ON COUPLED SYSTEM OF NONLINEAR HYBRID DIFFERENTIAL EQUATION WITH ARBITRARY ORDER
Journal Title: Matrix Science Mathematic | Matriks Sains Matematik (MSMK) - Year 2017, Vol 1, Issue 2
Abstract
This paper is devoted to the study of the existence of solution to the following toppled system: ()0( ), ()1( ). ()0( ), ()1( ), ,()([ )] (,( ), ,)),( ,()([ )] (,( ), ,)),( 11 22 11 22 yyyy xxxx tftyD yt JttxItxtg tftxD xt JttyItytg Where D stands for Cupoto fractional derivative of order , where 21 , J 1,0[ ], and the functions : fRRRJf 0)0,0(, and : RRRJg satisfy certain conditions. The proof of the existence theorem is based on a coupled fixed-point theorem of Krasnoselskii type, which extends a fixed-point theorem of Burton. Finally, our results are illustrated by a concrete example.
Authors and Affiliations
Sajad Ali Khan, Kamal Shah, Rahmat Ali Khan
Keywords
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- EP ID EP263701
- DOI 10.26480/msmk.02.2017.11.16
- Views 86
- Downloads 0
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