LEADER 03557nam 2200541 450 001 9910816951003321 005 20230814221701.0 010 $a3-11-055318-X 024 7 $a10.1515/9783110553819 035 $a(CKB)4100000001966066 035 $a(DE-B1597)483280 035 $a(OCoLC)1023551480 035 $a(DE-B1597)9783110553819 035 $a(Au-PeEL)EBL5156315 035 $a(CaPaEBR)ebr11508849 035 $a(MiAaPQ)EBC5156315 035 $a(EXLCZ)994100000001966066 100 $a20180228h20182018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 00$aImplicit fractional differential and integral equations $eexistence and stability /$fSaid Abbas [and three others] 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2018. 210 4$d©2018 215 $a1 online resource (362 pages) $cillustrations 225 1 $aDe Gruyter Series in Nonlinear Analysis and Applications,$x0941-813X ;$vVolume 26 311 $a3-11-055313-9 311 $a3-11-055381-3 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tPreface -- $tContents -- $tIntroduction -- $t1 Preliminary Background -- $t2 Nonlinear Implicit Fractional Differential Equations -- $t3 Impulsive Nonlinear Implicit Fractional Differential Equations -- $t4 Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations -- $t5 Boundary Value Problems for Impulsive NIFDE -- $t6 Integrable Solutions for Implicit Fractional Differential Equations -- $t7 Partial Hadamard Fractional Integral Equations and Inclusions -- $t8 Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions -- $t9 Hadamard-Stieltjes Fractional Integral Equations -- $t10 Ulam Stabilities for Random Hadamard Fractional Integral Equations -- $tBibliography -- $tIndex 330 $aThis book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. ContentsPreliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard-Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations 410 0$aDe Gruyter series in nonlinear analysis and applications ;$vVolume 26. 606 $aDifferential equations 606 $aExistence theorems 615 0$aDifferential equations. 615 0$aExistence theorems. 676 $a515.35 700 $aAbbas$b Saïd, $0755596 702 $aAbbas$b Sai?d 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910816951003321 996 $aImplicit fractional differential and integral equations$93986594 997 $aUNINA