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 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 …

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 …

The theory and some applications of the generalized difference operator∆ ℓ defined as∆ ℓ u
(k)= u (k+ ℓ)− u (k), k∈[0,∞) and ℓ∈(0,∞) had been developed in [2]. The generalized …

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

In this chapter, the authors extend the theory of the generalized difference Operator∆ L to the
generalized difference operator of the n^ thkind denoted by∆ L Where L= L={l_1, l_2,…. l_n} …