General Fractional Derivatives with Applications in Viscoelasticity

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.

Presents a comprehensive overview of the fractional derivatives and their applications in viscoelasticityProvides help in handling the power-law functionsIntroduces and explores the questions about general fractional derivatives and its applications

1. Special Functions 2. Fractional Derivatives with Singular Kernels 3. Fractional Derivatives with Nonsingular Kernels 4. Variable-order Fractional Derivatives with Singular Kernels 5. Variable-order Fractional Derivatives with Nonsingular Kernels 6. General derivatives 7. Applications of Fractional-order Viscoelastic Models