Fractional Differential and Integral Operators with Respect to a Function Theory Methods and Applications /
This book explores the fundamental concepts of derivatives and integrals in calculus, extending their classical definitions to more advanced forms such as fractional derivatives and integrals. The derivative, which measures a function's rate of change, is paired with its counterpart, the integr...
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| Asıl Yazarlar: | , |
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| Müşterek Yazar: | |
| Materyal Türü: | Elektronik Ekitap |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2025.
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| Edisyon: | 1st ed. 2025. |
| Seri Bilgileri: | Industrial and Applied Mathematics,
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| Konular: | |
| Online Erişim: | https://doi.org/10.1007/978-981-97-9951-0 |
| Etiketler: |
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İçindekiler:
- History of differential and integral calculus.-Global derivatives, definitions and properties
- Integral operators, definitions and properties
- Inequalities related to global fractional derivatives
- Inequalities associated to Integrals
- Existence and Uniqueness of IVP with global differentiation on via Picard iteration
- Existence and uniqueness via Carathéodory approach
- Existence and uniqueness analysis of nonlocal global differential equations with expectation approach
- Chaplygin’s method for global differential equations
- Numerical analysis of IVP with classical global derivative.-Numerical analysis of IVP with Riemann-Liouville global derivative
- Numerical analysis of IVP with Caputo-Fabrizio global derivative
- Numerical analysis of IVP with Atangana-Baleanu global derivative
- Examples and applications of global fractional differential equations.