Existence of nonoscillatory solutions for fractional differential equations. (Chinese. English summary) Zbl 1474.34555
Summary: In this paper, the fractional functional differential equations with positive and negative coefficients \[D_t^\alpha[r (t)x (t) + P (t)x (t - \theta)]' - {q_1} (t){g_1} (x (t - \tau)) + {q_2} (t){g_2} (x (t - \sigma)) = h (t),\] were investigated. The Banach contraction principle was used to obtain new sufficient condition for the existence of nonoscillatory solutions.
MSC:
| 34K42 | Functional-differential equations on time scales or measure chains |
| 34K11 | Oscillation theory of functional-differential equations |
| 34K37 | Functional-differential equations with fractional derivatives |
