General Fractional Derivatives with Applications in Viscoelasticity

Yang, Xiao-Jun/ Gao, Feng/ Ju, Yang

Academic Press Inc（2020/04発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 454 p.
• 言語 ENG
• 商品コード 9780128172087
• DDC分類 515.83

Full Description

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them, as the general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials. General Fractional Derivatives with Applications in Viscoelasticity makes a concise presentation of general fractional calculus.

Contents

1. Special Functions2. Fractional Derivatives with Singular Kernels3. Fractional Derivatives with Nonsingular Kernels4. Variable-order Fractional Derivatives with Singular Kernels5. Variable-order Fractional Derivatives with Nonsingular Kernels6. General derivatives7. Applications of Fractional-order Viscoelastic Models