Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition.
Saved in:
| Title: | Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition. |
|---|---|
| Authors: | Hung, Ngo Ngoc1 (AUTHOR) ngongochung@iuh.edu.vn, Youssri, Youssri Hassan1 (AUTHOR) youssri@cu.edu.eg |
| Source: | Journal of Applied Mathematics. 5/13/2026, Vol. 2026, p1-10. 10p. |
| Subjects: | Fractional differential equations, Boundary value problems, Fixed point theory, Existence theorems, Volterra equations |
| Abstract: | This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed. Sufficient conditions are established for the existence of at least one positive solution, and additional criteria are derived for multiple positive solutions. An example is presented to illustrate the applicability of the main results. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| FullText | Links: – Type: pdflink Text: Availability: 1 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 193710290 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hung%2C+Ngo+Ngoc%22">Hung, Ngo Ngoc</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ngongochung@iuh.edu.vn</i><br /><searchLink fieldCode="AR" term="%22Youssri%2C+Youssri+Hassan%22">Youssri, Youssri Hassan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> youssri@cu.edu.eg</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mathematics%22">Journal of Applied Mathematics</searchLink>. 5/13/2026, Vol. 2026, p1-10. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fractional+differential+equations%22">Fractional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink><br /><searchLink fieldCode="DE" term="%22Existence+theorems%22">Existence theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Volterra+equations%22">Volterra equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed. Sufficient conditions are established for the existence of at least one positive solution, and additional criteria are derived for multiple positive solutions. An example is presented to illustrate the applicability of the main results. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193710290 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1155/jama/8876854 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1 Subjects: – SubjectFull: Fractional differential equations Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Fixed point theory Type: general – SubjectFull: Existence theorems Type: general – SubjectFull: Volterra equations Type: general Titles: – TitleFull: Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hung, Ngo Ngoc – PersonEntity: Name: NameFull: Youssri, Youssri Hassan IsPartOfRelationships: – BibEntity: Dates: – D: 13 M: 05 Text: 5/13/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1110757X Numbering: – Type: volume Value: 2026 Titles: – TitleFull: Journal of Applied Mathematics Type: main |
| ResultId | 1 |
