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Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

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概要 This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Throug...h a comprehensive study based in part on their recent research, the authors address the issues related to initial and boundary value problems involving Hadamard type differential equations and inclusions as well as their functional counterparts. The book covers fundamental concepts of multivalued analysis and introduces a new class of mixed initial value problems involving the Hadamard derivative and Riemann-Liouville fractional integrals. In later chapters, the authors discuss nonlinear Langevin equations as well as coupled systems of Langevin equations with fractional integral conditions. Focused and thorough, this book is a useful resource for readers and researchers interested in the area of fractional calculus.続きを見る
目次 1. Preliminaries
2. IVP and BVP for Hadamard-type differential equations and inclusions
3. Nonlocal Hadamard fractional boundary value problems
4. Fractional integro-differential equations and inclusions
5. Fractional differential equations with Hadamard fractional integral conditions
6. Hadamard type coupled systems of fractional differential equations
7. Nonlinear Langevin equation and inclusions of Hadamard-Caputo type
8. Impulsive multi-order Hadamard fractional differential equations
9. IVP and BVP for Hybrid Hadamard Fractional Differential Equations and Inclusions
10. Positive solutions for Hadamard fractional differential equations on infinite domain
11. Fractional integral inequalities via Hadamard's fractional integral
References
Index.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2017 English/International
Full text available from SpringerLink ebooks - Mathematics and Statistics without Lecture Notes (2017)

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登録日 2020.06.27
更新日 2021.05.09