We investigate and analyze the dynamics of hepatitis B with various infection phases and multiple routes of transmission. We formulate the model and then fractionalize it using the concept of fractional calculus. For the purpose of fractionalizing, we use the Caputo–Fabrizio operator. Once we develop the model under consideration, existence and uniqueness analysis will be discussed. We use fixed point theory for the existence and uniqueness analysis. We also prove that the model under consideration possesses a bounded and positive solution. (...) We then find the basic reproductive number to perform the steady-state analysis and to show that the fractional-order epidemiological model is locally and globally asymptotically stable under certain conditions. For the local and global analysis, we use linearization, mean value theorem, and fractional Barbalat’s lemma, respectively. Finally, we perform some numerical findings to support the analytical work with the help of graphical representations. (shrink)

Islamic education; Islamic ethics; security education; culture conflict; influences; families; Saudi Arabia; intellectual life; 20th century.

The debate on the Prophet’s parents’ (abawayn al-Rasūl) religious status and their position in the hereafter goes back to several narrations from the Prophet himself. This subject, which can principally be considered part of the problem of the religious status of ahl al-fatrah, seems to be raised by the Shīʿah as an issue of creed in line with their understanding of imamate. Abū Ḥanīfah’s (d. 150/767) statement in his al-Fiqh al-akbar that “Prophet’s parents passed away on kufr/jāhiliyyah” is seen as (...) a Sunnī reaction to this earlier position and led to a new area of discussion shaping the approach of several scholars to the issue. The earliest treatises dedicated to this issue are attributed to al-Ghazzālī (d. 505/1111) and Abū Bakr Ibn al-ʿArabī (d. 543/1148), but these works did not survive to this day. The earliest examples available today are the six epistles that al-Suyūṭī (d. 911/1505) penned. Literature on the Prophet’s parents flourished during the Ottoman times after the introduction of al-Fiqh al-akbar to the Ottoman scholarship. Starting with the first examples that belong to Ibrāhīm al-Ḥalabī (d. 956/1549), Ibn al-Khaṭīb al-Amāsī (d. 940/1534), and Kamālpashazādah (d. 940/1534), the treatises in question were mostly written in Arabic in the Ottoman scholarly milieu. Consequently, it seems that Rawḍat al-ṣafā fī wāliday al-Muṣṭafá is the first treatise dedicated to the issue in Ottoman Turkish. In the library catalogue records, some bio-bibliographical sources, and consequently in some modern studies on the issue of abawayn al-Rasūl, Rawḍat al-ṣafā wrongly attributed to a certain Wajdī Aḥmad Efendī (in Turkish: Vecdî Ahmed Efendi). This is probably due to the author’s presentation of himself in the introduction as just “Wajdī,” without making further description. Besides the data in Bursalı Meḥmed Ṭāhir’s Osmanlı Müʾellifleri, no more information could be provided about the identity of Wajdī Aḥmad Efendī who is shown as the author of the treatise. Intra-textual signs such as the author’s words about the reason and process of writing the work, the way he handled the subject and the evidence he put forward indicate that the treatise belongs to Nūḥ ibn Muṣṭafá al-Qūnawī (d. 1070/1660). Indeed, it overlaps with the fact that Nūḥ ibn Muṣṭafá presented himself as Wajdī in many of his other works. Seemingly the fact that Nūḥ ibn Muṣṭafá defends the view that the parents of the Prophet are among the people of salvation (ahl al-najāh), and while doing this, he was mainly based on the view that they were resurrected after death and that their souls are recaptured after they believed in the Prophet, stem from various reasons such as the view that attributed to Abū Ḥanīfah, Nūḥ’s Sufi identity to the extent that he was initiated to the Khalwatiyyah/Gulshaniyyah along with the ever-growing Sufi influences and the consequent idea of nūr-i Muḥammadī in the public sphere, the authority of the narrations attributed to the Prophet, and perception about the Prophet Muḥammed in the public imagination. (shrink)

... the turn of the fourth/tenth century, in the province of Sijistan, Muhammad b. Tahir b. Bahram was born, known in the fullness of time as Abu Sulayman ...

Qushayrī, ʻAbd al-Karīm ibn Hawāzin, 986-1072; views on; ethics; soul; Islam.

Civil rights; human rights; law; philosophical aspects; idealism, German; philosophy, German.

يقدم المؤلف لنا قانونا اجتماعيًا لعلماء النفس والاجتماع السياسي صاغه كالآتي: (إذا زاد عدد الأفراد الذين يمارسون تصرّفًا يعدّ خزيًا، وتساهل القانون في محاسبة مرتكبيه، وعجز الناس عن إيقافه أو وجدوا له تبريرًا، تحوّل إلى ظاهرة ولم يعد خزيًا كما كان). و من هذه العبارة التقديمية يمكن أن نؤكد أن هذا الكتاب لا يمكن إيفاءه حقه بنبذة موجزة، فهو سفر فكري ممتع، حيث يتناول المؤلف فيه بشكل تحليلي وعلمي مقنع أهم الموضوعات التي تشغل العقل العربي، ما بين شخصيات سياسية كصدام (...) وسليماني، وما بين فكرة الموت والانتحار، والبغاء والجريمة، والالحاد والإيمان، واللاوعي الجمعي العربي وما يحمله من أمراض وانحرافات، والتحرش والكبت، والفساد والسلطة، واللغة العربية والحضارة. (shrink)

Faylasū al-ʻArab: al-Kindī -- al-Muʻallim al-thānī: al-Fārābī -- al-Shāʻir al-ḥakīm: al-Mutanabbī -- Baṭalīmūs al-ʻArab: Ibn al-Haytham -- Shaykh al-Islām: Ibn Taymīyah.