Existence Results for a Fractional Equation with State-Dependent Delay
<p/> <p>We provide sufficient conditions for the existence of mild solutions for a class of abstract fractional integrodifferential equations with state-dependent delay. A concrete application in the theory of heat conduction in materials with memory is also given.</p>
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
|
| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/642013 |
| _version_ | 1818234287009300480 |
|---|---|
| author | Cuevas Claudio de Andrade Bruno dos Santos JoséPauloCarvalho |
| author_facet | Cuevas Claudio de Andrade Bruno dos Santos JoséPauloCarvalho |
| author_sort | Cuevas Claudio |
| collection | DOAJ |
| description | <p/> <p>We provide sufficient conditions for the existence of mild solutions for a class of abstract fractional integrodifferential equations with state-dependent delay. A concrete application in the theory of heat conduction in materials with memory is also given.</p> |
| first_indexed | 2024-12-12T11:35:40Z |
| format | Article |
| id | doaj.art-913c0f84102e48adb9477f5ce05f76d5 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T11:35:40Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-913c0f84102e48adb9477f5ce05f76d52022-12-22T00:25:39ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111642013Existence Results for a Fractional Equation with State-Dependent DelayCuevas Claudiode Andrade Brunodos Santos JoséPauloCarvalho<p/> <p>We provide sufficient conditions for the existence of mild solutions for a class of abstract fractional integrodifferential equations with state-dependent delay. A concrete application in the theory of heat conduction in materials with memory is also given.</p>http://www.advancesindifferenceequations.com/content/2011/642013 |
| spellingShingle | Cuevas Claudio de Andrade Bruno dos Santos JoséPauloCarvalho Existence Results for a Fractional Equation with State-Dependent Delay Advances in Difference Equations |
| title | Existence Results for a Fractional Equation with State-Dependent Delay |
| title_full | Existence Results for a Fractional Equation with State-Dependent Delay |
| title_fullStr | Existence Results for a Fractional Equation with State-Dependent Delay |
| title_full_unstemmed | Existence Results for a Fractional Equation with State-Dependent Delay |
| title_short | Existence Results for a Fractional Equation with State-Dependent Delay |
| title_sort | existence results for a fractional equation with state dependent delay |
| url | http://www.advancesindifferenceequations.com/content/2011/642013 |
| work_keys_str_mv | AT cuevasclaudio existenceresultsforafractionalequationwithstatedependentdelay AT deandradebruno existenceresultsforafractionalequationwithstatedependentdelay AT dossantosjos233paulocarvalho existenceresultsforafractionalequationwithstatedependentdelay |