In this paper, we formulate a new set of sufficient conditions for the approximate
controllability of fractional evolution stochastic integrodifferential delay inclusions of order …

In this work, we examine the solvability of non-linear 2D Volterra integral equations through
Petryshyn fixed point theorem in Banach space C ([0, c]×[0, d]). Our work covers many …

In this paper, the conditions for the existence of a solution for fractional stochastic functional
integral in Banach space are investigated. For this purpose, the concept of noncompactness …

By utilizing the technique of Petryshyn's fixed point theorem in Banach algebra, we examine
the existence of solutions for fractional integral equations, which include as special cases of …

This paper discusses the existence of a solution for the system of integro-differential
equations. By using a certain measure of noncompactness through the generalized Darbo …

We demonstrate some properties of Hadamard fractional operators such as boundedness,
monotonicity, continuity, and acting conditions in Orlicz spaces L φ. We apply these …

Using the method of Petryshyn's fixed point theorem in Banach algebra, we investigate the
existence of solutions for functional integral equations, which involves as specific cases …

This paper provides sufficient conditions for the existence of a solution for some classes of
integro-differential equations in unbounded domains. The investigation successfully applies …

We examine the solvability of fractional integral equations using the techniques of measure
of noncompactness and the Petryshyn's fixed-point theorem in Banach space concerning …

This paper explores a 2D non-linear fractional integral equation of the Riemann–Liouville
type. The authors establish the existence of at least one solution for this 2D integral equation …