New general integral transform via Atangana–Baleanu derivatives
Abstract The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and the associated fractional integral. It is shown that by applying specific conditio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03540-4 |
| _version_ | 1819066183920386048 |
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| author | M. Meddahi H. Jafari M. N. Ncube |
| author_facet | M. Meddahi H. Jafari M. N. Ncube |
| author_sort | M. Meddahi |
| collection | DOAJ |
| description | Abstract The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and the associated fractional integral. It is shown that by applying specific conditions on this integral transform, other integral transforms are deduced. We provide examples to reinforce the applicability of this new integral transform. |
| first_indexed | 2024-12-21T15:58:19Z |
| format | Article |
| id | doaj.art-78e90d345bf042deacc5a8dafe045515 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-21T15:58:19Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-78e90d345bf042deacc5a8dafe0455152022-12-21T18:58:02ZengSpringerOpenAdvances in Difference Equations1687-18472021-08-012021111410.1186/s13662-021-03540-4New general integral transform via Atangana–Baleanu derivativesM. Meddahi0H. Jafari1M. N. Ncube2Department of Mathematics, University of Hassiba BenboualiDepartment of Mathematics, University of MazandaranDepartment of Mathematical Sciences, University of South Africa, UNISA0003Abstract The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and the associated fractional integral. It is shown that by applying specific conditions on this integral transform, other integral transforms are deduced. We provide examples to reinforce the applicability of this new integral transform.https://doi.org/10.1186/s13662-021-03540-4Fractional derivativeLaplace transformMittag-Lefller functionAtangana–Baleanu derivativeFractional differential equation |
| spellingShingle | M. Meddahi H. Jafari M. N. Ncube New general integral transform via Atangana–Baleanu derivatives Advances in Difference Equations Fractional derivative Laplace transform Mittag-Lefller function Atangana–Baleanu derivative Fractional differential equation |
| title | New general integral transform via Atangana–Baleanu derivatives |
| title_full | New general integral transform via Atangana–Baleanu derivatives |
| title_fullStr | New general integral transform via Atangana–Baleanu derivatives |
| title_full_unstemmed | New general integral transform via Atangana–Baleanu derivatives |
| title_short | New general integral transform via Atangana–Baleanu derivatives |
| title_sort | new general integral transform via atangana baleanu derivatives |
| topic | Fractional derivative Laplace transform Mittag-Lefller function Atangana–Baleanu derivative Fractional differential equation |
| url | https://doi.org/10.1186/s13662-021-03540-4 |
| work_keys_str_mv | AT mmeddahi newgeneralintegraltransformviaatanganabaleanuderivatives AT hjafari newgeneralintegraltransformviaatanganabaleanuderivatives AT mnncube newgeneralintegraltransformviaatanganabaleanuderivatives |