Nonlinear implicit Caputo-Fabrizio fractional hybrid differential equations

The present paper is mainly concerned with the existence, uniqueness, interval of existence and continuous dependence of solutions on initial conditions for nonlinear implicit Caputo-Fabrizio fractional hybrid differential equations. The results are obtained by using fractional calculus, contraction principle theorem and the Gronwall's inequality to show the estimate of the solutions. An example is given to illustrate the effectiveness of our main results.

کلیدواژه ها:

Implicit hybrid fractional differential equations ، Caputo-Fabrizio fractional derivative ، fixed point theorems ، Gronwall's inequality ، Continuous dependence