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جے کر بیری پھل نہ دیوے

جے کر بیری پھل نہ دیوے
جین کوئی اوہنوں پل نہ دیوے

دانش ور نوں مسئلہ دسیا
عشق دا اوہ وی حل نہ دیوے

ڈِھڈ دے ہولے بندے نوں تے
بندہ دل دی گل نہ دیوے

دل دے بدلے جے کر دل اوہ
نہیں دیندا تے چل نہ دیوے

اوہنوں آکھو عشق دی اگ نوں
یا بُرکے یا جھل نہ دیوے

ایہہ جئی دانش میں کیہ کرنی
جیہڑی جین دا ول نہ دیوے

بین المذاہب ہم آہنگی کے لئے اقوام متحدہ کا کردار

        Independance, freedom, peace and justice can be included in basic human needs. Need of these qualities and disliking of wars existed in human being since long. To accomplishes his task, UN was established in 1945.  It is working for peace, resolution of disputes, restoration of human rights, welfare of mankind, freedom, religious and interfaifaith harmony.                This world is a temporary abode where the humans are deemed as social beings. Allah Almighty has also endowed the humans with intellect and reason which has made conflict and difference of opinion inevitable among communities. Coupled with this are factors that can prove fatal and lead the humans astray. In such a critical scenario it is high time to work for global peace and harmony and to look for ways and means that ensure mutual understanding, tolerance, respect for humanity and above all respect for all religions.        This artical descides how much successfull UN was in achieving its goals and what are the future prospects

Efficacious Algorithms for the Solutions of Fractional Differential Equations

Fractional calculus is the generalization of integer-order calculus to non-integer order. In recent decades, fractional calculus has re-attracted the attention of scientists and engineers. Due to the nonlocal property, fractional operators give a perfect aid to characterize the memory and hereditary properties of various processes and materials. As a result, and motivated by the increasingly important role played by fractional calculus, mathematicians are constantly developing algorithms for solving fractional differential equations. The objective of this work is to develop the efficacious algorithms for the solutions of both ordinary and partial fractional differential equations. For solving both linear and non-linear fractional differential equations, spline method and residual power series method are used. Matlab, Maple and Mathematica programmes are developed to compute the numerical solutions. The simplicity, efficiency and accuracy of the presented methods are demonstrated by aid of several examples and comparisons are made between exact and numerical solutions.
Asian Research Index Whatsapp Chanel
Asian Research Index Whatsapp Chanel

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