Arab Journal of Mathematical Sciences: Volume 27 Issue 2 , Open Access

Further study on the Brück conjecture and some non-linear complex differential equations

Dilip Chandra Pramanik, Kapil Roy

The purpose of this current paper is to deal with the study of non-constant entire solutions of some non-linear complex differential equations in connection to Brück conjecture…

On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4

Mehdi Jamshidi, Farshid Saeedi, Hamid Darabi

The purpose of this paper is to determine the structure of nilpotent (n+6)-dimensional n-Lie algebras of class 2 when n≥4.

Further fresh and general traveling wave solutions to some fractional order nonlinear evolution equations in mathematical physics

Tarikul Islam, Armina Akter

Fractional order nonlinear evolution equations (FNLEEs) pertaining to conformable fractional derivative are considered to be revealed for well-furnished analytic solutions due to…

Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces

Sushanta Kumar Mohanta

In this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of…

Multistep-type construction of fixed point for multivalued ρ-quasi-contractive-like maps in modular function spaces

Hudson Akewe, Hallowed Olaoluwa

In this paper, the explicit multistep, explicit multistep-SP and implicit multistep iterative sequences are introduced in the context of modular function spaces and proven to…

Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces

Godwin Amechi Okeke, Daniel Francis

The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces. The authors…

Existence of positive solutions for p-Laplacian systems involving left and right fractional derivatives

Samira Ramdane, Assia Guezane-Lakoud

The paper deals with the existence of positive solutions for a coupled system of nonlinear fractional differential equations with p-Laplacian operator and involving both right…

A direct computation of a certain family of integrals

Lorenzo Fornari, Enrico Laeng, Vittorino Pata

The authors propose a rather elementary method to compute a family of integrals on the half line, involving positive powers of sin x and negative powers of x, depending on the…