Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order $\mu\in(2,\,3)
In this article, we establish the existence of positive solution for the following Hadamard fractional singular boundary value problem \begin{align*} {}^{H}D_{a^{+}}^{\,\mu}x(t)+f(t,x(t))&=0,\hspace{0.4cm}t\in(a,\,b),\hspace{0.4cm}0
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| creator | Asif, Naseer Ahmad |
| description | In this article, we establish the existence of positive solution for the
following Hadamard fractional singular boundary value problem \begin{align*}
{}^{H}D_{a^{+}}^{\,\mu}x(t)+f(t,x(t))&=0,\hspace{0.4cm}t\in(a,\,b),\hspace{0.4cm}0 |
| doi_str_mv | 10.48550/arxiv.2108.13127 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2108_13127</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2108_13127</sourcerecordid><originalsourceid>FETCH-LOGICAL-a677-4d3424c17b4e5dfbb72f6df06725c6e3dce78414fe27ce0bedfb3c0359e75493</originalsourceid><addsrcrecordid>eNotj01Lw0AURWfjQqo_wJVv4UKhifOVTLrUYluh0ELEVSBMZt7IwCQj06bYf29bXV24XA73EHLHaC6roqDPOv34Q84ZrXImGFfXxGzjzu_9AaGOYdz7OICLCTSstNW9ThYWSZtzrwPUfvgag07wGsfB6nSETx1GhG2KXcAeooNNspjgoenHxg-PfNpMxdMNuXI67PD2PyekXrx9zFfZerN8n7-sM10qlUkrJJeGqU5iYV3XKe5K62ipeGFKFNagqiSTDrkySDs8bYShopihKuRMTMj9H_Ui2X4nf7p_bM-y7UVW_AL7B09a</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order $\mu\in(2,\,3)</title><source>arXiv.org</source><creator>Asif, Naseer Ahmad</creator><creatorcontrib>Asif, Naseer Ahmad</creatorcontrib><description><![CDATA[In this article, we establish the existence of positive solution for the
following Hadamard fractional singular boundary value problem \begin{align*}
{}^{H}D_{a^{+}}^{\,\mu}x(t)+f(t,x(t))&=0,\hspace{0.4cm}t\in(a,\,b),\hspace{0.4cm}0<a<b<\infty,\hspace{0.4cm}2<\mu<3,\\
x(a)=a\,x'(a)=x(b)&=0, \end{align*} where
$f:(a,\,b)\times(0,\infty)\rightarrow(0,\infty)$ is continuous and singular at
$t=a$, $t=b$ and $x=0$. Further, ^{H}D_{a^{+}}^{\,\mu}$ is Hadamard
fractional derivative of order $\mu$.]]></description><identifier>DOI: 10.48550/arxiv.2108.13127</identifier><language>eng</language><subject>Mathematics - Classical Analysis and ODEs</subject><creationdate>2021-08</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2108.13127$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2108.13127$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Asif, Naseer Ahmad</creatorcontrib><title>Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order $\mu\in(2,\,3)</title><description><![CDATA[In this article, we establish the existence of positive solution for the
following Hadamard fractional singular boundary value problem \begin{align*}
{}^{H}D_{a^{+}}^{\,\mu}x(t)+f(t,x(t))&=0,\hspace{0.4cm}t\in(a,\,b),\hspace{0.4cm}0<a<b<\infty,\hspace{0.4cm}2<\mu<3,\\
x(a)=a\,x'(a)=x(b)&=0, \end{align*} where
$f:(a,\,b)\times(0,\infty)\rightarrow(0,\infty)$ is continuous and singular at
$t=a$, $t=b$ and $x=0$. Further, ^{H}D_{a^{+}}^{\,\mu}$ is Hadamard
fractional derivative of order $\mu$.]]></description><subject>Mathematics - Classical Analysis and ODEs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj01Lw0AURWfjQqo_wJVv4UKhifOVTLrUYluh0ELEVSBMZt7IwCQj06bYf29bXV24XA73EHLHaC6roqDPOv34Q84ZrXImGFfXxGzjzu_9AaGOYdz7OICLCTSstNW9ThYWSZtzrwPUfvgag07wGsfB6nSETx1GhG2KXcAeooNNspjgoenHxg-PfNpMxdMNuXI67PD2PyekXrx9zFfZerN8n7-sM10qlUkrJJeGqU5iYV3XKe5K62ipeGFKFNagqiSTDrkySDs8bYShopihKuRMTMj9H_Ui2X4nf7p_bM-y7UVW_AL7B09a</recordid><startdate>20210830</startdate><enddate>20210830</enddate><creator>Asif, Naseer Ahmad</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20210830</creationdate><title>Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order $\mu\in(2,\,3)</title><author>Asif, Naseer Ahmad</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a677-4d3424c17b4e5dfbb72f6df06725c6e3dce78414fe27ce0bedfb3c0359e75493</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mathematics - Classical Analysis and ODEs</topic><toplevel>online_resources</toplevel><creatorcontrib>Asif, Naseer Ahmad</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Asif, Naseer Ahmad</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order $\mu\in(2,\,3)</atitle><date>2021-08-30</date><risdate>2021</risdate><abstract><![CDATA[In this article, we establish the existence of positive solution for the
following Hadamard fractional singular boundary value problem \begin{align*}
{}^{H}D_{a^{+}}^{\,\mu}x(t)+f(t,x(t))&=0,\hspace{0.4cm}t\in(a,\,b),\hspace{0.4cm}0<a<b<\infty,\hspace{0.4cm}2<\mu<3,\\
x(a)=a\,x'(a)=x(b)&=0, \end{align*} where
$f:(a,\,b)\times(0,\infty)\rightarrow(0,\infty)$ is continuous and singular at
$t=a$, $t=b$ and $x=0$. Further, ^{H}D_{a^{+}}^{\,\mu}$ is Hadamard
fractional derivative of order $\mu$.]]></abstract><doi>10.48550/arxiv.2108.13127</doi><oa>free_for_read</oa></addata></record> |
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| title | Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order $\mu\in(2,\,3) |
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