Solution to linear KdV and nonLinear space fractional PDEs | Zendy

Arman Aghili | Zendy

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Solution to linear KdV and nonLinear space fractional PDEs

Author(s) -

Arman Aghili

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.40360

Subject(s) - laplace transform , korteweg–de vries equation , mathematics , partial differential equation , nonlinear system , integral equation , mathematical analysis , integral transform , fourier transform , physics , quantum mechanics

In this work, the author will briefly discuss applications of the Fourier and Laplace transforms in the solution of certain singular integral equations and evaluation of integrals. By combining integral transforms and operational methods we get more powerful analytical tool for solving a wide class of linear or even nonlinear fractional differential or fractional partial differential equation. Numerous examples and exercises occur throughout the paper.

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