Nonlinear implicit Caputo-Fabrizio fractional hybrid differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 164، دوره 14، شماره 1، فروردین 2023، صفحه 2091-2099 اصل مقاله (354.32 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24905.2849 | ||
| نویسنده | ||
| Nedjemeddine Derdar* | ||
| Department of Mathematics, Higher Normal School of Technological Education- Skikda, Algeria | ||
| 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. | ||
| کلیدواژهها | ||
| Implicit hybrid fractional differential equations؛ Caputo-Fabrizio fractional derivative؛ fixed point theorems؛ Gronwall's inequality؛ continuous dependence | ||
| مراجع | ||
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