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Hadamard-type fractional differentia...

Ahmad, Bashir.

Hadamard-type fractional differential equations, inclusions and inequalities

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hadamard-type fractional differential equations, inclusions and inequalitiesby Bashir Ahmad ... [et al.].
other author:	Ahmad, Bashir.
Published:	Cham :Springer International Publishing :2017.
Description:	xiii, 414 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fractional differential equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-52141-1
ISBN:	9783319521411$q(electronic bk.)

Hadamard-type fractional differential equations, inclusions and inequalities
Hadamard-type fractional differential equations, inclusions and inequalities[electronic resource] /by Bashir Ahmad ... [et al.]. - Cham :Springer International Publishing :2017. - xiii, 414 p. :ill., digital ;24 cm.

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.

This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Through 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.

ISBN: 9783319521411$q(electronic bk.)

Standard No.: 10.1007/978-3-319-52141-1doiSubjects--Topical Terms:

709091
Fractional differential equations.

LC Class. No.: QA314

Dewey Class. No.: 515.35

Hadamard-type fractional differential equations, inclusions and inequalities
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245 0 0 $a Hadamard-type fractional differential equations, inclusions and inequalities $h [electronic resource] / $c by Bashir Ahmad ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xiii, 414 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. Through 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.
650 0 $a Fractional differential equations. $3 709091
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Analysis. $3 273775
650 2 4 $a Numerical Analysis. $3 275681
700 1 $a Ahmad, Bashir. $3 776020
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52141-1
950 $a Mathematics and Statistics (Springer-11649)