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Title: Atomic solutions of certain fractional differential equations / by Afaf Mahmoud Al-hawatmeh ; supervised by Prof. Dr. Roshdi Rashid Khalil. حلول نووية لبعض المعادلات التفاضلية الكسرية
حلول نووية لبعض المعادلات التفاضلية الكسرية حلول نووية لبعض المعادلات التفاضلية الكسرية
Author: al-hawatmeh, Afaf Mahmoud, author.
Khalil, Roshdi Rashid, supervisor.
The University of Jordan (Amman, Jordan). School of Science. Department of Mathematics.
General Notes: Thesis (M. Sc. in Mathematics)--University of Jordan (Amman, Jordan), School of Science, Department of Mathematics , 2021.
Includes bibliographical references and index.
The Bateman Burger's equation, which was first introduced by Harry Bateman in 1915. Later on it was studied by Johannes Martinus- Burgers. It is a Fundamental PDE taking place in many areas in applied mathematics, like fluid mechanics, traffic flow, gas dynamics. It is studied by many researchers using different numerical methods. In this thesis, we presented basic material on the conformable fractional derivative. Then we found certain solutions of the fractional Bateman-Burgers type equation.
معادلة برغر باتيمان-و التي قدمها باتيمان لأول مرة في عام1915, و درسها فيما بعد جونز مارتينيز برغر- هي معادلة تفاضلية جزئية أساسية, لها دور محوري في العديد من مجالات الرياضيات التطبيقية مثل ميكانيكا الموائع, وفي تدفق حركة المرور و ديناميكية الغازات, كما درس المعادلة العديد من الباحثين مستخدمين طرق رقمية عدة. في هذه الرسالة قدمنا مفاهيم أساسية عن التفاضل الكسري المطابق ثم أوجدنا حلول محددة لمعادلة باتيمان برغر.
The electronic version is available in theses database \\ University of Jordan.
Includes abstracts in Arabic and English.
Subject: Mathematics
Differential equations
Burgers equation.
Fluid -- mechanics.
Dissertation Note: Thesis (M. Sc. in Mathematics)--University of Jordan (Amman, Jordan), School of Science, Department of Mathematics , 2021.
Physical Description: 1CD-ROM : PDF.
Publication Date: 2021.

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Theses & Disertations Thesis 515 H389 No Circulation Available 1 JUF0838140 Compact Disc Read-only Memory