Fractional Differential Equations: Theoretical Aspects and Applications

ISBN-13: 9780443154232 / Angielski

Praveen Agarwal; Carlo Cattani; Shaher Momani

Spis treści

1. Introduction and Overview
2. Modelling Capillary Absorption in Building Materials with Emphasis on the Fourth Root Time Law
3. Fractional Velocities
4. Quintic and Quinticated Oscillators
5. Krasnoselskii-Type Theorems for Monotone Operators in Ordered Banach Algebra with Applications in Fractional Differential Equations and Inclusion
6. Computational Preconditioned Gauss-Seidel via Half-Sweep Approximation to Caputo's Time-Fractional Differential Equations
7. Congruence between Mild and Classical Solutions of Generalized Fractional Impulsive Evolution Equation
8. On the Conformable Fractional Triple Sumudu Transform and its Applications
9. Numerical Approximation of the General Model of Fractional Partial Differential
Equations Arising in Science and Engineering
10. Fractional Space of Sobolev Type with Riemann-Liouville Fractional Derivative
11. Fractional Differential Equation Model for RLC Circuits
12. Fractional Calculus-Based Dynamic Systems
13. Soliton Solution of Damped KdV Equation in Unmagnetized Superthermal
Plasmas: Application of Adomian Decomposition Method
14. (?, ?)-BVP for Impulsive Differential Equations of Fractional Order on Banach Space
15. An Optimal Control Analysis of HIV/Visceral Leishmaniasis Co-Infection Model
16. A General-Purpose Fractional Order Optimal Control Problem (FOOCP) Solver and a Benchmark on Optimal Vaccination Control of a Pandemic