Existence of Solutions of Multi-Order Fractional Differential Equations
| dc.contributor.author | Bouchelaghem, F. | |
| dc.contributor.author | Boulares, H. | |
| dc.contributor.author | Ardjouni, A. | |
| dc.contributor.author | Jarad, F. | |
| dc.contributor.author | Abdeljawad, T. | |
| dc.contributor.author | Abdalla, B. | |
| dc.contributor.author | Shah, K. | |
| dc.date.accessioned | 2025-05-13T11:57:07Z | |
| dc.date.available | 2025-05-13T11:57:07Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | Recently, the field of fractional calculus has garnered significant attention due to its wide range of applications across various disciplines in science and engineering. Numerous results have been derived using tools from numerical functional analysis and fixed point theory to address a variety of problems in this area. This study employs the Banach Fixed Point Theorem (BFPT) to establish the existence and uniqueness of solutions for Riemann–Liouville fractional differential equations (RLFDEs) involving multiple orders. Sufficient conditions for the existence of solutions to the problem under consideration have been provided. Furthermore, an illustrative example is presented to validate the theoretical findings. © 2025 | en_US |
| dc.description.sponsorship | Prince Sultan University, PSU; Texas Academy of Science, TAS | en_US |
| dc.identifier.doi | 10.1016/j.padiff.2025.101104 | |
| dc.identifier.issn | 2666-8181 | |
| dc.identifier.scopus | 2-s2.0-85217399115 | |
| dc.identifier.uri | https://doi.org/10.1016/j.padiff.2025.101104 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9776 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier B.V. | en_US |
| dc.relation.ispartof | Partial Differential Equations in Applied Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Banach Fixed Point Theorems | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Multi-Order | en_US |
| dc.subject | Riemann–Liouville Fractional Derivatives | en_US |
| dc.subject | Uniqueness | en_US |
| dc.title | Existence of Solutions of Multi-Order Fractional Differential Equations | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Bouchelaghem F., High School of Management Sciences Annaba, Annaba, 23000, Algeria, Laboratory of Analysis and Control of Differential Equations “ACED”, Faculty MISM, Department of Mathematics, University of Guelma, Guelma, 24000, Algeria; Boulares H., Laboratory of Analysis and Control of Differential Equations “ACED”, Faculty MISM, Department of Mathematics, University of Guelma, Guelma, 24000, Algeria; Ardjouni A., Department of Mathematics and Informatics, Univ Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria; Jarad F., Department of Mathematics, Cankaya University, Etimesgut, Ankara, 06790, Türkiye, Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, 32093, Kuwait; Abdeljawad T., Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, 32093, Kuwait, Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia, Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Tamil Nadu, Chennai, 602105, India, Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, Medusa, 0204, South Africa; Abdalla B., Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia; Shah K., Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 101104 | |
| gdc.description.volume | 13 | en_US |
| gdc.description.wosquality | N/A | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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