000 | 03880nam a22006375i 4500 | ||
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001 | 978-3-031-26928-8 | ||
003 | DE-He213 | ||
005 | 20240730163516.0 | ||
007 | cr nn 008mamaa | ||
008 | 230511s2023 sz | s |||| 0|eng d | ||
020 |
_a9783031269288 _9978-3-031-26928-8 |
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024 | 7 |
_a10.1007/978-3-031-26928-8 _2doi |
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_aMAT007000 _2bisacsh |
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_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. |
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300 |
_aXI, 180 p. 1 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
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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 |
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650 | 0 |
_aMathematics. _911584 |
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650 | 0 |
_aMathematical analysis. _911486 |
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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 |
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