Abstract
UDC 517.9
We investigate the nonexistence of (nontrivial) global solutions for a system of nonlinear fractional equations. Each equation involves
n
fractional derivatives, a subfirst-order ordinary derivative, and a nonlinear source term. The fractional derivatives are of the Caputo type of order between
0
and
1.
The nonlinear sources have the form of the convolution of a function of state with (possibly singular) kernel. We generalize the results available in the literature, in particular, the results obtained by Mennouni and Youkana [Electron. J. Different. Equat., <strong>152</strong>, 1–15 (2017)] and Ahmad and Tatar [Turkish J. Math., <strong>43</strong>, 2715–2730 (2019)].
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science