Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type Article Swipe
Sina Etemad
,
Ivanka Stamova
,
Sotiris K. Ntouyas
,
Jessada Tariboon
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/fractalfract8080443
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/fractalfract8080443
We aim to investigate the stability property for the certain linear and nonlinear fractional q-difference equations in the Ulam–Hyers and Ulam–Hyers–Rassias sense. To achieve this goal, we prove that three types of the linear q-difference equations of the q-Caputo-like type are Ulam–Hyers stable by using the quantum Laplace transform and quantum Mittag–Leffler function. Moreover, after proving the existence property for a nonlinear Cauchy q-difference initial value problem, we use the same quantum Laplace transform and the q-Gronwall inequality to show that it is generalized Ulam–Hyers–Rassias stable.
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- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/fractalfract8080443
- OA Status
- gold
- Cited By
- 5
- References
- 41
- Related Works
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- OpenAlex ID
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https://openalex.org/W4401071885Canonical identifier for this work in OpenAlex
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https://doi.org/10.3390/fractalfract8080443Digital Object Identifier
- Title
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Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like TypeWork title
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articleOpenAlex work type
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enPrimary language
- Publication year
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2024Year of publication
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2024-07-28Full publication date if available
- Authors
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Sina Etemad, Ivanka Stamova, Sotiris K. Ntouyas, Jessada TariboonList of authors in order
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https://doi.org/10.3390/fractalfract8080443Publisher landing page
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goldOpen access status per OpenAlex
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https://doi.org/10.3390/fractalfract8080443Direct OA link when available
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Laplace transform, Stability (learning theory), Mathematics, Type (biology), Quantum, Mathematical analysis, Applied mathematics, Pure mathematics, Physics, Quantum mechanics, Computer science, Geology, Machine learning, PaleontologyTop concepts (fields/topics) attached by OpenAlex
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5Total citation count in OpenAlex
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2025: 5Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.by | 43 |
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| abstract_inverted_index.it | 81 |
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| abstract_inverted_index.to | 2, 78 |
| abstract_inverted_index.we | 26, 67 |
| abstract_inverted_index.aim | 1 |
| abstract_inverted_index.and | 11, 19, 49, 74 |
| abstract_inverted_index.are | 40 |
| abstract_inverted_index.for | 7, 59 |
| abstract_inverted_index.the | 4, 8, 17, 32, 37, 45, 56, 69, 75 |
| abstract_inverted_index.use | 68 |
| abstract_inverted_index.same | 70 |
| abstract_inverted_index.show | 79 |
| abstract_inverted_index.that | 28, 80 |
| abstract_inverted_index.this | 24 |
| abstract_inverted_index.type | 39 |
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| abstract_inverted_index.goal, | 25 |
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| abstract_inverted_index.Cauchy | 62 |
| abstract_inverted_index.linear | 10, 33 |
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| abstract_inverted_index.Laplace | 47, 72 |
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| abstract_inverted_index.quantum | 46, 50, 71 |
| abstract_inverted_index.stable. | 85 |
| abstract_inverted_index.problem, | 66 |
| abstract_inverted_index.property | 6, 58 |
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| abstract_inverted_index.equations | 15, 35 |
| abstract_inverted_index.existence | 57 |
| abstract_inverted_index.function. | 52 |
| abstract_inverted_index.nonlinear | 12, 61 |
| abstract_inverted_index.stability | 5 |
| abstract_inverted_index.transform | 48, 73 |
| abstract_inverted_index.fractional | 13 |
| abstract_inverted_index.inequality | 77 |
| abstract_inverted_index.q-Gronwall | 76 |
| abstract_inverted_index.generalized | 83 |
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| abstract_inverted_index.Ulam–Hyers | 18, 41 |
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| abstract_inverted_index.Mittag–Leffler | 51 |
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| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 98 |
| corresponding_author_ids | https://openalex.org/A5083462945, https://openalex.org/A5051443783 |
| countries_distinct_count | 4 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I45438204, https://openalex.org/I82828225 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/10 |
| sustainable_development_goals[0].score | 0.41999998688697815 |
| sustainable_development_goals[0].display_name | Reduced inequalities |
| citation_normalized_percentile.value | 0.97163613 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |