In this paper, the authors extend the theory of the generalized difference operator Δℓ to the
generalized difference operator of the n th kind denoted by Δ L, where L={ℓ1, ℓ2,..., ℓ n} of …

In this article, the authors discuss ℓ 2 (ℓ) and c 0 (ℓ) solutions of the second order
generalized difference equation Δ ℓ 2 u (k)+ f (k, u (k))= 0, k∈[a,∞), a> 0 and we prove the …

In this paper, the authors discuss the oscillation, nonoscillation and growth of the solutions of
the generalized nonlinear α-difference equation α (ℓ)(p (k) α (ℓ) u (k))+ f (k) F (k, u (k), α (ℓ) u …

In this paper, the authors extend the theory of the generalized difference operator∆ ℓ and the
second kind∆ ℓ1, ℓ2 to the generalized difference operator of the third kind∆ ℓ1, ℓ2, ℓ3 for the …

In this paper, the authors discuss the oscillatory and nonoscillatory behaviour of solutions of
some generalized mixed difference equations of the form∆ 2 ℓ (∆ α (ℓ) u (k))+ δp (k) u (k)= 0 …

ASYMPTOTIC PROPERTIES OF SOLUTIONS OF HIGHER ORDER NONLINEAR GENERALIZED
α-DIFFERENCE EQUATIONS Page 1 Far East Journal of Mathematical Sciences (FJMS) © 2014 …

Sum of fractional series through extended q-difference operators Page 1 Malaya Journal of
Matematik, Vol. 9, No. 1, 465-469, 2021 https://doi.org/10.26637/MJM0901/0078 Sum of …

In this paper, the authors discuss the oscillation and non oscillation for generalized neutral α-
difference equation∆ α (ℓ)(u (k)+ pu (k− τℓ))+ q (k) u (k− σℓ)= 0, k∈[0,∞),(1) where p is a …

In this paper, the authors discuss the asymptotic and oscillatory behavior of solutions of the
nonlinear generalized α− difference equation∆ α (ℓ)(p (k)∆ α (ℓ)(u (k)+ q (k) u (k− ρ)))+ t (k) f …

The theory of difference equations is based on the operator∆ defined as∆ x (n)= x (n+ 1)-x
(n), n∈ N(1) where N= 10, 1, 2, 3,···, l. Eventhough many authors [1, 2] have suggested the …