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Fractional evolution equations and inclusions /
Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analy...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
San Diego, CA :
Academic Press,
�2016.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover ; Fractional Evolution Equations and Inclusions ; Copyright ; Table of Contents ; Preface; Chapter 1: Preliminaries; 1.1 Basic Facts and Notation ; 1.2 Fractional Integrals and Derivatives.
- 1.3 Semigroups and Almost Sectorial Operators 1.4 Spaces of Asymptotically Periodic Functions ; 1.5 Weak Compactness of Sets and Operators.
- 1.6 Multivalued Analysis1.7 Stochastic Process; Chapter 2: Fractional Evolution Equations; 2.1 Cauchy Problems; 2.2 Bounded Solutions on Real Axis ; 2.3 Notes and Remarks ; Chapter 3: Fractional Evolution Inclusions With Hille-yosida Operators; 3.1 Existence of Integral Solutions.
- 3.2 Topological Structure of Solution Sets 3.3 Notes and Remarks ; Chapter 4: Fractional Control Systems ; 4.1 Existence and Optimal Control ; 4.2 Optimal Feedback Control; 4.3 Controllability; 4.4 Approximate Controllability.
- 4.5 Topological Structure of Solution Sets 4.6 Notes and Remarks ; Chapter 5: Fractional Stochastic Evolution Inclusions; 5.1 Existence of Mild Solutions.