Matematik Bölümü Yayın Koleksiyonu

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

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Department: search.filters.department.Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik BölümüSubject: search.filters.subject.Local Fractional Sumudu Decomposition Method

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  • 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
    An Efficient Algorithm for Solving Nonlinear Systems of Partial Differential Equations with Local Fractional Operators
    (Univ Punjab, 2019) Ziane, Djelloul; Cherif, Mountassir Hamdi; Baleanu, Dumitru; Belghaba, Kacem; Al Qurashi, Maysaa Mohamed
    The aim of the present study is to extend the local fractional Sumudu decomposition method (LFSDM) to resolve nonlinear systems of partial differential equations with local fractional derivatives. The derivative operators are taken in the local fractional sense. The LFSDM method provides the solution in a rapid convergent series, which may lead the non-differentiable solution in a closed form, this makes them an appropriate method for similar problems. We have provided some examples to confirm their flexibility in solving these types of systems.