| Dersin Kodu | Dersin Adı | Dersin Türü | Yıl | Yarıyıl | AKTS | | FMA728 | FRACTIONAL INTEGRAL II | Zorunlu | 1 | 1 | 6 |
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| Dersin Seviyesi |
| Doktora |
| Dersin Amacı |
| Teaching high level of mathematics to Phd. students. |
| Dersi Veren Öğretim Görevlisi/Görevlileri |
| DOÇ.DR. ERHAN SET |
| Öğrenme Çıktıları |
| 1 | Students who successfully complete this course: Students will learn theoretical concepts in mathematics and how to read academical journals. |
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| Öğrenim Türü |
| Formal Education |
| Dersin Ön Koşulu Olan Dersler |
| None |
| Ders İçin Önerilen Diğer Hususlar |
| None |
| Dersin İçeriği |
| Riemann-Liouville Fractional Integrals and Derivatives, The Abel integral equation, On the solvability of the Abel equation in the space of integrable functions, Fractional integrals and derivatives of complex order, Fractional integrals of some elementary functions, The Fractional Integrals of Hölder and Summable Functions, Mapping properties in the space ,Mapping properties in the space , The Main Properties of Fractional Integrals and Derivatives, Definitions and elementery properties, Fractional integrals of Hölderian functions, Fractional integrals of summable functions, Representation of Function by Fractional Integrals of -Function, Inversion of fractional integrals of -Function
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| Haftalık Ayrıntılı Ders İçeriği |
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| 1 | Riemann-Liouville Fractional Integrals and Derivatives | | | | 2 |
The Abel integral equation | | | | 3 |
On the solvability of the Abel equation in the space of integrable functions | | | | 4 |
Fractional integrals and derivatives of complex order, | | | | 5 |
Fractional integrals of some elementary functions, | | | | 6 |
The Fractional Integrals of Hölder | | | | 7 |
Mapping properties in the space H^lamda | | | | 8 |
midterm | | | | 9 |
Mapping properties in the space L^p | | | | 10 |
The Main Properties of Fractional Integrals | | | | 11 |
The Main Properties of Fractional Derivatives, | | | | 12 |
Fractional integrals of Hölderian functions | | | | 13 |
Fractional integrals of summable functions | | | | 14 |
Representation of Function by Fractional Integrals of L^p-Function | | | | 15 |
Inversion of fractional integrals of L^p-Function
| | | | 16 |
Final exam
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| Ders Kitabı / Malzemesi / Önerilen Kaynaklar |
| Samko, S.G.,Kilbas, A.A., andMarichev, O.I., FractionalIntegralsandDerivatives. 1993 |
| Planlanan Öğrenme Aktiviteleri ve Metodları |
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| Değerlendirme | |
| TOPLAM | 0 | |
| TOPLAM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | TOPLAM | 100 |
| | Dersin Sunulduğu Dil | | Turkish | | Staj Durumu | | None |
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| İş Yükü Hesaplaması |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 3 | 42 |
| Self Study | 14 | 6 | 84 |
| Individual Study for Mid term Examination | 2 | 10 | 20 |
| Individual Study for Final Examination | 2 | 15 | 30 |
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| Program ve Öğrenme Çıktıları İlişkisi |
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| * Katkı Düzeyi : 1 Çok düşük 2 Düşük 3 Orta 4 Yüksek 5 Çok yüksek |
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Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
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