dc.contributor.author |
Zada, Laiq
|
|
dc.contributor.author |
Nawaz, Rashid
|
|
dc.contributor.author |
Ahsan, Sumbal
|
|
dc.contributor.author |
Nisar, Kottakkaran Sooppy
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.date.accessioned |
2022-07-07T11:45:58Z |
|
dc.date.available |
2022-07-07T11:45:58Z |
|
dc.date.issued |
2021 |
|
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. |
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dc.identifier.issn |
2473-6988 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/5723 |
|
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. © 2021 the Author(s), licensee AIMS Press. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.3934/math.2021084 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Approximate Solutions |
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dc.subject |
Fractional Calculus |
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dc.subject |
Fractional Order Inhomogeneous System |
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dc.subject |
Fractional Order Roseau-Hyman Equation |
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dc.subject |
New Iterative Method |
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dc.title |
New iterative approach for the solutions of fractional order inhomogeneous partial differential equations |
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dc.type |
article |
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dc.relation.journal |
AIMS Mathematics |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
6 |
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dc.identifier.issue |
2 |
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dc.identifier.startpage |
1348 |
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dc.identifier.endpage |
1365 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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