| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| BRDOOK 5307 | Fractional Differential Operators and their Applications | Бірінші курс | 5 | 150 | 1 | 2 |
The purpose of the discipline: The main purpose of this course is to teach undergraduates the concept of integrals and derivatives of fractional order, methods for solving the simplest differential equations of fractional order. After mastering this subject, undergraduates will know the basic methods for solving fractional differential equations. Develops constructive methods for solving fractional-order differential equations and studies new mathematical methods.
learning and study, Case-study Method, problem work method, developmental learning method, project based approach technology, exchange of views, discussion, problem methods.
| 1 | Creates constructive methods for solving boundary value problems of integro-differential equations; |
| 2 | Studies new mathematical methods for solving extreme problems and boundary value problems for nonlinear differential equations and mathematical physics; |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Euler gamma and beta functions, Mittag-Leffler type function | Ауызша және жазбашапрезентация |
| 2 | Integral of fractional order and its elementary properties. | Ауызша және жазбаша |
| 3 | Types of differential operators of fractional order. | презентация |
| 4 | Properties of a fractional-order integral. | Жазбаша |
| 5 | Relations between differential and integral operators of fractional order | презентация |
| 6 | Basic properties of fractional differential operators. | презентация |
| 7 | The basic concepts of the operator method. | Жазбаша |
| 8 | An operator method for solving an integer differential equation. | презентация |
| 9 | Methods for solving special classes of fractional differential equations. Methods for solving fractional differential equations in the general case. | Жазбаша |
| 10 | Methods for solving differential equations with a sequence derivative. | презентация |
| 11 | The Adomein method for solving a fractional differential equation. | презентация |
| 12 | The use of integral transformations in solving a fractional differential equation. | презентация |
| 13 | Fractional analogues of equations of parabolic origin. | Жазбаша |
| 14 | Fractional analogues of equations of hyperbolic origin. | Жазбашапрезентация |
| 15 | Fractional analogues of equations of elliptical origin. | Жазбашапрезентация |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | 1. Týrmetov B.H. Operatornye metody reshenıa dıfferensıalnyh ýravnenıı drobnogo porádka ı ıh prılojenıa. Monografıa. – Shymkent: Tıpografıa 'Álem', 2016 . – 184s. RMEB | |
| 2 | 2. Týrmetov B.H. Integro-dıfferensıalnye operatory drobnogo porádka ı ıh prımenenıa k voprosam razreshımostı kraevyh zadach. Monografıa.– Shymkent: Tıpografıa 'Álem', 2016 . – 220 s. | |
| 3 | 3. Týgylbaeva B.G. Lıneınye operatory : Metodıcheskıe ýkazanıa. . - Ýs-Kamenogorsk: Izdatelstvo VKGÝ, 2014. - 31 c. - ISBN 9789965875557. RMEB | |
| 4 | 4. Muhtarov M. Dıfferensıaldyq teńdeýler boıynsha dárister: Oqý quraly. / S. Toraıǵyrov atyndaǵy Pavlodar memlekettik ýnıversıteti . - Pavlodar: Kereký, 2015. – 409 b. | |
| 5 | 5. Dospýlova, Ý. K. Dıfferensıalnye ýravnenıa : Ýchebnoe posobıe. . - Kostanaı: KGPI, 2016. - 99 c. - ISBN 978-601-7839-50-5. RMEB |