Abstract differential equations and Caputo fractional derivative

Author:

Carvalho-Neto P. M.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference15 articles.

1. Almeida, M.F., Ferreira, L.C.F.: Self-similarity, symmetries and asymptotic behavior in Morrey spaces for a fractional wave equation. Differ. Integral Equ. 25, 957–976 (2012)

2. de Andrade, B., Carvalho, A.N., Carvalho-Neto, P.M., Marín-Rubio, P.: Semilinear fractional differential equations: global solutions, critical non-linearities and comparison results. Topol. Methods Nonlinear Anal. 45, 439–467 (2015)

3. Arendt, W., Batty, C.J.K., Hieber, M., Neubrander, F.: Vector-Valued Laplace Transforms and Cauchy Problems, 2nd edn. Birkhäuser Basel (2011)

4. Carvalho-Neto, P. M.: Fractional Differential Equations: A Novel Study of Local and Global Solutions in Banach Spaces. Ph.D. Thesis, Universidade de São Paulo, São Carlos (2013)

5. Duan, J.-S., Chaolu, T., Rach, R.: Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach-Adomian-Meyers modified decomposition method. Appl. Math. Comput. 218, 8370–8392 (2012)

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