شماره ركورد كنفرانس :
5263
عنوان مقاله :
Existence of solutions for multi-point non-linear $q$-differential system of fractional orders
پديدآورندگان :
Haditalee Anita a.haditale@sci.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 :
system of fractional q , differential equations , Caputo q , derivation , multi , step methods , q , , RL integral
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
In this work, we study existence and uniqueness of solutions for multi-point boundary value problem of nonlinear fractional $q$-differential equations with two fractional derivatives. By using the variety of fixed point theorems, such as Banach s fixed point theorem, Leray-Schauder s nonlinear alternative and Leray-Schauder s degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.
