Initial-Boundary Value Problems for Local Fractional Laplace Equation Arising in Fractal Electrostatics

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Authors

  • Xiao-Jun Yang Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, People’s Republic of China Author
  • H. M. Srivastava Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada Author
  • Dumitru Baleanu Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, TR-06530 Ankara, Turkey Author

DOI:

https://doi.org/10.5890/JAND.2015.11.002

Abstract

The initial-boundary value problems for the local fractional Laplace equation, which arises in fractal electrostatics, are investigated in this article. The non-differentiable solutions with different initial and boundary conditions are obtained by using the local fractional series expansion method.

References

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PublishedNovember 2015

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How to Cite

Yang, X.-J., Srivastava, H. M., & Baleanu, D. (2026). Initial-Boundary Value Problems for Local Fractional Laplace Equation Arising in Fractal Electrostatics. Journal of Applied Nonlinear Dynamics, 4(4), 349-356. https://doi.org/10.5890/JAND.2015.11.002