General Fractional Derivatives with Applications in Viscoelasticity

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 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. The book will help many in diverse science and engineering fields understand general fractional derivatives and their applications. Presents a comprehensive overview of the fields of fractional calculus and its applications in viscoelasticityProvides help in handling power-law functions, while other books emphasize fractal problemsIntroduces and explores questions about general fractional derivatives and its applications INDICE: 1. Introduction2. Special Functions3. Fractional Derivatives with Singular Kernels4. Fractional Derivatives with Nonsingular Kernels5. Variable-order Fractional Derivatives with Singular Kernels6. Variable-order Fractional Derivatives with Nonsingular Kernels7. General derivatives8. Applications of Fractional-order Viscoelastic Model

• ISBN: 978-0-12-817208-7
• Editorial: Academic Press
• Encuadernacion: Rústica
• Páginas: 395
• Fecha Publicación: 01/11/2019
• Nº Volúmenes: 1
• Idioma: Inglés