03369nam a22005655i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001200172072001500184072002300199072001400222100008700236245013200323250001800455264006900473300004400542336002600586337002600612338003600638347002400674490006300698505022100761520113600982650002402118650003402142650003502176650002302211650002102234650003102255650003002286650002402316650002102340650003502361650002302396650003802419650003002457710003402487773002602521776003602547776003602583776003602619830007002655856004602725912001502771999001702786978-3-031-38196-6DE-He21320251030110811.0cr nn 008mamaa230816s2024    sz |    s    |||| 0|eng d  a97830313819669978-3-031-38196-67 a10.1007/978-3-031-38196-62doi 4aQA1-939 7aPB2bicssc 7aMAT0000002bisacsh 7aPB2thema1 aGeorgiev, Svetlin.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut96560110aBoundary Value Problemsh[electronic resource] :bEssential Fractional Dynamic Equations on Time Scales /cby Svetlin Georgiev.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aVIII, 163 p. 1 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSynthesis Lectures on Mathematics & Statistics,x1938-17510 aThe Laplace Transform on Time Scales -- Generalized Convolutions on Time Scales -- Elements of Fractional Dynamic Calculus on Time Scales -- Boundary Value Problems for Riemann-Liouville Fractional Dynamic Equations.  aThis book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an introductory overview of fractional dynamic calculus on time scales. The book also introduces the Laplace transform on arbitrary time scales, including the bilateral Laplace transform, the Laplace transform of power series, and a deduction of an inverse formula. The author then discusses the generalized convolutions of functions on arbitrary time scales and the shifting problem for existence of solutions. The book moves on to cover boundary value problems and initial boundary value problems for some classes Riemann-Liouville fractional dynamic equations. In addition, this book: Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales Provides an introduction to boundary value problems for fractional dynamic equations on arbitrary time scales. 0aMathematics.965523 0aMathematical analysis.964178 0aDifferential equations.965602 0aDynamical systems. 0aDynamics.965524 0aNonlinear theories.965525 0aSpecial functions.96560314aMathematics.96552324aAnalysis.96560424aDifferential Equations.96560524aDynamical Systems.24aApplied Dynamical Systems.96553024aSpecial Functions.9656062 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303138195908iPrinted edition:z978303138197308iPrinted edition:z9783031381980 0aSynthesis Lectures on Mathematics & Statistics,x1938-175196560740uhttps://doi.org/10.1007/978-3-031-38196-6  aZDB-2-SXSC  c56232d56232