LEADER 03753nam 22005295 450 001 9910254291503321 005 20220414235455.0 010 $a3-319-52141-1 024 7 $a10.1007/978-3-319-52141-1 035 $a(CKB)3710000001109631 035 $a(DE-He213)978-3-319-52141-1 035 $a(MiAaPQ)EBC4825456 035 $a(PPN)199769931 035 $a(EXLCZ)993710000001109631 100 $a20170316d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHadamard-type fractional differential equations, inclusions and inequalities /$fby Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas, Jessada Tariboon 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XIII, 414 p. 1 illus.) 311 $a3-319-52140-3 320 $aIncludes bibliographical references and index. 327 $a1. Preliminaries -- 2. IVP and BVP for Hadamard-type differential equations and inclusions -- 3. Nonlocal Hadamard fractional boundary value problems -- 4. Fractional integro-differential equations and inclusions -- 5. Fractional differential equations with Hadamard fractional integral conditions -- 6. Hadamard type coupled systems of fractional differential equations -- 7. Nonlinear Langevin equation and inclusions of Hadamard-Caputo type -- 8. Impulsive multi-order Hadamard fractional differential equations -- 9. IVP and BVP for Hybrid Hadamard Fractional Differential Equations and Inclusions -- 10. Positive solutions for Hadamard fractional differential equations on infinite domain -- 11. Fractional integral inequalities via Hadamard's fractional integral -- References -- Index. 330 $aThis 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. 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aNumerical analysis 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aNumerical analysis. 615 14$aAnalysis. 615 24$aNumerical Analysis. 676 $a515 700 $aAhmad$b Bashir$4aut$4http://id.loc.gov/vocabulary/relators/aut$0955711 702 $aAlsaedi$b Ahmed$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aNtouyas$b Sotiris K$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTariboon$b Jessada$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910254291503321 996 $aHadamard-Type Fractional Differential Equations, Inclusions and Inequalities$92162751 997 $aUNINA