In this manuscript, we introduce a new notion: a Berinde type (α, ψ)-contraction mapping.
Thereafter, we investigate not only the existence, but also the uniqueness of a fixed point of …

In this work, the KdV equation with conformable derivative and dual-power law nonlinearity
is considered. It is exceedingly used as a model to depict the feeble nonlinear long waves in …

In this paper, we consider initial value problems for two different classes of implicit ϕ-Hilfer
fractional pantograph differential equations. We use different approach that is based on α− ψ …

In this paper, we consider mappings with contractive iterates at a point. We introduce FS-
contractions in the sense of Wardowski and Seghal and FJ-contractions in the sense of …

The aim of this work is to establish a new fixed point theorem for generalized contraction
mappings with respect to w-distances in complete metric spaces. An illustrative example is …

The work addressed in this paper is the analytic investigation of the steady thin film flow of
non-Newtonian Johnson-Segalman fluid on vertical cylinder for lifting and drainage …

In this paper, we consider initial value problems for two different classes of implicit ϕ-Hilfer
fractional pantograph differential equations. We use different approach that is based on α− ψ …

The Mittag-Leffler function appears as an analytical solution of some fractional differential
equations. The behavior of the zeros of the Mittag-Leffler function, especially their asymptotic …

In this paper, we use the concept of homotopy, Laplace transform, and He's polynomials, to
propose the auxiliary Laplace homotopy parameter method (ALHPM). We construct a …

This paper discusses the existence and uniqueness of positive solutions for a periodic
boundary value problem of a fractional differential equation in an ordered Banach space E …