Article of the Year 2020
The Role of Control Measures and the Environment in the Transmission Dynamics of CholeraRead the full article
Abstract and Applied Analysis publishes research with an emphasis on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimisation theory, and control theory.
Chief Editor, Dr Wong, is an associate professor at Nanyang Technological University, Singapore. Her research interests include differential equations, difference equations, integral equations, and numerical mathematics.
Latest ArticlesMore articles
Some Special Ruled Surfaces Generated by a Direction Curve according to the Darboux Frame and their Characterizations
In this work, we consider the Darboux frame of a curve lying on an arbitrary regular surface and we construct ruled surfaces having a base curve which is a -direction curve. Subsequently, a detailed study of these surfaces is made in the case where the directing vector of their generatrices is a vector of the Darboux frame, a Darboux vector field. Finally, we give some examples for special curves such as the asymptotic line, geodesic curve, and principal line, with illustrations of the different cases studied.
Fixed Point Theorems for -Contraction Multivalued Mappings in -Metric Space
We present the concept of -contractive multivalued mappings in -metric spaces and prove some fixed point results for these mappings in this study. Our results expand and refine some of the literature’s findings in fixed point theory.
Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in
In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in . It concerns Partner ruled surfaces, Partner ruled surfaces, and Partner ruled surfaces. We aim to study the simultaneous developability conditions of each couple of two Partner ruled surfaces. Finally, we give an illustrative example for our study.
A Source Problem for the Helmholtz Equation via a Dirichlet-to-Neumann Map
In this paper, we consider a source problem for a time harmonic acoustic wave in two-dimensional space. Based on the boundary integral equation method, a Dirichlet-to-Neumann map in terms of boundary integral operators on the boundary of the source is constructed to transform this problem into two boundary value problems for the Helmholtz equation.
On Two Banach-Type Fixed Points in Bipolar Metric Spaces
In this article, we propose two Banach-type fixed point theorems on bipolar metric spaces. More specifically, we look at covariant maps between bipolar metric spaces and consider iterates of the map involved. We also propose a generalization of the Banach fixed point result via Caristi-type arguments.
The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the -Function
In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with -function as the kernel. In addition, on account of -function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters.