Existence and Uniqueness Analysis for (k, ψ)-Hilfer and (k, ψ)-Caputo Sequential Fractional Differential Equations and Inclusions with Non-Separated Boundary Conditions Article Swipe
Furkan Erkan
,
Nuket Aykut Hamal
,
Sotiris K. Ntouyas
,
Jessada Tariboon
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3390/fractalfract9070437
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3390/fractalfract9070437
This paper investigates the existence and uniqueness of solutions to a class of sequential fractional differential equations and inclusions involving the (k,ψ)-Hilfer and (k,ψ)-Caputo derivatives under non-separated boundary conditions. By reformulating the problems into equivalent fixed-point systems, several classical fixed-point theorems, including those of Banach, Krasnosel’skii˘’s, Schaefer, and the Leray–Schauder alternative, are employed to derive rigorous results. The study is further extended to the multi-valued setting, where existence results are established for both convex- and nonconvex-valued multi-functions using appropriate fixed-point techniques. Numerical examples are provided to illustrate the applicability and effectiveness of the theoretical findings.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/fractalfract9070437
- OA Status
- gold
- Cited By
- 2
- References
- 28
- Related Works
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- OpenAlex ID
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https://openalex.org/W4412009373Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3390/fractalfract9070437Digital Object Identifier
- Title
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Existence and Uniqueness Analysis for (k, ψ)-Hilfer and (k, ψ)-Caputo Sequential Fractional Differential Equations and Inclusions with Non-Separated Boundary ConditionsWork title
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articleOpenAlex work type
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enPrimary language
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2025Year of publication
- Publication date
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2025-07-02Full publication date if available
- Authors
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Furkan Erkan, Nuket Aykut Hamal, Sotiris K. Ntouyas, Jessada TariboonList of authors in order
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https://doi.org/10.3390/fractalfract9070437Publisher landing page
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://doi.org/10.3390/fractalfract9070437Direct OA link when available
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Uniqueness, Mathematics, Mathematical analysis, Boundary value problem, Differential equation, Applied mathematicsTop concepts (fields/topics) attached by OpenAlex
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2Total citation count in OpenAlex
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2025: 2Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.reformulating | 30 |
| abstract_inverted_index.multi-functions | 76 |
| abstract_inverted_index.Leray–Schauder | 49 |
| abstract_inverted_index.nonconvex-valued | 75 |
| abstract_inverted_index.Krasnosel’skii˘’s, | 45 |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 95 |
| corresponding_author_ids | https://openalex.org/A5051443783 |
| countries_distinct_count | 3 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I82828225 |
| citation_normalized_percentile.value | 0.95006271 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |