Topological Methods for Differential Equations and Inclusions covers the important topics
involving topological methods in the theory of systems of differential equations. The …

The existence and uniqueness, boundedness, and continuous dependence of solutions for
fractional differential equations with Caputo fractional derivative is proven by Perov's fixed …

The main goal of this study is to demonstrate an existence result of a coupled implicit
Riemann-Liouville fractional integral equation. First, we prove a new fixed point theorem in …

In this paper, we discuss the existence and multiplicity of positive solutions for a system of
fractional differential equations with boundary condition and advanced arguments. The …

In this paper, we prove some fixed point theorems in vector algebra Banach spaces. We
establish the versions of Perov, Schauder and Krasnosel'skki type fixed point theorem for the …

The authors prove some random fixed point theorems for the sum of a weakly-strongly
continuous random operator and an expansive random operator in Banach spaces. They …

In this paper, we study the existence and uniqueness, continuous dependence on initial
conditions and the boundedness of solutions for a system of impulsive differential equations …

The present paper is devoted to the existence of solutions for implicit first order differential
systems with nonlocal conditions expressed by continuous linear functionals. The lack of …

In this work, we establish several results about the existence and uniqueness of solutions for
some classes of semilinear systems of difference equations with initial and boundary …

Vector-valued metrics in fixed point theory Page 162 Contemporary Mathematics Volume 636
, 2015 http://dx. doi. org/10.1090/conm/636/12734 Vector-Valued Metrics in Fixed Point Theory …