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Existence results on the higher order weighted Caputo-Fabrizio fractional derivative
  • chunshuo Li,
  • Qing Zhang,
  • Qiaoluan Li
chunshuo Li
Hebei Normal University

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Qing Zhang
Hebei Normal University
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Qiaoluan Li
Hebei Normal University
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Abstract

We define the higher order weighted Caputo-Fabrizio fractional derivative of Caputo sense, and study main properties of the higher order weighted Caputo-Fabrizio fractional derivative and integral. In addition, we establish existence of solutions for nonlinear equations using Schaefer’s fixed point theorem, $\alpha$-$\psi$-Contraction theorem, ect. Finally, we test our obtained results through three examples.