An Efficient Algorithm for Solving Nonlinear Systems of Partial Differential Equations with Local Fractional Operators
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Date
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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Source
Punjab Unıversity Journal of Mathematics
Volume
51
Issue
9
Start Page
85
End Page
99