Functional Fractional Calculus

• Main Author: Das, Shantanu (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Subjects: Engineering.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Complexity, Computational.; Appl.Mathematics/Computational Methods of Engineering.; Computational Science and Engineering.; Complexity.

When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extr...

Table of Contents:

• CHAPTER 1 INTRODUCTION TO FRACTIONAL CALCULUS
•   CHAPTER 2FUNCTIONS USED IN FRACTIONAL CALCULUS
•   CHAPTER 3   OBSERVATION OF FRACTIONAL CALCULUS IN PHYSICAL SYSTEM DESCRIPTION
•     CHAPTER-4   CONCEPT OF FRACTIONAL DIVERGENCE AND FRACTIONAL CURL CHAPTER-5
•   FRACTIONAL DIFFERINTEGRATIONS INSIGHT CONCEPTS
• CHAPTER-6   INITIALIZED DIFFERINTEGRALS AND GENERALIZED CALCULUS
•   CHAPTER-7   GENERALIZED LAPLACE TRANSFORM FOR FRACTIONAL DIFFERINTEGRALS
• CHAPTER-8   APPLICATION OF GENERALIZED FRACTIONAL CALCULUS IN ELECTRICAL CIRCUIT ANALYSIS & ELECTROMAGNETICS
•   CHAPTER-9   APPLICATION OF GENERALIZED FRACTIONAL CALCULUS IN OTHER SCIENCE AND ENGINEERING FIELDS
•   CHAPTER-10   SYSTEM ORDER IDENTIFICATION AND CONTROL
•   CHAPTER-11   SOLUTION OF GENERALIZED DIFFERENTIAL EQUATION SYSTEMS .