Implicit fractional differential and integral equations : existence and stability / / Said Abbas [and three others]

• Record Nr.: UNINA9910816951003321
• Autore: Abbas Saïd
• Pubbl/distr/stampa: Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2018; ©2018
• ISBN: 3-11-055318-X
• Descrizione fisica: 1 online resource (362 pages) : illustrations
• Collana: De Gruyter Series in Nonlinear Analysis and Applications, , 0941-813X ; ; Volume 26
• Disciplina: 515.35
• Soggetti: Differential equations; Existence theorems
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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
• Sommario/riassunto: 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