Dettaglio del documento
Fractional differential and integral operators with respect to a function : theory methods and applications
Abstract
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 integral, used for calculating areas and volumes.
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Together, they form the backbone of differential and integral equations, widely applied in science, technology, and engineering. However, discrepancies between mathematical models and experimental data led to the development of extended integral forms, such as the Riemann–Stieltjes integral and fractional integrals, which integrate functions with respect to another function or involve convolutions with kernels [...]. (Estratto dal sito dell'editore)
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| eBook | ||
| Monografia | ||
| Description | *Fractional differential and integral operators with respect to a function : theory methods and applications / Abdon Atangana, İlknur Koca. - Singapore : Springer, 2025. - 1 testo elettronico (xii, 412 p. : ill.) | |
| ISBN E-Book | 9789819799510 | |
| Series | Industrial and applied mathematics | |
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| Subjects | 26-XX - Real functions [MSC 2020] | |
| 26A33 - Fractional derivatives and integrals [MSC 2020] | ||
| Parole chiave |
Existence and uniqueness of ODE nonlocal differential operators
New inequalities Nonlocal differential operators induced by g(t)-geometry Nonlocal integral operators Induced by g(t)-geometry Numerical analysis and applications |
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| Publication place | Singapore | |
| Publisher | Springer <editore> | |
| Publication year | 2025 | |
| Thesaurus | 26-XX | |
| 26A33 | ||
| Fractional derivatives and integrals [MSC 2020] | ||
| Real functions [MSC 2020] |