GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
SPECIAL TOPICS IN FRACTIONAL DIFFERENTIAL EQUATIONS/6500580
Course Title: SPECIAL TOPICS IN FRACTIONAL DIFFERENTIAL EQUATIONS
Credits 3 ECTS 7.5
Course Semester 1 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
A particular feature that engineers and scientists have developed new models that involve fractional differential equations.
At the end of this course, students will have knowledge of these models and fractional analysis.
Put emphasis on the relations between differential equations and mathematical models.
The content of the course is associated with the other areas of mathematics such as algebra, analysis etc.
Students have gained knowledge about computer programming and preparing algorithms.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Introduction: Motivation to the subject
2. Week  The basic idea
3. Week  An example: Application of fractional calculus
4. Week  Riemann-Liouville differential and integral operators
5. Week  Caputo's Approach:Definition and basic properties
6. Week  Mittag-Leffler functions
7. Week  Theory of Fractional Differential Equations: Existance and uniqueness results for Riemann-Liouville fractional differential equations
8. Week  Single-Term Caputa Fractional Differential Equations
9. Week  Existance of solutions
10. Week  Uniqueness of Solutions
11. Week  Influence of perturbed data
12. Week  Smoothness of solutions
13. Week  Boundary value problems
14. Week  Initial value problems for linear equations
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
1
10
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
 Reading Tasks
4
12
48
 Searching in Internet and Library
4
12
48
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
1
15
15
 Presentation
1
5
5
 Midterm Exam and Preperation for Midterm Exam
1
15
15
 Final Exam and Preperation for Final Exam
1
15
15
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
188
 TOTAL WORKLOAD / 25: 
7.52
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7X
8X
9X
10X
11X
12X
 -- NAME OF LECTURER(S)
   (Prof. Dr. Fatma AYAZ)
 -- WEB SITE(S) OF LECTURER(S)
   (http://websitem.gazi.edu.tr/site/fayaz)
 -- EMAIL(S) OF LECTURER(S)
   (fayaz@gazi.edu.tr)