Implicit Fractional Differential and Integral Equations : : Existence and Stability / / Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
• VerfasserIn: Abbas, Saïd,; Benchohra, Mouffak,; Graef, John R.,; Henderson, Johnny,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2018]; ©2018
• Year of Publication: 2018
• Language: English
• Series: De Gruyter Series in Nonlinear Analysis and Applications , 26
• Physical Description: 1 online resource (XXIII, 336 p.)
• Other title: Frontmatter --; Preface --; Contents --; Introduction --; 1 Preliminary Background --; 2 Nonlinear Implicit Fractional Differential Equations --; 3 Impulsive Nonlinear Implicit Fractional Differential Equations --; 4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations --; 5 Boundary Value Problems for Impulsive NIFDE --; 6 Integrable Solutions for Implicit Fractional Differential Equations --; 7 Partial Hadamard Fractional Integral Equations and Inclusions --; 8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions --; 9 Hadamard–Stieltjes Fractional Integral Equations --; 10 Ulam Stabilities for Random Hadamard Fractional Integral Equations --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110553819; 9783110762488; 9783110719550; 9783110647099; 9783110604252; 9783110603255; 9783110604191; 9783110603194
• ISSN: 0941-813X
• DOI: 10.1515/9783110553819
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Saïd Abbas, Mouffak Benchohra, John R. Graef, Johnny Henderson.

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. ContentsPreliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard–Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations