Hadamard-type fractional differential equations, inclusions and inequalities. (2017)

• Record Type: Book
• Further Information: Note: Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon.
• Authors: (Mathematics professor), Ahmad, Bashir; Alsaedi, Ahmed; Ntouyas, Sotiris, 1950-; Tariboon, Jessada, 1975-
• Contents: Preface; Contents; 1 Preliminaries; 1.1 Definitions and Results from Multivalued Analysis; 1.2 Definitions and Results from Fractional Calculus; 1.3 Fixed Point Theorems; 2 IVP and BVP for Hadamard-Type Differential Equations and Inclusions; 2.1 Introduction; 2.2 Functional and Neutral Fractional Differential Equations; 2.2.1 Functional Differential Equations; 2.2.2 Neutral Functional Differential Equations; 2.2.3 An Example; 2.3 Functional and Neutral Fractional Differential Inclusions; 2.3.1 Functional Differential Inclusions; 2.3.2 Neutral Functional Differential Inclusions. 2.3.3 Examples2.4 BVP for Fractional Order Hadamard-type Functional Differential Equations and inclusions; 2.4.1 Fractional Order Hadamard-Type Functional Differential Equations; 2.4.2 Fractional Order Hadamard-Type Functional Differential Inclusions; 2.5 Notes and Remarks; 3 Nonlocal Hadamard Fractional Boundary Value Problems; 3.1 Introduction; 3.2 A Three-Point Hadamard-Type Fractional Boundary Value Problem; 3.2.1 The Case of Fractional Integral Boundary Conditions; 3.3 Nonlocal Hadamard BVP of Fractional Integro-Differential Equations. 3.3.1 Existence and Uniqueness Result via Banach's Fixed Point Theorem3.3.2 Existence Result via Krasnoselskii's Fixed Point Theorem; 3.3.3 Existence Result via Leray-Schauder's Nonlinear Alternative; 3.3.4 Existence Result via Leray-Schauder's Degree; 3.3.5 A Companion Problem; 3.4 Nonlocal Hadamard BVP of Fractional Integro-Differential Inclusions; 3.4.1 The Carathéodory Case; 3.4.2 The Lower Semicontinuous Case; 3.4.3 The Lipschitz Case; 3.5 Nonlocal Hadamard Fractional Boundary Value Problems; 3.6 Existence Results: The Single-Valued Case; 3.7 Existence Result: The Multivalued Case. 3.8 Notes and Remarks4 Fractional Integro-Differential Equations and Inclusions; 4.1 Introduction; 4.2 Mixed Hadamard and Riemann-Liouville Fractional Integro-Differential Equations; 4.3 Mixed Hadamard and Riemann-Liouville Fractional Integro-Differential Inclusions; 4.3.1 The Upper Semicontinuous Case; 4.3.2 The Lipschitz Case; 4.3.3 Examples; 4.4 Existence Result via Endpoint Theory; 4.5 Notes and Remarks; 5 Factional Differential Equations with Hadamard Fractional Integral Conditions; 5.1 Introduction; 5.2 Nonlocal Hadamard Fractional Differential Equations. 5.2.1 Existence and Uniqueness Result via Banach's Fixed Point Theorem5.2.2 Existence and Uniqueness Result via Banach's Fixed Point Theorem and Hölder's Inequality; 5.2.3 Existence and Uniqueness Result via Nonlinear Contractions; 5.2.4 Existence Result via Krasnoselskii's Fixed Point Theorem; 5.2.5 Existence Result via Leray-Schauder's Nonlinear Alternative; 5.2.6 Existence Result via Leray-Schauder's Degree Theory; 5.3 Nonlocal Hadamard Fractional Differential Inclusions; 5.3.1 The Lipschitz Case; 5.3.2 The Carathéodory Case; 5.3.3 The Lower Semicontinuous Case.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (xiii, 414 pages), illustrations
• Subjects: 515/.35; 510; Mathematics; Fractional differential equations; Global analysis (Mathematics); Numerical analysis; MATHEMATICS -- Differential Equations -- General; MATHEMATICS -- Mathematical Analysis; Fractional differential equations; Mathematics -- Number Systems; Numerical analysis; Calculus & mathematical analysis; Mathematics; Analysis; Numerical Analysis; Electronic books
• Languages: English
• ISBNs: 9783319521411; 3319521411
• Related ISBNs: 9783319521404; 3319521403
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 29, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.