Generalization of fractional Laplace transform for higher order and its application Article Swipe
In this paper, we first introduce the conformable fractional Laplace transform. Then, we give its generalization for higher-order. Finally, as an application, we solve a non-homogeneous conformable fractional differential equation with variable coefficients and a system of fractional differential equations.
Related Topics
Concepts
Conformable matrix
Laplace transform
Generalization
Laplace transform applied to differential equations
Fractional calculus
Mathematics
Green's function for the three-variable Laplace equation
Order (exchange)
Applied mathematics
Two-sided Laplace transform
Homogeneous
Mellin transform
Variable (mathematics)
Inverse Laplace transform
Mathematical analysis
Differential equation
Fractional Fourier transform
Fourier transform
Combinatorics
Physics
Economics
Quantum mechanics
Finance
Fourier analysis
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.58205/jiamcs.v1i1.2
- http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/download/v1i1_2/v1i1_2
- OA Status
- diamond
- Cited By
- 7
- References
- 10
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4323345444
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4323345444Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.58205/jiamcs.v1i1.2Digital Object Identifier
- Title
-
Generalization of fractional Laplace transform for higher order and its applicationWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-12-30Full publication date if available
- Authors
-
Ahmed BouchenakList of authors in order
- Landing page
-
https://doi.org/10.58205/jiamcs.v1i1.2Publisher landing page
- PDF URL
-
https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/download/v1i1_2/v1i1_2Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/download/v1i1_2/v1i1_2Direct OA link when available
- Concepts
-
Conformable matrix, Laplace transform, Generalization, Laplace transform applied to differential equations, Fractional calculus, Mathematics, Green's function for the three-variable Laplace equation, Order (exchange), Applied mathematics, Two-sided Laplace transform, Homogeneous, Mellin transform, Variable (mathematics), Inverse Laplace transform, Mathematical analysis, Differential equation, Fractional Fourier transform, Fourier transform, Combinatorics, Physics, Economics, Quantum mechanics, Finance, Fourier analysisTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
7Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 2, 2024: 2, 2023: 1, 2022: 2Per-year citation counts (last 5 years)
- References (count)
-
10Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 89 |
| corresponding_author_ids | https://openalex.org/A5009639855 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 1 |
| corresponding_institution_ids | https://openalex.org/I114972647 |
| citation_normalized_percentile.value | 0.63672183 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |