TY  - JOUR
T1  - Sönüm Terimli Caputo Kesirli Fark Denklemlerinin Salınımlılığı
TT  - Oscillation of Caputo Fractional Difference Equations with Damping Term
AU  - Öztürk, Sermin
AU  - Yalçın Uzun, Tuğba
AU  - Öz, Hüsniye
PY  - 2021
DA  - February
DO  - 10.35414/akufemubid.803511
JF  - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi
PB  - Afyon Kocatepe University
WT  - DergiPark
SN  - 2149-3367
SP  - 106
EP  - 112
VL  - 21
IS  - 1
LA  - tr
AB  - Bu makalede, α∈(n-1,n) bir sabit (n∈〖N) ∆〗_C^α x, x’in α-yıncı mertebeden kesirli Caputo kesirli fark operatörü ve N_0={0,1,2,…} olmak üzere,  ∆^k ├ x(t)┤|_(t=0)=x_k,k=1,2,…,n-1 başlangıç şartına sahip (1+p(t))∆(∆_C^α x(t))+p(t) ∆_C^α x(t)+f(t,x(t))=g(t),t∈N_0  ile verilen ikinci taraflı sönüm terimli kesirli fark denkleminin salınımlılığı için bir yeter şart elde edilmiştir. Bu çalışma için “p(t) ve g(t) reel fonksiyonlar, p(t)>-1,f:N_0×R⟶R    ve x≠0,t_0∈N_0” önermesi geçerlidir. Makalenin sonunda açıklayıcı bir örnek verilmiştir.
KW  - Salınımlılık
KW  - İkinci taraflı kesirli fark denklemi
KW  - sönüm terimi
KW  - Caputo fark operatörü
N2  - In this paper, we obtain a sufficent condition for the oscillation of forced fractional difference equations with damping term of the form (1+p(t))∆(∆_C^α x(t))+p(t) ∆_C^α x(t)+f(t,x(t))=g(t),t∈N_0  with initial condition ∆^k ├ x(t)┤|_(t=0)=x_k,k=1,2,…,n-1 where α∈(n-1,n) is a constant (n∈N), ∆_C^α x is the Caputo fractional difference operator of order α of x and N_0={0,1,2,…}. For this study, the proposition “p(t) and g(t) are real functions, p(t)>-1,f:N_0×R⟶R  and x≠0,t_0∈N_0” is held. An illustrative example is given at the end of the paper.
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UR  - https://doi.org/10.35414/akufemubid.803511
L1  - https://dergipark.org.tr/en/download/article-file/1321732
ER  -