New Iterative Approach for the Solutions of Fractional Order Inhomogeneous Partial Differential Equations
| dc.contributor.author | Nawaz, Rashid | |
| dc.contributor.author | Ahsan, Sumbal | |
| dc.contributor.author | Nisar, Kottakkaran Sooppy | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zada, Laiq | |
| dc.date.accessioned | 2022-07-07T11:45:58Z | |
| dc.date.accessioned | 2025-09-18T13:27:18Z | |
| dc.date.available | 2022-07-07T11:45:58Z | |
| dc.date.available | 2025-09-18T13:27:18Z | |
| dc.date.issued | 2021 | |
| dc.description | Nawaz, Rashid/0000-0002-4773-8446 | en_US |
| dc.description.abstract | In this paper, the study of fractional order partial differential equations is made by using the reliable algorithm of the new iterative method (NIM). The fractional derivatives are considered in the Caputo sense whose order belongs to the closed interval [0,1]. The proposed method is directly extended to study the fractional-order Roseau-Hyman and fractional order inhomogeneous partial differential equations without any transformation to convert the given problem into integer order. The obtained results are compared with those obtained by Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM), Laplace Variational Iteration Method (LVIM) and the Laplace Adominan Decomposition Method (LADM). The results obtained by NIM, show higher accuracy than HPM, LVIM and LADM. The accuracy of the proposed method improves by taking more iterations. | en_US |
| dc.description.sponsorship | Department of Mathematics of AWKUM | en_US |
| dc.description.sponsorship | Authors acknowledge help and support from the Department of Mathematics of AWKUM for completion of this work. | en_US |
| dc.identifier.citation | Zada, Laiq...et al. (2021). "New iterative approach for the solutions of fractional order inhomogeneous partial differential equations", AIMS Mathematics, Vol. 6, no. 2, pp. 1348-1365. | en_US |
| dc.identifier.doi | 10.3934/math.2021084 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85098721925 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2021084 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12883 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Order Roseau-Hyman Equation | en_US |
| dc.subject | Fractional Order Inhomogeneous System | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | New Iterative Method | en_US |
| dc.subject | Approximate Solutions | en_US |
| dc.title | New Iterative Approach for the Solutions of Fractional Order Inhomogeneous Partial Differential Equations | en_US |
| dc.title | New iterative approach for the solutions of fractional order inhomogeneous partial differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Nawaz, Rashid/0000-0002-4773-8446 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nawaz, Rashid/Lwj-0213-2024 | |
| gdc.author.wosid | Nisar, Kottakkaran/F-7559-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Zada, Laiq; Nawaz, Rashid; Ahsan, Sumbal] Abdul Wali Khan Univ Mardan, Dept Math, Khyber Pakhtunkhwa, Pakistan; [Nisar, Kottakkaran Sooppy] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung 40447, Taiwan | en_US |
| gdc.description.endpage | 1365 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | fractional order inhomogeneous system | |
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