|
|
|
|
on the existence of solutions for nonlinear fractional q-difference equations with q-integralboundary conditions
|
|
|
|
|
|
|
|
نویسنده
|
etemad s. ,ettefagh m. ,rezapour sh.
|
|
منبع
|
journal of advanced mathematical studies - 2015 - دوره : 8 - شماره : 2 - صفحه:265 -285
|
|
چکیده
|
In this paper, we investigate the existence of solutions for nonlinear fractionalq-difference equation cdαq u(t) = f(t, u(t),dqu(t)) with the boundary value conditionsλ1u(0) +μ1dqu(0) = η1i^βq u(ξ1) and λ2u(1)+μ2dqu(1) = η2iw^βq u(ξ2), where 1 ≤ α ≤ 2,0 < q < 1 and cdαq denotes the fractional q-derivative of the caputo type of order α. byapplying the some fixed point theorems, we prove our main results. also, an example ispresented.
|
|
کلیدواژه
|
boundary value problem ,fractional riemann-liouville type q-integral ,fractional q-difference equation
|
|
آدرس
|
islamic azad university, tabriz branch, young researchers and elite club, ایران, islamic azad university, tabriz branch, college of science, department of mathematics, ایران, azarbaijan shahid madani university, department of mathematics, ایران
|
|
پست الکترونیکی
|
sh.rezapour@azaruniv.edu
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|