03869nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001200172072001500184072002300199072001400222100008700236245013100323250001800454264006900472300004400541336002600585337002600611338003600637347002400673490006300697505017800760520175400938650002402692650003402716650003502750650002302785650003002808650002402838650002102862650003502883650002302918650003002941650004002971710003403011773002603045776003603071776003603107776003603143830007003179856004603249912001503295999001703310978-3-031-38200-0DE-He21320251030110811.0cr nn 008mamaa230816s2024    sz |    s    |||| 0|eng d  a97830313820009978-3-031-38200-07 a10.1007/978-3-031-38200-02doi 4aQA1-939 7aPB2bicssc 7aMAT0000002bisacsh 7aPB2thema1 aGeorgiev, Svetlin.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut96560810aBoundary Value Problemsh[electronic resource] :bAdvanced Fractional Dynamic Equations on Time Scales /cby Svetlin Georgiev.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aVIII, 147 p. 1 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSynthesis Lectures on Mathematics & Statistics,x1938-17510 aImpulsive Riemann-Liouville Fractional Dynamic Equations -- Boundary Value Problems for Caputo Fractional Dynamic Equations -- Impulsive Caputo Fractional Dynamic Equations.  aThis book explores boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. The author provides an introduction to each fractional dynamic equation before delving into the problems. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions. In addition, this book: Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines Explores boundary value problems for advanced fractional dynamic equations on arbitrary time scales Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales About the Author: Svetlin Georgiev, Ph.D., is an Assistant Professor in the Faculty of Mathematics and Informatics at Sofia University. He was previously affiliated with Sorbonne University. He is the author of several books, including Real Quaternion Calculus Handbook, Theory of Distributions, Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales, Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales, and Functional Dynamic Equations on Time Scales, published by Springer Nature. His current research interests include harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. 0aMathematics.965523 0aMathematical analysis.964178 0aDifferential equations.965609 0aDynamical systems. 0aSpecial functions.96561014aMathematics.96552324aAnalysis.96561124aDifferential Equations.96561224aDynamical Systems.24aSpecial Functions.96561324aApplications of Mathematics.9655292 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303138199708iPrinted edition:z978303138201708iPrinted edition:z9783031382024 0aSynthesis Lectures on Mathematics & Statistics,x1938-175196561440uhttps://doi.org/10.1007/978-3-031-38200-0  aZDB-2-SXSC  c56233d56233