LEADER 00736nam a2200229 i 4500 001 991004378136707536 005 20250428114650.0 008 250428s1994 it er 001 0 ita d 020 $a8817116351 040 $aBibl. Dip.le Aggr. Studi Umanistici - Sez. Filosofia$bita$cSocioculturale Scs 041 0 $aita 082 04$a305.5$223 100 1 $aPaglia, Vincenzo$0205949 245 10$aStoria dei poveri in Occidente /$cVincenzo Paglia 260 $aMilano :$bBiblioteca Universale Rizzoli,$c1994 300 $a449 p. ;$c20 cm 490 1 $aBUR. Supersaggi ;$v135 650 4$aPoveri$xStoria 830 0$aBUR.$pSupersaggi ;$v135 912 $a991004378136707536 996 $aStoria dei poveri in Occidente$91688088 997 $aUNISALENTO LEADER 04263nam 22006255 450 001 9910983032803321 005 20251030144634.0 010 $a9789819799510 010 $a9819799511 024 7 $a10.1007/978-981-97-9951-0 035 $a(CKB)37515829200041 035 $a(MiAaPQ)EBC31903245 035 $a(Au-PeEL)EBL31903245 035 $a(OCoLC)1499721620 035 $a(DE-He213)978-981-97-9951-0 035 $a(EXLCZ)9937515829200041 100 $a20250212d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractional Differential and Integral Operators with Respect to a Function $eTheory Methods and Applications /$fby Abdon Atangana, ?lknur Koca 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (441 pages) 225 1 $aIndustrial and Applied Mathematics,$x2364-6845 311 08$a9789819799503 311 08$a9819799503 327 $aHistory of differential and integral calculus.-Global derivatives, definitions and properties -- Integral operators, definitions and properties -- Inequalities related to global fractional derivatives -- Inequalities associated to Integrals -- Existence and Uniqueness of IVP with global differentiation on via Picard iteration -- Existence and uniqueness via Carathéodory approach -- Existence and uniqueness analysis of nonlocal global differential equations with expectation approach -- Chaplygin?s method for global differential equations -- Numerical analysis of IVP with classical global derivative.-Numerical analysis of IVP with Riemann-Liouville global derivative -- Numerical analysis of IVP with Caputo-Fabrizio global derivative -- Numerical analysis of IVP with Atangana-Baleanu global derivative -- Examples and applications of global fractional differential equations. 330 $aThis book explores the fundamental concepts of derivatives and integrals in calculus, extending their classical definitions to more advanced forms such as fractional derivatives and integrals. The derivative, which measures a function's rate of change, is paired with its counterpart, the integral, used for calculating areas and volumes. Together, they form the backbone of differential and integral equations, widely applied in science, technology, and engineering. However, discrepancies between mathematical models and experimental data led to the development of extended integral forms, such as the Riemann?Stieltjes integral and fractional integrals, which integrate functions with respect to another function or involve convolutions with kernels. These extensions also gave rise to new types of derivatives, leading to fractional derivatives and integrals with respect to another function. While there has been limited theoretical exploration in recent years, this book aims to bridge that gap. It provides a comprehensive theoretical framework covering inequalities, nonlinear ordinary differential equations, numerical approximations, and their applications. Additionally, the book delves into the existence and uniqueness of solutions for nonlinear ordinary differential equations involving these advanced derivatives, as well as the development of numerical techniques for solving them. 410 0$aIndustrial and Applied Mathematics,$x2364-6845 606 $aDifferential equations 606 $aMathematical analysis 606 $aDifferential Equations 606 $aAnalysis 606 $aEquacions diferencials$2thub 606 $aAnàlisi matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aDifferential equations. 615 0$aMathematical analysis. 615 14$aDifferential Equations. 615 24$aAnalysis. 615 7$aEquacions diferencials 615 7$aAnàlisi matemàtica 676 $a515.35 700 $aAtangana$b Abdon$0782096 701 $aKoca$b ?lknur$01785449 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910983032803321 996 $aFractional Differential and Integral Operators with Respect to a Function$94316984 997 $aUNINA