Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Subject: search.filters.subject.Local Fractional Derivative OperatorWoS Q: search.filters.wosQuartile.Q1

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Now showing 1 - 3 of 3
  • Review
    Local fractional Sumudu decomposition method for linear partial differential equations with local fractional derivative
    (2019) Ziane, D.; Baleanu, D.; Belghaba, K.; Hamdi Cherif, M.
    In the paper, a combined form of the Sumudu transform method with the Adomian decomposition method in the sense of local fractional derivative, is proposed to solve fractional partial differential equations. This method is called the local fractional Sumudu decomposition method (LFSDM) and is used to describe the non-differentiable problems. It would be interesting to apply LFSDM to some well-known problems to see the benefits obtained.
  • Article
    Local fractional Sumudu decomposition method for linear partial differential equations with local fractional derivative
    (Elsevier Science BV, 2019) Ziane, Djelloul; Baleanu, Dumitru; Belghaba, Kacem; Cherif, Mountassir Hamdi
    In the paper, a combined form of the Sumudu transform method with the Adomian decomposition method in the sense of local fractional derivative, is proposed to solve fractional partial differential equations. This method is called the local fractional Sumudu decomposition method (LFSDM) and is used to describe the non-differentiable problems. It would be interesting to apply LFSDM to some well-known problems to see the benefits obtained. (C) 2017 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license.
  • Article
    Citation - WoS: 24
    Citation - Scopus: 64
    A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets
    (Mdpi, 2019) Jassim, Hassan Kamil; Baleanu, Dumitru
    In this paper, we apply a new technique, namely, the local fractional Laplace homotopy perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This method is a combination of the local fractional Laplace transform (LFLT) and the homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.