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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 616FRACTIONAL DIFFERENTIAL EQUATIONS3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective To investigate solution methods of the fractional differential equations.
Course Content To obtain analytical and approximate solutions of fractional differential equations by using Laplace, Mellin and Fourier transforms and numerical methods.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Student solves fractional differential equations by using Laplace, Mellin and Fourier transforms.
2Student solves fractional differential equations by using orthogonal polynomials.
3Student obtains the approximate solution of the fractional differential equations by the finite difference method.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001        
LO 002        
LO 003        
Sub Total        
Contribution00000000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2019-2020 Fall1ALİ KURT


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 616 FRACTIONAL DIFFERENTIAL EQUATIONS 3 + 0 1 Turkish 2019-2020 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Assoc. Prof. Dr. ALİ KURT akurt@pau.edu.tr FEN A0307 %60
Goals To investigate solution methods of the fractional differential equations.
Content To obtain analytical and approximate solutions of fractional differential equations by using Laplace, Mellin and Fourier transforms and numerical methods.
Topics
WeeksTopics
1 Basic Functions and Transforms for Fractional Calculus
2 Basic Functions and Transforms for Fractional Calculus
3 Definitions and Properties of Fractional Derivatives
4 Definitions and Properties of Fractional Derivatives
5 Definitions and Properties of Fractional Derivatives
6 Definitions and Properties of Fractional Derivatives
7 Some Examples of Fractional Derivatives
8 Some Examples of Fractional Derivatives
9 Fractional Differential Equations and Solution Methods
10 Fractional Differential Equations and Solution Methods
11 Fractional Differential Equations and Solution Methods
12 Fractional Partial Dfferential Equations and Some Solution Methods
13 Fractional Partial Dfferential Equations and Some Solution Methods
14 Fractional Partial Dfferential Equations and Some Solution Methods
Materials
Materials are not specified.
Resources
ResourcesResources Language
Kilbas, A. A. A., Srivastava, H. M., & Trujillo, J. J. (2006). Theory and applications of fractional differential equations (Vol. 204). Elsevier Science Limited.English
Podlubny, I. (1998). Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications (Vol. 198). Elsevier.English
MILLER, Kenneth S.; ROSS, Bertram. An introduction to the fractional calculus and fractional differential equations. Wiley, 1993.English
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes