A Time-Fractional Borel–Pompeiu Formula and a Related Hypercomplex Operator Calculus

Author:

Ferreira M.,Rodrigues M. M.,Vieira N.ORCID

Funder

Fundação para a Ciência e a Tecnologia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference32 articles.

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2. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. 10th printing. National Bureau of Standards, Wiley, New York (1972)

3. Boyadjiev, L., Luchko, Y.: Multi-dimensional $$\alpha $$ α -fractional diffusion-wave equation and some properties of its fundamental solution. Comput. Math. Appl. 73(12), 2561–2572 (2017)

4. Boyadjiev, L., Luchko, Y.: Mellin integral transform approach to analyze the multidimensional diffusion-wave equations. Chaos Solitons Fractals 102, 127–134 (2017)

5. de Carvalho-Neto, P.M., Planas, G.: Mild solutions to the time fractional Navier–Stokes equations in $${\mathbb{R}}^n$$ R n . J. Differ. Equ. 259(7), 2948–2980 (2015)

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