A Coupled Nonlinear System of Integro-Differential Equations Using Modified Abc Operator
| dc.authorid | Azim, Mohammad Athar/0009-0003-5342-1765 | |
| dc.authorid | Khan, Hasib/0000-0002-7186-8435 | |
| dc.authorid | Tunc, Osman/0000-0003-2965-4561 | |
| dc.authorscopusid | 55258301900 | |
| dc.authorscopusid | 13105947900 | |
| dc.authorscopusid | 58099551300 | |
| dc.authorscopusid | 57195988705 | |
| dc.authorscopusid | 14830463700 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorwosid | Tunç, Osman/Gre-9544-2022 | |
| dc.authorwosid | Alzabut, Jehad/T-8075-2018 | |
| dc.authorwosid | Khan, Hasib/Afj-9925-2022 | |
| dc.contributor.author | Khan, Hasib | |
| dc.contributor.author | Alzabut, Jehad | |
| dc.contributor.author | Almutairi, D. K. | |
| dc.contributor.author | Alqurashi, Wafa khalaf | |
| dc.contributor.author | Pinelas, Sandra | |
| dc.contributor.author | Tunc, Osman | |
| dc.contributor.author | Azim, Mohammad athar | |
| dc.date.accessioned | 2025-05-10T17:29:26Z | |
| dc.date.available | 2025-05-10T17:29:26Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Khan, Hasib; Alzabut, Jehad] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia; [Khan, Hasib] Shaheed Benazir Bhutto Univ, Dept Math, Khyber Pakhtunkhwa 18000, Pakistan; [Alzabut, Jehad] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkiye; [Alzabut, Jehad] Asia Int Univ, Ctr Res & Innovat, Yangiobod MFY, Gijduvon St,House 74, Bukhara, Uzbekistan; [Almutairi, D. K.] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia; [Alqurashi, Wafa khalaf] Umm Al Qura Univ, Fac Sci, Dept Math, Mecca, Saudi Arabia; [Pinelas, Sandra] Acad Mil, Dept Ciencias Exatas & Engn, P-2720113 Amadora, Portugal; [Pinelas, Sandra] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal; [Tunc, Osman] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programming, TR-65080 Van, Turkiye; [Azim, Mohammad athar] Prince Sultan Univ, Coll Humanities & Sci CHS, Preparatory Year Program, Riyadh 11586, Saudi Arabia | en_US |
| dc.description | Azim, Mohammad Athar/0009-0003-5342-1765; Khan, Hasib/0000-0002-7186-8435; Tunc, Osman/0000-0003-2965-4561 | en_US |
| dc.description.abstract | This paper explores the necessary conditions required for the solutions of an integro-differential system of n-fractional differential equations (n-FDEs) in the modified-ABC case of derivative with initial conditions. The presumed problem is a linearly perturbed system. Some classical fixed point theorems are utilized to derive the solution existence criteria. Additionally, a numerical methodology utilizing Lagrange's interpolation polynomial is developed and implemented in a dynamical framework of a power system for practical applications. In addition, we investigate the properties of Hyers-Ulam's stability and uniqueness. The findings are evaluated using graphical methods to assess the precision and suitability of the approaches | en_US |
| dc.description.sponsorship | Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT- Fundacao para a Ciencia e a Tecnologia) [UIDB/04106/2020, UIDP/04106/2020] | en_US |
| dc.description.sponsorship | H. K., J. A. and M. A. A. would like to thank Prince Sultan University for their financial support through TAS research lab. D. K. A. extends appreciation to the Deanship of Postgraduate Studies and Scientific Research at Majmaah University for her help. Sandra Pinelas was supported by the Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT- Fundacao para a Ciencia e a Tecnologia), references UIDB/04106/2020 and UIDP/04106/2020, https://doi.org/10.54499/UIDB/04106/2020 and https://doi.org/10.54499/UIDP/04106/2020. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1142/S0218348X2540105X | |
| dc.identifier.issn | 0218-348X | |
| dc.identifier.issn | 1793-6543 | |
| dc.identifier.scopus | 2-s2.0-105001577794 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218348X2540105X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/12347 | |
| dc.identifier.wos | WOS:001455324700001 | |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Linearly Perturbed System | en_US |
| dc.subject | Modified Abc-Operator | en_US |
| dc.subject | Solutions And Properties | en_US |
| dc.subject | Applications Of Fixed Point Theorems | en_US |
| dc.subject | Power System | en_US |
| dc.subject | Numerical Simulations | en_US |
| dc.subject | Fractal | en_US |
| dc.subject | Fractal Dimension | en_US |
| dc.subject | Fractional | en_US |
| dc.title | A Coupled Nonlinear System of Integro-Differential Equations Using Modified Abc Operator | en_US |
| dc.type | Article | en_US |