Existence and Uniqueness Results for Φ-Caputo Implicit Fractional Pantograph Differential Equation With Generalized Anti-Periodic Boundary Condition
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Borisut, Piyachat | |
| dc.contributor.author | Demba, Musa Ahmed | |
| dc.contributor.author | Kumam, Wiyada | |
| dc.contributor.author | Ahmed, Idris | |
| dc.contributor.author | Kumam, Poom | |
| dc.date.accessioned | 2024-03-20T13:01:13Z | |
| dc.date.accessioned | 2025-09-18T13:25:58Z | |
| dc.date.available | 2024-03-20T13:01:13Z | |
| dc.date.available | 2025-09-18T13:25:58Z | |
| dc.date.issued | 2020 | |
| dc.description | Ahmed Demba, Musa/0000-0001-7169-1580; Ahmed, Idris/0000-0003-0901-1673 | en_US |
| dc.description.abstract | The present paper describes the implicit fractional pantograph differential equation in the context of generalized fractional derivative and anti-periodic conditions. We formulated the Green's function of the proposed problems. With the aid of a Green's function, we obtain an analogous integral equation of the proposed problems and demonstrate the existence and uniqueness of solutions using the techniques of the Schaefer and Banach fixed point theorems. Besides, some special cases that show the proposed problems extend the current ones in the literature are presented. Finally, two examples were given as an application to illustrate the results obtained. | en_US |
| dc.description.sponsorship | Petchra Pra Jom Klao Doctoral Scholarship for Ph.D. program of King Mongkut's University of Technology Thonburi (KMUTT); Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT; Rajamangala University of Technology Thanyaburi (RMUTTT) [NSF62D0604] | en_US |
| dc.description.sponsorship | Petchra Pra Jom Klao Doctoral Scholarship for Ph.D. program of King Mongkut's University of Technology Thonburi (KMUTT). The Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT. Rajamangala University of Technology Thanyaburi (RMUTTT) (Grant No. NSF62D0604). | en_US |
| dc.identifier.citation | Ahmed, Idris;...et.al. (2020). "Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition", Advances in Difference Equations, Vol.2020, No.1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-03008-x | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85091974687 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-03008-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12459 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Pantograph Differential Equation | en_US |
| dc.subject | Phi-Caputo Fractional Derivative | en_US |
| dc.subject | Anti-Periodic Condition | en_US |
| dc.subject | 34K20 | en_US |
| dc.subject | 34K37 | en_US |
| dc.subject | 32F18 | en_US |
| dc.title | Existence and Uniqueness Results for Φ-Caputo Implicit Fractional Pantograph Differential Equation With Generalized Anti-Periodic Boundary Condition | en_US |
| dc.title | Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ahmed Demba, Musa/0000-0001-7169-1580 | |
| gdc.author.id | Ahmed, Idris/0000-0003-0901-1673 | |
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| gdc.author.wosid | Ahmed, Idris/Aai-5264-2020 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Demba, Musa/Aaj-5708-2020 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
| gdc.author.wosid | Kumam, Wiyada/Aap-3656-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ahmed, Idris; Borisut, Piyachat; Demba, Musa Ahmed] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, 126 Pracha Uthit Rd, Bangkok 10140, Thailand; [Ahmed, Idris; Kumam, Poom; Borisut, Piyachat; Demba, Musa Ahmed] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Fixed Point Theory & Applicat Res Grp,Fixed Point, 126 Pracha Uthit Rd, Bangkok 10140, Thailand; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey; [Kumam, Poom; Abdeljawad, Thabet] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ Hosp, Dept Comp Sci & Informat Engn, Taichung 40402, Taiwan; [Kumam, Wiyada] Rajamangala Univ Technol Thanyaburi, Dept Math & Comp Sci, Program Appl Stat, Thanyaburi 12110, Pathumthani, Thailand | en_US |
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| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Evolutionary biology | |
| gdc.oaire.keywords | Pantograph differential equation | |
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| gdc.oaire.keywords | Uniqueness | |
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| gdc.oaire.keywords | pantograph differential equation | |
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| gdc.oaire.keywords | \(\Phi\)-Caputo fractional derivative | |
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| gdc.oaire.keywords | anti-periodic condition | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
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