Some Integral Transform Results for Hilfer–Prabhakar Fractional Derivative and Analysis of Free-Electron Laser Equation
In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed. Furthermore, we investigate the solution of a fractional free-electron laser equation and fractional Cauchy problems invol...
Gespeichert in:
| Veröffentlicht in: | Iranian journal of science (Online) 2023-08, Vol.47 (4), p.1333-1342 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1342 |
|---|---|
| container_issue | 4 |
| container_start_page | 1333 |
| container_title | Iranian journal of science (Online) |
| container_volume | 47 |
| creator | Dubey, Ved Prakash Singh, Jagdev Dubey, Sarvesh Kumar, Devendra |
| description | In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed. Furthermore, we investigate the solution of a fractional free-electron laser equation and fractional Cauchy problems involving the HPFD via the Natural transform. The solution of Cauchy problems modeled with Hilfer–Prabhakar fractional derivatives and its regularized Caputo version is achieved in the form of generalized three parameter Mittag–Leffler function by operations of Natural and Fourier transforms. |
| doi_str_mv | 10.1007/s40995-023-01493-9 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2855096027</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2855096027</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-d3ad299ab808431a4a1e11dd645e5be842d9bbf96b96ce32d5709f7fb71a84b53</originalsourceid><addsrcrecordid>eNo1kM1OwkAUhSdGEwnyAq4mcV2dn07buyQIQkKiUVxPbttbLZYWZloSdr6Db-iTWERX9yfnnJx8jF1LcSuFiO98KABMIJQOhAxBB3DGBirWMkikgPP_XYC5ZCPv10IIrSSATgbs8NJsiC_qlt4cVnzlsPZF4zb8mXxXtZ73B5-XVUHu-_PryWH6jh_o-Mxh1pZN3XvuyZV7bMs9caxzPu5_B1963hS9iiiYVpS1rqn5Ej05Pt11eHResYsCK0-jvzlkr7PpajIPlo8Pi8l4GWRaQhvkGnMFgGkiklBLDFGSlHkehYZMSkmockjTAqIUooy0yk0soIiLNJaYhKnRQ3Zzyt26ZteRb-266Vxf0luVGCMgEj2fIVMnVeYa7x0VduvKDbqDlcIeKdsTZdtTtr-ULegfdFlyJA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2855096027</pqid></control><display><type>article</type><title>Some Integral Transform Results for Hilfer–Prabhakar Fractional Derivative and Analysis of Free-Electron Laser Equation</title><source>Alma/SFX Local Collection</source><source>SpringerLink Journals - AutoHoldings</source><creator>Dubey, Ved Prakash ; Singh, Jagdev ; Dubey, Sarvesh ; Kumar, Devendra</creator><creatorcontrib>Dubey, Ved Prakash ; Singh, Jagdev ; Dubey, Sarvesh ; Kumar, Devendra</creatorcontrib><description>In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed. Furthermore, we investigate the solution of a fractional free-electron laser equation and fractional Cauchy problems involving the HPFD via the Natural transform. The solution of Cauchy problems modeled with Hilfer–Prabhakar fractional derivatives and its regularized Caputo version is achieved in the form of generalized three parameter Mittag–Leffler function by operations of Natural and Fourier transforms.</description><identifier>ISSN: 2731-8095</identifier><identifier>ISSN: 1028-6276</identifier><identifier>EISSN: 2731-8109</identifier><identifier>EISSN: 2364-1819</identifier><identifier>DOI: 10.1007/s40995-023-01493-9</identifier><language>eng</language><publisher>Shiraz: Springer Nature B.V</publisher><subject>Derivatives ; Fourier transforms ; Free electron lasers ; Integral transforms ; Integrals</subject><ispartof>Iranian journal of science (Online), 2023-08, Vol.47 (4), p.1333-1342</ispartof><rights>The Author(s), under exclusive licence to Shiraz University 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-d3ad299ab808431a4a1e11dd645e5be842d9bbf96b96ce32d5709f7fb71a84b53</citedby><cites>FETCH-LOGICAL-c319t-d3ad299ab808431a4a1e11dd645e5be842d9bbf96b96ce32d5709f7fb71a84b53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Dubey, Ved Prakash</creatorcontrib><creatorcontrib>Singh, Jagdev</creatorcontrib><creatorcontrib>Dubey, Sarvesh</creatorcontrib><creatorcontrib>Kumar, Devendra</creatorcontrib><title>Some Integral Transform Results for Hilfer–Prabhakar Fractional Derivative and Analysis of Free-Electron Laser Equation</title><title>Iranian journal of science (Online)</title><description>In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed. Furthermore, we investigate the solution of a fractional free-electron laser equation and fractional Cauchy problems involving the HPFD via the Natural transform. The solution of Cauchy problems modeled with Hilfer–Prabhakar fractional derivatives and its regularized Caputo version is achieved in the form of generalized three parameter Mittag–Leffler function by operations of Natural and Fourier transforms.</description><subject>Derivatives</subject><subject>Fourier transforms</subject><subject>Free electron lasers</subject><subject>Integral transforms</subject><subject>Integrals</subject><issn>2731-8095</issn><issn>1028-6276</issn><issn>2731-8109</issn><issn>2364-1819</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNo1kM1OwkAUhSdGEwnyAq4mcV2dn07buyQIQkKiUVxPbttbLZYWZloSdr6Db-iTWERX9yfnnJx8jF1LcSuFiO98KABMIJQOhAxBB3DGBirWMkikgPP_XYC5ZCPv10IIrSSATgbs8NJsiC_qlt4cVnzlsPZF4zb8mXxXtZ73B5-XVUHu-_PryWH6jh_o-Mxh1pZN3XvuyZV7bMs9caxzPu5_B1963hS9iiiYVpS1rqn5Ej05Pt11eHResYsCK0-jvzlkr7PpajIPlo8Pi8l4GWRaQhvkGnMFgGkiklBLDFGSlHkehYZMSkmockjTAqIUooy0yk0soIiLNJaYhKnRQ3Zzyt26ZteRb-266Vxf0luVGCMgEj2fIVMnVeYa7x0VduvKDbqDlcIeKdsTZdtTtr-ULegfdFlyJA</recordid><startdate>20230801</startdate><enddate>20230801</enddate><creator>Dubey, Ved Prakash</creator><creator>Singh, Jagdev</creator><creator>Dubey, Sarvesh</creator><creator>Kumar, Devendra</creator><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20230801</creationdate><title>Some Integral Transform Results for Hilfer–Prabhakar Fractional Derivative and Analysis of Free-Electron Laser Equation</title><author>Dubey, Ved Prakash ; Singh, Jagdev ; Dubey, Sarvesh ; Kumar, Devendra</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-d3ad299ab808431a4a1e11dd645e5be842d9bbf96b96ce32d5709f7fb71a84b53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Derivatives</topic><topic>Fourier transforms</topic><topic>Free electron lasers</topic><topic>Integral transforms</topic><topic>Integrals</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dubey, Ved Prakash</creatorcontrib><creatorcontrib>Singh, Jagdev</creatorcontrib><creatorcontrib>Dubey, Sarvesh</creatorcontrib><creatorcontrib>Kumar, Devendra</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Iranian journal of science (Online)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dubey, Ved Prakash</au><au>Singh, Jagdev</au><au>Dubey, Sarvesh</au><au>Kumar, Devendra</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Some Integral Transform Results for Hilfer–Prabhakar Fractional Derivative and Analysis of Free-Electron Laser Equation</atitle><jtitle>Iranian journal of science (Online)</jtitle><date>2023-08-01</date><risdate>2023</risdate><volume>47</volume><issue>4</issue><spage>1333</spage><epage>1342</epage><pages>1333-1342</pages><issn>2731-8095</issn><issn>1028-6276</issn><eissn>2731-8109</eissn><eissn>2364-1819</eissn><abstract>In this paper, Natural transforms of Prabhakar integral, Hilfer–Prabhakar (HP) fractional derivative and regularized Caputo form of HP fractional derivative (HPFD) are computed. Furthermore, we investigate the solution of a fractional free-electron laser equation and fractional Cauchy problems involving the HPFD via the Natural transform. The solution of Cauchy problems modeled with Hilfer–Prabhakar fractional derivatives and its regularized Caputo version is achieved in the form of generalized three parameter Mittag–Leffler function by operations of Natural and Fourier transforms.</abstract><cop>Shiraz</cop><pub>Springer Nature B.V</pub><doi>10.1007/s40995-023-01493-9</doi><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2731-8095 |
| ispartof | Iranian journal of science (Online), 2023-08, Vol.47 (4), p.1333-1342 |
| issn | 2731-8095 1028-6276 2731-8109 2364-1819 |
| language | eng |
| recordid | cdi_proquest_journals_2855096027 |
| source | Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings |
| subjects | Derivatives Fourier transforms Free electron lasers Integral transforms Integrals |
| title | Some Integral Transform Results for Hilfer–Prabhakar Fractional Derivative and Analysis of Free-Electron Laser Equation |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T22%3A37%3A25IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Some%20Integral%20Transform%20Results%20for%20Hilfer%E2%80%93Prabhakar%20Fractional%20Derivative%20and%20Analysis%20of%20Free-Electron%20Laser%20Equation&rft.jtitle=Iranian%20journal%20of%20science%20(Online)&rft.au=Dubey,%20Ved%20Prakash&rft.date=2023-08-01&rft.volume=47&rft.issue=4&rft.spage=1333&rft.epage=1342&rft.pages=1333-1342&rft.issn=2731-8095&rft.eissn=2731-8109&rft_id=info:doi/10.1007/s40995-023-01493-9&rft_dat=%3Cproquest_cross%3E2855096027%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2855096027&rft_id=info:pmid/&rfr_iscdi=true |