Nonlinear implicit Caputo-Fabrizio fractional hybrid differential equations

نویسندگان

1 Department of Mathematics, Higher Normal School of Technological Education- Skikda, Algeria

doi
10.22075/ijnaa.2022.24905.2849
چکیده

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.