Existence and uniqueness results and analytical solution of the multi-dimensional Riesz space distributed-order advection–diffusion equation via two-step Adomian decomposition method-Reference-Cited by-同舟云学术

Existence and uniqueness results and analytical solution of the multi-dimensional Riesz space distributed-order advection–diffusion equation via two-step Adomian decomposition method

Published:2020-10-22 Issue: Volume: Page:
ISSN:0177-0667
Container-title:Engineering with Computers
language:en
Short-container-title:Engineering with Computers

Author:

Verma Pratibha,Kumar Manoj

Publisher

Springer Science and Business Media LLC

Subject

Computer Science Applications,General Engineering,Modelling and Simulation,Software

Link

https://link.springer.com/content/pdf/10.1007/s00366-020-01194-6.pdf

Reference26 articles.

1. Varlamov V (2010) Riesz Potential for Korteweg-de Vries Solitons and sturm-Liouville Problems. Int J Differ Equ 2010:18

2. Hassani H, Avazzadeh Z, Tenreiro MJA (2019) Numerical approach for solving variable-order space-time fractional telegraph equation using transcendental Bernstein series. Eng Comput. https://doi.org/10.1007/s00366-019-00736-x

3. Di Paola M, Zingales M (2008) Long-range cohesive interactions of non-local continuum faced by fractional calculus. Int J Solids Struct 45:5642–5659

4. Kilbas AA, Srivastava HM, Trujillo JJ (2006) Theory and applications of fractional differential equations. Elsevier, Amsterdam

5. Podlubny I (1999) Fractional differential equations. Academic Press, San Diego

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