A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients

Theory of Approximation and Applications

مقاله 5، دوره 11، شماره 2، اسفند 2017، صفحه 73-87   

نوع مقاله: Research Articles

نویسندگان

S Siah-Mansouri¹؛ O. Solaymani Fard^{* 2}؛ M. M. Gachpazan¹

¹Department of Applied Mathematics, Faculty of Mathematics Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.

²Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan.

چکیده

This paper we investigate the existence and uniqueness of solutions to fuzzy
dierential equations driven by Liu's process. For this, it is necessary to provide
and prove a new existence and uniqueness theorem for fuzzy dierential equations
under weak Lipschitz condition. Then the results allows us to consider
and analyze solutions to a wide range of nonlinear fuzzy dierential equations
driven by Liu's process.