Fractional Derivatives and Cauchy Problem for Differential Equations of Fractional Order
Editorial Note: This is a paper by M.M. Djrbashian and A.B. Nersesian of 1968, that was published in Russian. There is a constant interest to Djrbashian’s contributions to the topic of fractional calculus and theory of Mittag-Leffler function. Unfortunately, his works were published in Russian and t...
Gespeichert in:
| Veröffentlicht in: | Fractional calculus & applied analysis 2020-12, Vol.23 (6), p.1810-1836 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1836 |
|---|---|
| container_issue | 6 |
| container_start_page | 1810 |
| container_title | Fractional calculus & applied analysis |
| container_volume | 23 |
| creator | Dzherbashian, M. M. Nersesian, A. B. |
| description | Editorial Note: This is a paper by M.M. Djrbashian and A.B. Nersesian of 1968, that was published in Russian.
There is a constant interest to Djrbashian’s contributions to the topic of fractional calculus and theory of Mittag-Leffler function. Unfortunately, his works were published in Russian and thus, are not easy accessible and not enough popular. Therefore, we invited
S. Rogosin and M. Dubatovskaya
to prepare the survey paper in this same issue of “FCAA” and also to translate and edit the present paper in English. On behalf of Editorial Board and fractional calculus’ community, we express to them our thanks for this hard work, including also retyping, mentioning some typos, etc. |
| doi_str_mv | 10.1515/fca-2020-0090 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2476232676</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2476232676</sourcerecordid><originalsourceid>FETCH-LOGICAL-c357t-8dc104762d48e929a96610b467ff5cdc736811d00809f1e9278995cd6c43a0693</originalsourceid><addsrcrecordid>eNqFkM9LwzAUx4MoOOaO3gOeM_OraQNeZD9UGMyDgreQpcns6NotaSf9702toAfBd3kP8vl-38sXgGuCpyQhya0zGlFMMcJY4jMwIoxwRCnl518zQZgn_BJMQtjhWBkVWGYj8Lb02jRFXekSzq0vTropTjZAXeVwplvz3sFnX29Ku4eu9nBeOGe9rZoi8otjq3tpgLWDv3zWPrf-Clw4XQY7-e5j8LpcvMwe0Wr98DS7XyHDkrRBWW4I5qmgOc-spFJLIQjecJE6l5jcpExkhOTxYCwdiUSaSRkfhOFMYyHZGNwMvgdfH1sbGrWrWx_PCIr2voyKVEQKDZTxdQjeOnXwxV77ThGs-vxUzE_1-ak-v8jfDfyHLhsb_7P1bReHH_M_dZQJkpFePh3kIa6ptv_q2CdJKIQx</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2476232676</pqid></control><display><type>article</type><title>Fractional Derivatives and Cauchy Problem for Differential Equations of Fractional Order</title><source>Alma/SFX Local Collection</source><source>SpringerLink Journals - AutoHoldings</source><creator>Dzherbashian, M. M. ; Nersesian, A. B.</creator><creatorcontrib>Dzherbashian, M. M. ; Nersesian, A. B.</creatorcontrib><description>Editorial Note: This is a paper by M.M. Djrbashian and A.B. Nersesian of 1968, that was published in Russian.
There is a constant interest to Djrbashian’s contributions to the topic of fractional calculus and theory of Mittag-Leffler function. Unfortunately, his works were published in Russian and thus, are not easy accessible and not enough popular. Therefore, we invited
S. Rogosin and M. Dubatovskaya
to prepare the survey paper in this same issue of “FCAA” and also to translate and edit the present paper in English. On behalf of Editorial Board and fractional calculus’ community, we express to them our thanks for this hard work, including also retyping, mentioning some typos, etc.</description><identifier>ISSN: 1311-0454</identifier><identifier>EISSN: 1314-2224</identifier><identifier>DOI: 10.1515/fca-2020-0090</identifier><language>eng</language><publisher>Warsaw: Versita</publisher><subject>Abstract Harmonic Analysis ; Analysis ; Archive Paper ; Cauchy problems ; Differential equations ; Fractional calculus ; Functional Analysis ; Integral Transforms ; Mathematics ; Operational Calculus ; Operators (mathematics)</subject><ispartof>Fractional calculus & applied analysis, 2020-12, Vol.23 (6), p.1810-1836</ispartof><rights>Diogenes Co., Sofia 2020</rights><rights>2020 Diogenes Co., Sofia</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c357t-8dc104762d48e929a96610b467ff5cdc736811d00809f1e9278995cd6c43a0693</citedby><cites>FETCH-LOGICAL-c357t-8dc104762d48e929a96610b467ff5cdc736811d00809f1e9278995cd6c43a0693</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1515/fca-2020-0090$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1515/fca-2020-0090$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Dzherbashian, M. M.</creatorcontrib><creatorcontrib>Nersesian, A. B.</creatorcontrib><title>Fractional Derivatives and Cauchy Problem for Differential Equations of Fractional Order</title><title>Fractional calculus & applied analysis</title><addtitle>Fract Calc Appl Anal</addtitle><description>Editorial Note: This is a paper by M.M. Djrbashian and A.B. Nersesian of 1968, that was published in Russian.
There is a constant interest to Djrbashian’s contributions to the topic of fractional calculus and theory of Mittag-Leffler function. Unfortunately, his works were published in Russian and thus, are not easy accessible and not enough popular. Therefore, we invited
S. Rogosin and M. Dubatovskaya
to prepare the survey paper in this same issue of “FCAA” and also to translate and edit the present paper in English. On behalf of Editorial Board and fractional calculus’ community, we express to them our thanks for this hard work, including also retyping, mentioning some typos, etc.</description><subject>Abstract Harmonic Analysis</subject><subject>Analysis</subject><subject>Archive Paper</subject><subject>Cauchy problems</subject><subject>Differential equations</subject><subject>Fractional calculus</subject><subject>Functional Analysis</subject><subject>Integral Transforms</subject><subject>Mathematics</subject><subject>Operational Calculus</subject><subject>Operators (mathematics)</subject><issn>1311-0454</issn><issn>1314-2224</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNqFkM9LwzAUx4MoOOaO3gOeM_OraQNeZD9UGMyDgreQpcns6NotaSf9702toAfBd3kP8vl-38sXgGuCpyQhya0zGlFMMcJY4jMwIoxwRCnl518zQZgn_BJMQtjhWBkVWGYj8Lb02jRFXekSzq0vTropTjZAXeVwplvz3sFnX29Ku4eu9nBeOGe9rZoi8otjq3tpgLWDv3zWPrf-Clw4XQY7-e5j8LpcvMwe0Wr98DS7XyHDkrRBWW4I5qmgOc-spFJLIQjecJE6l5jcpExkhOTxYCwdiUSaSRkfhOFMYyHZGNwMvgdfH1sbGrWrWx_PCIr2voyKVEQKDZTxdQjeOnXwxV77ThGs-vxUzE_1-ak-v8jfDfyHLhsb_7P1bReHH_M_dZQJkpFePh3kIa6ptv_q2CdJKIQx</recordid><startdate>20201201</startdate><enddate>20201201</enddate><creator>Dzherbashian, M. M.</creator><creator>Nersesian, A. B.</creator><general>Versita</general><general>De Gruyter</general><general>Walter de Gruyter GmbH</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20201201</creationdate><title>Fractional Derivatives and Cauchy Problem for Differential Equations of Fractional Order</title><author>Dzherbashian, M. M. ; Nersesian, A. B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c357t-8dc104762d48e929a96610b467ff5cdc736811d00809f1e9278995cd6c43a0693</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Abstract Harmonic Analysis</topic><topic>Analysis</topic><topic>Archive Paper</topic><topic>Cauchy problems</topic><topic>Differential equations</topic><topic>Fractional calculus</topic><topic>Functional Analysis</topic><topic>Integral Transforms</topic><topic>Mathematics</topic><topic>Operational Calculus</topic><topic>Operators (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dzherbashian, M. M.</creatorcontrib><creatorcontrib>Nersesian, A. B.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research 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>Fractional calculus & applied analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dzherbashian, M. M.</au><au>Nersesian, A. B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractional Derivatives and Cauchy Problem for Differential Equations of Fractional Order</atitle><jtitle>Fractional calculus & applied analysis</jtitle><stitle>Fract Calc Appl Anal</stitle><date>2020-12-01</date><risdate>2020</risdate><volume>23</volume><issue>6</issue><spage>1810</spage><epage>1836</epage><pages>1810-1836</pages><issn>1311-0454</issn><eissn>1314-2224</eissn><abstract>Editorial Note: This is a paper by M.M. Djrbashian and A.B. Nersesian of 1968, that was published in Russian.
There is a constant interest to Djrbashian’s contributions to the topic of fractional calculus and theory of Mittag-Leffler function. Unfortunately, his works were published in Russian and thus, are not easy accessible and not enough popular. Therefore, we invited
S. Rogosin and M. Dubatovskaya
to prepare the survey paper in this same issue of “FCAA” and also to translate and edit the present paper in English. On behalf of Editorial Board and fractional calculus’ community, we express to them our thanks for this hard work, including also retyping, mentioning some typos, etc.</abstract><cop>Warsaw</cop><pub>Versita</pub><doi>10.1515/fca-2020-0090</doi><tpages>27</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1311-0454 |
| ispartof | Fractional calculus & applied analysis, 2020-12, Vol.23 (6), p.1810-1836 |
| issn | 1311-0454 1314-2224 |
| language | eng |
| recordid | cdi_proquest_journals_2476232676 |
| source | Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings |
| subjects | Abstract Harmonic Analysis Analysis Archive Paper Cauchy problems Differential equations Fractional calculus Functional Analysis Integral Transforms Mathematics Operational Calculus Operators (mathematics) |
| title | Fractional Derivatives and Cauchy Problem for Differential Equations of Fractional Order |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-03T17%3A26%3A19IST&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=Fractional%20Derivatives%20and%20Cauchy%20Problem%20for%20Differential%20Equations%20of%20Fractional%20Order&rft.jtitle=Fractional%20calculus%20&%20applied%20analysis&rft.au=Dzherbashian,%20M.%20M.&rft.date=2020-12-01&rft.volume=23&rft.issue=6&rft.spage=1810&rft.epage=1836&rft.pages=1810-1836&rft.issn=1311-0454&rft.eissn=1314-2224&rft_id=info:doi/10.1515/fca-2020-0090&rft_dat=%3Cproquest_cross%3E2476232676%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=2476232676&rft_id=info:pmid/&rfr_iscdi=true |