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020 _a9783031381966
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024 7 _a10.1007/978-3-031-38196-6
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
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072 7 _aPB
_2thema
100 1 _aGeorgiev, Svetlin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_965601
245 1 0 _aBoundary Value Problems
_h[electronic resource] :
_bEssential Fractional Dynamic Equations on Time Scales /
_cby Svetlin Georgiev.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aVIII, 163 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _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.
520 _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.
650 0 _aMathematics.
_965523
650 0 _aMathematical analysis.
_964178
650 0 _aDifferential equations.
_965602
650 0 _aDynamical systems.
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 0 _aSpecial functions.
_965603
650 1 4 _aMathematics.
_965523
650 2 4 _aAnalysis.
_965604
650 2 4 _aDifferential Equations.
_965605
650 2 4 _aDynamical Systems.
650 2 4 _aApplied Dynamical Systems.
_965530
650 2 4 _aSpecial Functions.
_965606
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031381959
776 0 8 _iPrinted edition:
_z9783031381973
776 0 8 _iPrinted edition:
_z9783031381980
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_965607
856 4 0 _uhttps://doi.org/10.1007/978-3-031-38196-6
912 _aZDB-2-SXSC
999 _c56232
_d56232