Jessada Tariboon's Books

Quantum Calculus: New Concepts, Impulsive Ivps And Bvps, Inequalities

By: Bashir Ahmad,Sotiris K Ntouyas,Jessada Tariboon

Write a review Read reviews Take a Quiz Solve Book Puzzle

Quantum Calculus: New Concepts, Impulsive Ivps And Bvps, Inequalities

By: Bashir Ahmad,Sotiris K Ntouyas,Jessada Tariboon

The main objective of this book is to extend the scope of the q-calculus based on the definition of q-derivative [Jackson (1910)] to make it applicable to dense domains. As a matter of fact, Jackson's definition of q-derivative fails to work for impulse points while this situation does not arise for impulsive equations on q-time scales as the domains consist of isolated points covering the case of consecutive points. In precise terms, we study quantum calculus on finite intervals.In the first part, we discuss the concepts of qk-derivative and qk-integral, and establish their basic properties. As applications, we study initial and boundary value problems of impulsive qk-difference equations and inclusions equipped with different kinds of boundary conditions. We also transform some classical integral inequalities and develop some new integral inequalities for convex functions in the context of qk-calculus. In the second part, we develop fractional quantum calculus in relation to a new qk-shifting operator and establish some existence and qk uniqueness results for initial and boundary value problems of impulsive fractional qk-difference equations.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

289

Publisher

World Scientific

Published Date

ISBN 10

9813141549

ISBN 13

9789813141544

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

By: Bashir Ahmad,Ahmed Alsaedi,Sotiris K. Ntouyas,Jessada Tariboon

Write a review Read reviews Take a Quiz Solve Book Puzzle

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

By: Bashir Ahmad,Ahmed Alsaedi,Sotiris K. Ntouyas,Jessada Tariboon

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

420

Publisher

Springer

Published Date

ISBN 10

3319521411

ISBN 13

9783319521411

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

By: Bashir Ahmad,Ahmed Alsaedi,Sotiris K. Ntouyas,Jessada Tariboon

Write a review Read reviews Take a Quiz Solve Book Puzzle

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

By: Bashir Ahmad,Ahmed Alsaedi,Sotiris K. Ntouyas,Jessada Tariboon

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

420

Publisher

Springer

Published Date

ISBN 10

3319521411

ISBN 13

9783319521411

Quantum Calculus

New Concepts, Impulsive IVPs and BVPs, Inequalities

By: Bashir Ahmad,Sotiris Ntouyas,Jessada Tariboon

Write a review Read reviews Take a Quiz Solve Book Puzzle

Quantum Calculus

New Concepts, Impulsive IVPs and BVPs, Inequalities

By: Bashir Ahmad,Sotiris Ntouyas,Jessada Tariboon

The main objective of this book is to extend the scope of the q-calculus based on the definition of q-derivative [Jackson (1910)] to make it applicable to dense domains. As a matter of fact, Jackson's definition of q-derivative fails to work for impulse points while this situation does not arise for impulsive equations on q-time scales as the domains consist of isolated points covering the case of consecutive points. In precise terms, we study quantum calculus on finite intervals. In the first part, we discuss the concepts of qk-derivative and qk-integral, and establish their basic properties. As applications, we study initial and boundary value problems of impulsive qk-difference equations and inclusions equipped with different kinds of boundary conditions. We also transform some classical integral inequalities and develop some new integral inequalities for convex functions in the context of qk-calculus. In the second part, we develop fractional quantum calculus in relation to a new qk-shifting operator and establish some existence and qk uniqueness results for initial and boundary value problems of impulsive fractional qk-difference equations.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

276

Publisher

Trends in Abstract and Applied Analysis

Published Date

ISBN 10

9813141522

ISBN 13

9789813141520

Book's by Jessada Tariboon

Quantum Calculus: New Concepts, Impulsive Ivps And Bvps, Inequalities

Quantum Calculus: New Concepts, Impulsive Ivps And Bvps, Inequalities

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Quantum Calculus

Quantum Calculus

Username

Password

Username

Password

Password again

Birthday

Email