03557nam 2200541 450 991081695100332120230814221701.03-11-055318-X10.1515/9783110553819(CKB)4100000001966066(DE-B1597)483280(OCoLC)1023551480(DE-B1597)9783110553819(Au-PeEL)EBL5156315(CaPaEBR)ebr11508849(MiAaPQ)EBC5156315(EXLCZ)99410000000196606620180228h20182018 uy 0engurcnu||||||||rdacontentrdamediardacarrierImplicit fractional differential and integral equations existence and stability /Said Abbas [and three others]Berlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2018.©20181 online resource (362 pages) illustrationsDe Gruyter Series in Nonlinear Analysis and Applications,0941-813X ;Volume 263-11-055313-9 3-11-055381-3 Includes bibliographical references and index.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 -- IndexThis 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 EquationsDe Gruyter series in nonlinear analysis and applications ;Volume 26.Differential equationsExistence theoremsDifferential equations.Existence theorems.515.35Abbas Saïd, 755596Abbas SaīdMiAaPQMiAaPQMiAaPQBOOK9910816951003321Implicit fractional differential and integral equations3986594UNINA