تربية اليتيم في ضوء الأسلوب القرآني

No doubt, that Allah’s book, the Holy Quran came for gathering the hearts, joining the ranks, strengthening the love and affection, kindness and justice, coordination between family and society, to build the strong coordinated society and orphan especially about the loss of their rights and depriving of their properties or engulf them wrongly. This paper discusses the care of the Quran with the orphans in all the dimensions of their rights and the situation of Qura’nic training/education for them, so that they can become strong parts for the society. Most of the coming verses discusses/narrates about them. Stating the meaning from them for all the justices that the Quran preceded all those demanding the justice for orphans rather it gave them with complete explanations. No explanations disturb anything about it knowledgeable, that the verses of the Quran presented 22 verses in which word of the orphan mentioned with the people 8 times and with the dual once and with the plural 14 times and he who explore these verses finds them divided into three types and the 1st type presents the mentioning of kindness/ charity, and testament/will for them in our Shariah and in the previous Shariahs, and the 2nd type mentions their social rights, so this paper studies all the dimensions of orphans’ life in the light of Qura’nic method with detail, so I liked to divide my this research paper into preface, 3 chapters and ending whereas preface includes the definition of orphan, and 1st chapter states the kindness/charity to the orphan and testament for them in the light of our Shariah and including the definition of orphan, and 2nd chapter presents their social rights as the 3rd takes care of their financial rights. In the ending comes with the important recommendations and suggestions.

Fuzzy Fractional Differential Equations

The concept of fuzzy fractional differential equation (FFDE) was introduced by Agar- wal, Lakshmikantham and Nieto [1]. We develop this concept of fuzzy fractional dif- ferential equation and obtain some results about existence and uniqueness of solution of FFDE. In the second chapter we recall some basic knowledge of fuzzy calculus and frac- tional calculus. In third chapter we introduce the concept of Riemann-Liouville integral and Riemann-Liouville derivative for fuzzy functions. Fuzzy derivative is consider in the Seikkala sense. Moreover we give the new results about the properties of fuzzy frac- tional integral and fuzzy fractional derivative. Further, we study the existence and uniqueness of the solution for a class of fractional differential equation with fuzzy ini- tial value. The fractional derivatives are considered in the Riemann-Liouville sense. In fourth chapter we establish that fuzzy fractional differential equation is equiv- alent to the fuzzy integral equation and using this equivalence we prove the existence and uniqueness of solution of fuzzy fractional differential equation. Fuzzy derivative is considered in the Goetschel-Voxman sense. Also the applications of the existence and uniqueness theorem has been given. In fifth chapter we present results regarding the existence of the solutions of fuzzy fractional integral equations (FFIE). We prove the existence of the solutions of FFIE under compactness type conditions using the Hausdorff measure of noncompactness. Also we prove an existence result without using noncompactness measure. For this we use a variant of the Schauder fixed point theorem in fuzzy metric space.