Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations
<p>The holomorphic results for fractional differential operator formals have been established. The analytic continuation of these outcomes has been studied for the fractional differential formal</p><p><img src="/public/site/images/office/equ1.png" alt="" />...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2019-04-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1866 |
| _version_ | 1818290819999727616 |
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| author | Rabha W. Ibrahim Maslina Darus |
| author_facet | Rabha W. Ibrahim Maslina Darus |
| author_sort | Rabha W. Ibrahim |
| collection | DOAJ |
| description | <p>The holomorphic results for fractional differential operator formals have been established. The analytic continuation of these outcomes has been studied for the fractional differential formal</p><p><img src="/public/site/images/office/equ1.png" alt="" /></p><p>where U is the open unit disk. The benefit of such a problem is that a generalization of two significant problems: the Cauchy problem and the diffusion problem. Moreover, the analytic solution is given inside the open unit disk, this leads to discuss the solution geometrically. The upper bound of outcomes is determined by suggesting a majorant analytic function in U (for two functions characterized by a power series, a majorant is the summation of a power series with positive coefficients which are not less than the absolute values of the conforming coefficients of the assumed series). This technique is very useful in approximation theory.</p> |
| first_indexed | 2024-12-13T02:34:14Z |
| format | Article |
| id | doaj.art-ad0a39d9d3774a01b1d46b00d8d29648 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-13T02:34:14Z |
| publishDate | 2019-04-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-ad0a39d9d3774a01b1d46b00d8d296482022-12-22T00:02:26ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-04-01173396405378Existence of Time-Scale Class of Three Dimensional Fractional Differential EquationsRabha W. Ibrahim0Maslina Darusum<p>The holomorphic results for fractional differential operator formals have been established. The analytic continuation of these outcomes has been studied for the fractional differential formal</p><p><img src="/public/site/images/office/equ1.png" alt="" /></p><p>where U is the open unit disk. The benefit of such a problem is that a generalization of two significant problems: the Cauchy problem and the diffusion problem. Moreover, the analytic solution is given inside the open unit disk, this leads to discuss the solution geometrically. The upper bound of outcomes is determined by suggesting a majorant analytic function in U (for two functions characterized by a power series, a majorant is the summation of a power series with positive coefficients which are not less than the absolute values of the conforming coefficients of the assumed series). This technique is very useful in approximation theory.</p>http://www.etamaths.com/index.php/ijaa/article/view/1866 |
| spellingShingle | Rabha W. Ibrahim Maslina Darus Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations International Journal of Analysis and Applications |
| title | Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations |
| title_full | Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations |
| title_fullStr | Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations |
| title_full_unstemmed | Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations |
| title_short | Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations |
| title_sort | existence of time scale class of three dimensional fractional differential equations |
| url | http://www.etamaths.com/index.php/ijaa/article/view/1866 |
| work_keys_str_mv | AT rabhawibrahim existenceoftimescaleclassofthreedimensionalfractionaldifferentialequations AT maslinadarus existenceoftimescaleclassofthreedimensionalfractionaldifferentialequations |