آخر میں محمد حسن انٹر کالج کے پرنسپل بنے، وہاں سے ریٹائر ہونے کے بعد دارالعلوم ندوۃ العلماء میں کچھ دنوں انگریزی پڑھاتے رہے، یہی ان کی زندگی کی مختصر روداد ہے، مگر وہ ان چند شریف انسانوں میں تھے، جو حدیث سوزو ساز زندگی کے حامل، اخوت کے بیان اور محبت کی زبان بن کر اپنے گھر والوں، دوستوں اور معاصروں کے ساتھ رہے، اپنی اس طویل زندگی کے سولہ برس دارالمصنفین کے احاطہ میں گزارے اور اس کے شب و روز کو پر کیف بنانے میں کوئی کسر اٹھا نہیں رکھی، کوئی مسئلہ ہوتا، کوئی نازک وقت آتا، یا کوئی تقریب ہوتی، تو ہر موقع پر اپنے مخلصانہ، مشفقانہ اور ناصحانہ مشوروں سے سب کی دل داری، دلنوازی اور رہنمائی کرتے، وہ یہاں کی زندگی کے جزولاینفک ہوگئے تھے، اپنے شریفانہ برتاؤ، اخلاقی بلندی اور روزمرہ کی زندگی کے لین دین کی طہارت اور صاف باطنی میں قرونِ اولیٰ کی روایت کو تازہ کرتے، ان کی پاک اور طاہر زندگی پر اس وقت رشک آتا جب دارالمصنفین کے احاطہ کے اندر بعض لوگوں کی زبان سے یہ سننے میں آتا کہ ایک صحابی کی زندگی...

The Synergy Of Islamic Banking And Village-Owned Enterprises (BUMDes) To Strengthen Unbankable Business Capital

This study aims to determine the synergy that can be implemented between Islamic Bank and Village Owned Enterprises (BUMDes) to strengthen unbankable business capital and to assess the application of sharia contracts toward some products provided by BUMDes. The research methodology used qualitative analysis, primary data obtained from informants, namely one branch manager of Islamic Bank of Indonesian (BSI), Pekanbaru branch and 14 BUMDes leaders in Tambang District, Kampar. The results show that first: two forms of synergy can be implemented between BSI and BUMDes to strengthen unbankable business capital, namely BSI finances through BUMDes then distributed to the unbankable micro-entrepreneurs and BSI distributes directly to the unbankable micro-entrepreneurs based on  BUMDes recommendation then BSI provides a fee after BUMDes gives the guarantee, second: the application of sharia contracts toward some products supplied by BUMDes currently could use wadi`ah, mudharobah, musyarokah, murobahah, salam, istisna, ijaroh and wakalah.      

Existense and Approximation of Solutions of Differential Equations

Nonlinear coupled boundary value problems (BVPs) have very important and interesting aspects in the kingdom of Nonlinear Analysis due to not only the theoretical aspects but also the applications which they have in almost everyeld of science. Problems with coupled boundary conditions (BCs) appear while studying mathematical biology, Sturm-Liouville problems, reaction di usion phenomena, chemical systems, and Lotka-Volterra models. This thesis has two parts. In therst part, the existence results are established for therst{order and the second{order nonlinear coupled BVPs subject to nonlinear coupled BCs. Also in the same part, the existence results are established for the second{order nonlinear coupled BVPs when the nonlinear functions have dependence on therst-order derivative. Multiple approaches are available in the literature to investigate the existence of solutions of nonlinear BVPs, but lower and upper solutions (LUSs) approach is one of the strongest. In this approach the original problem is modi ed logically to a new problem, known as the modi ed problem, then the theory of di erential inequalities with the combination of well-known existence results are applied to establish the existence of solution of the modi ed problem. Finally the solution of the modi ed problem leads to the solution of the original problem. Moreover in therst part of the thesis the treatment of the many di erentrst-order and the second-order nonlinear BVPs are uni ed by developing the idea of coupled LUSs. Under this idea, some monotonicity assumptions are imposed on the arguments of the nonlinear BCs in the presence of the existence of a lower solution and an upper solution to unify the classical existence results for very important types of BVPs, like periodic, anti-periodic, Dirichlet, and Neumann. Several examples are discussed to support the theoretical results. The subject fractional calculus being a generalization of integer-order calculus has numerous applications in almost everyeld of science. Due to the intensive use of fractional order di erential problems (FODPs) in almost everyeld of science including, but not limited to, uid dynamics, physics, aerodynamics, chemistry, mathematical biology, image processing, and psychology, there is a strong motivation for the researchers to develop reliable and e cient numerical methods tond the approximate solutions of FODPs. xii xiii In the second part of the thesis, we consider a generalized class of multi{terms fractional order partial di erential equations (FOPDEs) and their coupled systems. We develop a new numerical method and generalize the corresponding Jacobi operational matrices of integrals and derivatives considered on a rectangular plane. By means of the operational matrices, the considered problem of fractional order is reduced to an algebraic one. Being easily solvable, the associated algebraic system leads tonding the solution of the considered problem of fractional order. Validity of the method is established by comparing our simulation results obtained by using MATLAB softwares with the exact solutions in the literature yielding negligible errors.
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