TY - JOUR AU - A. Mugbil PY - 2023/05/10 Y2 - 2024/03/29 TI - Nonexistence results for a system of nonlinear fractional integro-differential equations JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 75 IS - 4 SE - Research articles DO - 10.37863/umzh.v75i4.6902 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6902 AB - UDC 517.9We 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., 152, 1–15 (2017)] and Ahmad and Tatar [Turkish J. Math., 43, 2715–2730 (2019)]. ER -