شماره ركورد كنفرانس :
5263
عنوان مقاله :
On a coupled system of pantograph problem with three sequential fractional q-derivatives
پديدآورندگان :
Nazari Somayeh mesamei@basu.ac.ir Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran. , Samei Mohammad Esmael mesamei@gmail.com Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan 65178-38695, Iran.
كليدواژه :
arbitrary fractional order , Caputo q , derivation , multi , step methods , nonlinear analysis , numerical direction
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
This paper aims to establish conditions for the existence, uniqueness and Ulam-Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives. Two results on the uniqueness and existence of solutions are proved to utilize the Leray-Schauder and Banach fixed point theorems and positive contraction-type inequalities. Also, the stability in the sense of Ulam-Hyers and Ulam-Hyers-Rassias are studied. In organize to clarify our comes almost, some illustrative cases are in addition displayed.
