Stability Analysis for Boundary Value Problems With Generalized Nonlocal Condition Via Hilfer-Katugampola Fractional Derivative
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Borisut, Piyachat | |
| dc.contributor.author | Sitthithakerngkiet, Kanokwan | |
| dc.contributor.author | Ibrahim, Alhassan | |
| dc.contributor.author | Ahmed, Idris | |
| dc.date.accessioned | 2023-01-12T06:50:26Z | |
| dc.date.accessioned | 2025-09-18T14:09:54Z | |
| dc.date.available | 2023-01-12T06:50:26Z | |
| dc.date.available | 2025-09-18T14:09:54Z | |
| dc.date.issued | 2020 | |
| dc.description | Kumam, Poom/0000-0002-5463-4581 | en_US |
| dc.description.abstract | In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville-Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boundary condition. Besides, we derive the relation between the proposed problem and the Volterra integral equation. Using the concepts of Banach and Krasnoselskii's fixed point theorems, we investigate the existence and uniqueness of solutions to the proposed problem. Finally, we present two examples to clarify the abstract result. | en_US |
| dc.description.sponsorship | King Mongkut's University of Technology Thonburi (KMUTT); Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT; King Mongkut's University of Technology North Bangkok [KMUTNB-63-KNOW-033] | 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. Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT. King Mongkut's University of Technology North Bangkok, Contract no. KMUTNB-63-KNOW-033. | en_US |
| dc.identifier.citation | Ahmed, Idris...et al. (2020). "Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative", Advances in Difference Equations, Vol. 2020, No.1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02681-2 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85084971302 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02681-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13525 | |
| 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 | Hilfer Fractional Derivative | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Volterra Integral Equation | en_US |
| dc.subject | Nonlocal Integral Condition | en_US |
| dc.title | Stability Analysis for Boundary Value Problems With Generalized Nonlocal Condition Via Hilfer-Katugampola Fractional Derivative | en_US |
| dc.title | Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Sitthithakerngkiet, Kanokwan/Abf-1127-2022 | |
| gdc.author.wosid | Ahmed, Idris/Aai-5264-2020 | |
| gdc.author.wosid | Ibrahim, Alhassan/Hgu-2680-2022 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ahmed, Idris; Borisut, Piyachat] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, KMUTTFixed Point Res Lab, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok, Thailand; [Ahmed, Idris; Kumam, Poom; Borisut, Piyachat] King Mongkuts Univ Technol Thonburi KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, Sci Lab Bldg, Bangkok, Thailand; [Ahmed, Idris] Sule Lamido Univ, Dept Math & Comp Sci, Kafin Hausa, Nigeria; [Kumam, Poom] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Sitthithakerngkiet, Kanokwan] King Mongkuts Univ Technol North Bangkok KMUTNB, Fac Appl Sci, Dept Math, Intelligent & Nonlinear Dynam Innovat Res Ctr, Bangkok, Thailand; [Ibrahim, Alhassan] Bayero Univ Kano, Sch Continuing Educ, Kano, Nigeria | en_US |
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