Handbook of fractional calculus with applications. Volume 7, Applications in engineering, life and social sciences. Part A

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This seventh volume collects authoritative chapters covering several applications of fractional calculus in in engineering, life, and social sciences, including applications in biology and medicine, mechanics of complex media, economy, and electrical devices. Frontmatter 2 Preface 6 Contents 8 Fractional differential equations with bio-medical applications 10 Fractional-order modeling of electro-impedance spectroscopy information 30 Numerical solutions of singular time-fractional PDEs 52 A multi-scale model of nociception pathways and pain mechanisms 64 Variable-order derivatives and bone remodeling in the presence of metastases 78 Skeletal muscle modeling by fractional multi-models: analysis of length effect 104 Fractional calculus for modeling unconfined groundwater 128 Fractional calculus models in dynamic problems of viscoelasticity 148 Fractional calculus in structural mechanics 168 Anomalous solute transport in complex media 202 Application of variable-order fractional calculus in solid mechanics 216 Fractional heat conduction models and their applications 234 Index 256 Volume 7: Applications in Engineering,Life and Social Sciences,Part A Intro Preface Contents Fractional differential equations with bio-medical applications Fractional-order modeling of electro-impedance spectroscopy information Numerical solutions of singular time-fractional PDEs A multi-scale model of nociception pathways and pain mechanisms Variable-order derivatives and bone remodeling in the presence of metastases Skeletal muscle modeling by fractional multi-models: analysis of length effect Fractional calculus for modeling unconfined groundwater Fractional calculus models in dynamic problems of viscoelasticity Fractional calculus in structural mechanicsAnomalous solute transport in complex media Application of variable-order fractional calculus in solid mechanics Fractional heat conduction models and their applications Index