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 …

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 …

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 …

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} …

FORWARD DIFFERENCE OPERATOR OF THE SECOND KIND AND ITS APPLICATIONS IN
NUMBER THEORY Page 15 11 FORWARD DIFFERENCE OPERATOR OF THE SECOND …

RESEARCH ARTICLE Oscillatory Behaviors of Solutions of Riccati’S α-Difference Equation
Page 1 J. of Mod. Meth. in Numer. Math. eISSN: 2090-4770 pISSN: 2090-8296 Vol. 4, No. 1 …

In this paper, the authors discuss the asymptotic behavior of solutions of the generalized
nonlinear α-difference equation∆ α (ℓ)(p (k)∆ α (ℓ) u (k))+ f (k) F (u (k))= g (k),(0.1) k∈[a,∞) …