Note on generalized Mittag-Leffler function

The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann–Liouville fractional integration operator has been obtained.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SpringerPlus 2016-05, Vol.5 (1), p.683-683, Article 683
Hauptverfasser: Desai, Rachana, Salehbhai, I. A., Shukla, A. K.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 683
container_issue 1
container_start_page 683
container_title SpringerPlus
container_volume 5
creator Desai, Rachana
Salehbhai, I. A.
Shukla, A. K.
description The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann–Liouville fractional integration operator has been obtained.
doi_str_mv 10.1186/s40064-016-2299-x
format Article
fullrecord <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4899392</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>4272851401</sourcerecordid><originalsourceid>FETCH-LOGICAL-c503t-a339644376c8a94dec50df8f279b44ab8559eff1e7a13ad73fd9c9b46f5e9b2f3</originalsourceid><addsrcrecordid>eNqNkU9LAzEQxYMoKtoP4EUKXgRZzSTZ7OYiSPEfVL3oOaS7k7qyTTTZFfXTm9IqVRDMJSHvNy-TeYTsAT0GKOVJFJRKkVGQGWNKZW9rZJuB4hmUFNZXzltkEOMTTUsWIAq6SbZYwXOqoNwmR7e-w6F3wyk6DKZtPrAe3jRdZ6bZGK1tMQxt76qu8W6XbFjTRhws9x3ycHF-P7rKxneX16OzcVbllHeZ4VxJIXghq9IoUWO6rm1pWaEmQphJmecqOQMWBripC25rVSVJ2hzVhFm-Q04Xvs_9ZIZ1ha5Lnenn0MxMeNfeNPqn4ppHPfWvWpRKccWSweHSIPiXHmOnZ02ssG2NQ99HnaZSSgAq6X9QKigDmLse_EKffB9cmkSihFRccpknChZUFXyMAe1330D1PDi9CE6n4PQ8OP2WavZXP_xd8RVTAtgCiElyUwwrT__p-gmD76LW</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1846936365</pqid></control><display><type>article</type><title>Note on generalized Mittag-Leffler function</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><source>PubMed Central Open Access</source><source>PubMed Central</source><source>Springer Nature OA/Free Journals</source><source>Free Full-Text Journals in Chemistry</source><creator>Desai, Rachana ; Salehbhai, I. A. ; Shukla, A. K.</creator><creatorcontrib>Desai, Rachana ; Salehbhai, I. A. ; Shukla, A. K.</creatorcontrib><description>The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann–Liouville fractional integration operator has been obtained.</description><identifier>ISSN: 2193-1801</identifier><identifier>EISSN: 2193-1801</identifier><identifier>DOI: 10.1186/s40064-016-2299-x</identifier><identifier>PMID: 27350918</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Humanities and Social Sciences ; Mathematics (Theoretical) ; multidisciplinary ; Science ; Science (multidisciplinary)</subject><ispartof>SpringerPlus, 2016-05, Vol.5 (1), p.683-683, Article 683</ispartof><rights>The Author(s). 2016</rights><rights>SpringerPlus is a copyright of Springer, 2016.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c503t-a339644376c8a94dec50df8f279b44ab8559eff1e7a13ad73fd9c9b46f5e9b2f3</citedby><cites>FETCH-LOGICAL-c503t-a339644376c8a94dec50df8f279b44ab8559eff1e7a13ad73fd9c9b46f5e9b2f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4899392/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4899392/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,315,728,781,785,886,27928,27929,41124,42193,51580,53795,53797</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/27350918$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Desai, Rachana</creatorcontrib><creatorcontrib>Salehbhai, I. A.</creatorcontrib><creatorcontrib>Shukla, A. K.</creatorcontrib><title>Note on generalized Mittag-Leffler function</title><title>SpringerPlus</title><addtitle>SpringerPlus</addtitle><addtitle>Springerplus</addtitle><description>The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann–Liouville fractional integration operator has been obtained.</description><subject>Humanities and Social Sciences</subject><subject>Mathematics (Theoretical)</subject><subject>multidisciplinary</subject><subject>Science</subject><subject>Science (multidisciplinary)</subject><issn>2193-1801</issn><issn>2193-1801</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqNkU9LAzEQxYMoKtoP4EUKXgRZzSTZ7OYiSPEfVL3oOaS7k7qyTTTZFfXTm9IqVRDMJSHvNy-TeYTsAT0GKOVJFJRKkVGQGWNKZW9rZJuB4hmUFNZXzltkEOMTTUsWIAq6SbZYwXOqoNwmR7e-w6F3wyk6DKZtPrAe3jRdZ6bZGK1tMQxt76qu8W6XbFjTRhws9x3ycHF-P7rKxneX16OzcVbllHeZ4VxJIXghq9IoUWO6rm1pWaEmQphJmecqOQMWBripC25rVSVJ2hzVhFm-Q04Xvs_9ZIZ1ha5Lnenn0MxMeNfeNPqn4ppHPfWvWpRKccWSweHSIPiXHmOnZ02ssG2NQ99HnaZSSgAq6X9QKigDmLse_EKffB9cmkSihFRccpknChZUFXyMAe1330D1PDi9CE6n4PQ8OP2WavZXP_xd8RVTAtgCiElyUwwrT__p-gmD76LW</recordid><startdate>20160521</startdate><enddate>20160521</enddate><creator>Desai, Rachana</creator><creator>Salehbhai, I. A.</creator><creator>Shukla, A. K.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7X2</scope><scope>8FE</scope><scope>8FG</scope><scope>8FH</scope><scope>8FK</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KB.</scope><scope>L6V</scope><scope>LK8</scope><scope>M0K</scope><scope>M7P</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PCBAR</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>PYCSY</scope><scope>7X8</scope><scope>7QO</scope><scope>8FD</scope><scope>FR3</scope><scope>P64</scope><scope>5PM</scope></search><sort><creationdate>20160521</creationdate><title>Note on generalized Mittag-Leffler function</title><author>Desai, Rachana ; Salehbhai, I. A. ; Shukla, A. K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c503t-a339644376c8a94dec50df8f279b44ab8559eff1e7a13ad73fd9c9b46f5e9b2f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Humanities and Social Sciences</topic><topic>Mathematics (Theoretical)</topic><topic>multidisciplinary</topic><topic>Science</topic><topic>Science (multidisciplinary)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Desai, Rachana</creatorcontrib><creatorcontrib>Salehbhai, I. A.</creatorcontrib><creatorcontrib>Shukla, A. K.</creatorcontrib><collection>Springer Nature OA/Free Journals</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Agricultural Science Collection</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>Agricultural &amp; Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric &amp; Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Biological Science Collection</collection><collection>Agricultural Science Database</collection><collection>Biological Science Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Earth, Atmospheric &amp; Aquatic Science Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Environmental Science Collection</collection><collection>MEDLINE - Academic</collection><collection>Biotechnology Research Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>SpringerPlus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Desai, Rachana</au><au>Salehbhai, I. A.</au><au>Shukla, A. K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Note on generalized Mittag-Leffler function</atitle><jtitle>SpringerPlus</jtitle><stitle>SpringerPlus</stitle><addtitle>Springerplus</addtitle><date>2016-05-21</date><risdate>2016</risdate><volume>5</volume><issue>1</issue><spage>683</spage><epage>683</epage><pages>683-683</pages><artnum>683</artnum><issn>2193-1801</issn><eissn>2193-1801</eissn><abstract>The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann–Liouville fractional integration operator has been obtained.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><pmid>27350918</pmid><doi>10.1186/s40064-016-2299-x</doi><tpages>1</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 2193-1801
ispartof SpringerPlus, 2016-05, Vol.5 (1), p.683-683, Article 683
issn 2193-1801
2193-1801
language eng
recordid cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4899392
source Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; PubMed Central Open Access; PubMed Central; Springer Nature OA/Free Journals; Free Full-Text Journals in Chemistry
subjects Humanities and Social Sciences
Mathematics (Theoretical)
multidisciplinary
Science
Science (multidisciplinary)
title Note on generalized Mittag-Leffler function
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-16T18%3A13%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Note%20on%20generalized%20Mittag-Leffler%20function&rft.jtitle=SpringerPlus&rft.au=Desai,%20Rachana&rft.date=2016-05-21&rft.volume=5&rft.issue=1&rft.spage=683&rft.epage=683&rft.pages=683-683&rft.artnum=683&rft.issn=2193-1801&rft.eissn=2193-1801&rft_id=info:doi/10.1186/s40064-016-2299-x&rft_dat=%3Cproquest_pubme%3E4272851401%3C/proquest_pubme%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1846936365&rft_id=info:pmid/27350918&rfr_iscdi=true