Existence of an Asymptotically Almost Periodic Solution for a Fractional Semilinear Problem
In this research, we consider that the fractional semilinear problem in sequentially compact Banach space , , with initial condition , , where is a generator of evolution system and is a given function satisfying some assumptions, has an asymptotically almost periodic solution. So, we consider a fra...
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| Veröffentlicht in: | Russian mathematics 2024, Vol.68 (9), p.38-46 |
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| container_title | Russian mathematics |
| container_volume | 68 |
| creator | Maghsoodi, S. Neamaty, A. |
| description | In this research, we consider that the fractional semilinear problem in sequentially compact Banach space
,
,
with initial condition
,
, where
is a generator of evolution system
and
is a given function satisfying some assumptions, has an asymptotically almost periodic solution. So, we consider a fractional semilinear integro-differential equation and we examine that this equation has an asymptotically almost periodic solution. |
| doi_str_mv | 10.3103/S1066369X24700580 |
| format | Article |
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,
,
with initial condition
,
, where
is a generator of evolution system
and
is a given function satisfying some assumptions, has an asymptotically almost periodic solution. So, we consider a fractional semilinear integro-differential equation and we examine that this equation has an asymptotically almost periodic solution.</description><identifier>ISSN: 1066-369X</identifier><identifier>EISSN: 1934-810X</identifier><identifier>DOI: 10.3103/S1066369X24700580</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Banach spaces ; Differential equations ; Mathematics ; Mathematics and Statistics</subject><ispartof>Russian mathematics, 2024, Vol.68 (9), p.38-46</ispartof><rights>Allerton Press, Inc. 2024 ISSN 1066-369X, Russian Mathematics, 2024, Vol. 68, No. 9, pp. 38–46. © Allerton Press, Inc., 2024.</rights><rights>Copyright Springer Nature B.V. 2024</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.3103/S1066369X24700580$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.3103/S1066369X24700580$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Maghsoodi, S.</creatorcontrib><creatorcontrib>Neamaty, A.</creatorcontrib><title>Existence of an Asymptotically Almost Periodic Solution for a Fractional Semilinear Problem</title><title>Russian mathematics</title><addtitle>Russ Math</addtitle><description>In this research, we consider that the fractional semilinear problem in sequentially compact Banach space
,
,
with initial condition
,
, where
is a generator of evolution system
and
is a given function satisfying some assumptions, has an asymptotically almost periodic solution. So, we consider a fractional semilinear integro-differential equation and we examine that this equation has an asymptotically almost periodic solution.</description><subject>Banach spaces</subject><subject>Differential equations</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1066-369X</issn><issn>1934-810X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNplkE9LAzEUxIMoWKsfwFvA82r-rNnNsZRWhYKF9lDwsLxk30pKdrMmW7Df3i0VPHh685gfwzCE3HP2KDmTTxvOlJJK70ReMPZcsgsy4VrmWcnZ7nLUo52d_Gtyk9J-RJTI1YR8LL5dGrCzSENDoaOzdGz7IQzOgvdHOvNtSANdY3ShdpZugj8MLnS0CZECXUawpxc83WDrvOsQIl3HYDy2t-SqAZ_w7vdOyXa52M5fs9X7y9t8tsr6grNMoc61hLqutTBWY8OlFVCgArBMWm5kKa0yqixVrowpDAAWBnnJrARrrJySh3NsH8PXAdNQ7cMhjpVSJXleaCWEFiMlzlTqo-s-Mf5RnFWnDat_G8ofR2VmKQ</recordid><startdate>2024</startdate><enddate>2024</enddate><creator>Maghsoodi, S.</creator><creator>Neamaty, A.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope/></search><sort><creationdate>2024</creationdate><title>Existence of an Asymptotically Almost Periodic Solution for a Fractional Semilinear Problem</title><author>Maghsoodi, S. ; Neamaty, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p710-6e9493addd92bc9ef13c2a7e6aac03c1b383c6b688646bb7baae7be180c3acbc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Banach spaces</topic><topic>Differential equations</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Maghsoodi, S.</creatorcontrib><creatorcontrib>Neamaty, A.</creatorcontrib><jtitle>Russian mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Maghsoodi, S.</au><au>Neamaty, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Existence of an Asymptotically Almost Periodic Solution for a Fractional Semilinear Problem</atitle><jtitle>Russian mathematics</jtitle><stitle>Russ Math</stitle><date>2024</date><risdate>2024</risdate><volume>68</volume><issue>9</issue><spage>38</spage><epage>46</epage><pages>38-46</pages><issn>1066-369X</issn><eissn>1934-810X</eissn><abstract>In this research, we consider that the fractional semilinear problem in sequentially compact Banach space
,
,
with initial condition
,
, where
is a generator of evolution system
and
is a given function satisfying some assumptions, has an asymptotically almost periodic solution. So, we consider a fractional semilinear integro-differential equation and we examine that this equation has an asymptotically almost periodic solution.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.3103/S1066369X24700580</doi><tpages>9</tpages></addata></record> |
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| ispartof | Russian mathematics, 2024, Vol.68 (9), p.38-46 |
| issn | 1066-369X 1934-810X |
| language | eng |
| recordid | cdi_proquest_journals_3147962292 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Banach spaces Differential equations Mathematics Mathematics and Statistics |
| title | Existence of an Asymptotically Almost Periodic Solution for a Fractional Semilinear Problem |
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