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An Efficient Algorithm for Solving Nonlinear Systems of Partial Differential Equations with Local Fractional Operators

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2019

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Univ Punjab

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Abstract

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.

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Local Fractional Derivative Operator, Local Fractional Sumudu Decomposition Method, Nonlinear Systems of Local Fractional Partial Differential Equations

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Citation

Ziane, Djelloul...et al. (2019). "An Efficient Algorithm for Solving Nonlinear Systems of Partial Differential Equations with Local Fractional Operators", Punjab Unıversity Journal of Mathematics, Vol. 51, No. 9, pp. 85-99.

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Punjab Unıversity Journal of Mathematics

Volume

51

Issue

9

Start Page

85

End Page

99