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020 _a9783031269288
_9978-3-031-26928-8
024 7 _a10.1007/978-3-031-26928-8
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
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082 0 4 _a515.35
_223
100 1 _aBenchohra, Mouffak.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_978937
245 1 0 _aAdvanced Topics in Fractional Differential Equations
_h[electronic resource] :
_bA Fixed Point Approach /
_cby Mouffak Benchohra, Erdal Karapinar, Jamal Eddine Lazreg, Abdelkrim Salim.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2023.
300 _aXI, 180 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 _aIntroduction -- Preliminary Background -- Implicit Fractional Differential Equations -- Fractional Differential Equations with Instantaneous Impulses -- Fractional Differential Equations with Non-Instantaneous Impulses.
520 _aThis book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical and new fixed point theorems, associated with the measure of noncompactness in Banach spaces as well as several generalizations of the Gronwall's lemma, are employed as tools. The book is based on many years of research in this area, and provides suggestions for further study as well. The authors have included illustrations in order to support the readers' understanding of the concepts presented. · Includes illustrations in order to support readers understanding of the presented concepts · Approaches the topic of fractional differential equations while employing fixed point theorems as tools · Presents novel results, which build upon previous literature and many years of research by the authors.
650 0 _aDifferential equations.
_978938
650 0 _aMathematics.
_911584
650 0 _aMathematical analysis.
_911486
650 0 _aIntegral equations.
_99602
650 0 _aDifference equations.
_915445
650 0 _aFunctional equations.
_921109
650 0 _aFunctional analysis.
_912284
650 1 4 _aDifferential Equations.
_978939
650 2 4 _aMathematics.
_911584
650 2 4 _aAnalysis.
_931580
650 2 4 _aIntegral Equations.
_99602
650 2 4 _aDifference and Functional Equations.
_931579
650 2 4 _aFunctional Analysis.
_912284
700 1 _aKarapinar, Erdal.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_978940
700 1 _aLazreg, Jamal Eddine.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_978941
700 1 _aSalim, Abdelkrim.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_978942
710 2 _aSpringerLink (Online service)
_978943
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031269271
776 0 8 _iPrinted edition:
_z9783031269295
776 0 8 _iPrinted edition:
_z9783031269301
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_978944
856 4 0 _uhttps://doi.org/10.1007/978-3-031-26928-8
912 _aZDB-2-SXSC
942 _cEBK
999 _c84685
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