Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations
In this paper, we establish several new weakly singular integral inequalities that generalize several previously known ones. Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional differential equations.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1682942 |
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| _version_ | 1832554842239795200 |
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| author | Abdellatif Ben Makhlouf Djalal Boucenna A.M. Nagy Lassaad Mchiri |
| author_facet | Abdellatif Ben Makhlouf Djalal Boucenna A.M. Nagy Lassaad Mchiri |
| author_sort | Abdellatif Ben Makhlouf |
| collection | DOAJ |
| description | In this paper, we establish several new weakly singular integral inequalities that generalize several previously known ones. Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional differential equations. |
| format | Article |
| id | doaj-art-6e52116b88cc4655be739f9cc8d0e5fe |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6e52116b88cc4655be739f9cc8d0e5fe2025-02-03T05:50:17ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1682942Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential EquationsAbdellatif Ben Makhlouf0Djalal Boucenna1A.M. Nagy2Lassaad Mchiri3Department of MathematicsHigh School of Technological TeachingFaculty of ScienceDepartment of MathematicsIn this paper, we establish several new weakly singular integral inequalities that generalize several previously known ones. Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional differential equations.http://dx.doi.org/10.1155/2022/1682942 |
| spellingShingle | Abdellatif Ben Makhlouf Djalal Boucenna A.M. Nagy Lassaad Mchiri Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations Journal of Mathematics |
| title | Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations |
| title_full | Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations |
| title_fullStr | Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations |
| title_full_unstemmed | Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations |
| title_short | Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations |
| title_sort | some weakly singular integral inequalities and their applications to tempered fractional differential equations |
| url | http://dx.doi.org/10.1155/2022/1682942 |
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