On the local fractional wave equation in fractal strings

By Jagdev Singh, Devendra Kumar, Dumitru Băleanu, Sushila Rathore. Mathematical methods in the applied sciences, 2019

96 citations recorded by the source corpus.

The key aim of the present study is to attain nondifferentiable solutions of extended wave equation by making use of a local fractional derivative describing fractal strings by applying local fractional homotopy perturbation Laplace transform scheme. The convergence and uniqueness of the obtained solution by using suggested scheme is also examined. To determine the computational efficiency of offered scheme, some numerical examples are discussed. The results extracted with the aid of this technique verify that the suggested algorithm is suitable to execute, and numerical computational work is very interesting.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3e7c731f5e14626e571560a1582c54beb98f775a

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Citations in the corpus

Mathematical analysis of memristor through fractal‐fractional differential operators: A numerical study (2020, background): “In short, the study can be continued for the charming and effective role of fractional calculus but we include here recent attempt therein [20-31].”
A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets (2019, methodology): “The local fractional homotopy perturbation method (LFHPM) has been developed and applied to solve a class of local fractional partial differential equations [31,34].”