Time-fractional diffusion equation with $$\psi $$-Hilfer derivative-Reference-Cited by-同舟云学术

Time-fractional diffusion equation with $$\psi $$-Hilfer derivative

Published:2022-07-05 Issue:6 Volume:41 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Vieira Nelson^ORCID,Rodrigues M. Manuela^ORCID,Ferreira Milton^ORCID

Funder

Fundação para a Ciência e a Tecnologia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-022-01911-5.pdf

Reference31 articles.

1. Abramowitz M, Stegun IA (1972) Handbook of mathematical functions with formulas, graphs, and mathematical tables. 10th printing. National Bureau of Standards. Wiley-Interscience Publication, Wiley, New York

2. Almeida R (2017) A Caputo fractional derivative of a function with respect to another function. Commun Nonlinear Sci Numer Simul 44:460–81. https://doi.org/10.1016/j.cnsns.2016.09.006

3. Ansari A (2019) Green’s function of two-dimensional time-fractional diffusion equation using addition formula of Wright function. Integral Transforms Spec Funct 30(4):301–315. https://doi.org/10.1080/10652469.2018.1564750

4. Atanacković T, Pilipović S, Zorica D (2009) Time distributed order diffusion-wave equation II. Application of Laplace and Fourier domains. Proc R Soc A 465:1893–1917. https://doi.org/10.1098/rspa.2008.0446

5. Boyadjiev L, Luchko Y (2017a) Multi-dimensional $$\alpha $$-fractional diffusion-wave equations and some properties of its fundamental solution. Comput Math Appl 73(12):2561–2572. https://doi.org/10.1016/j.camwa.2017.03.020

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Uniqueness of solutions for aψ-Hilfer fractional integral boundary value problem with thep-Laplacian operator;Demonstratio Mathematica;2023-01-01

2. Time-fractional telegraph equation of distributed order in higher dimensions with Hilfer fractional derivatives;Electronic Research Archive;2022