The purpose of this article is to introduce a new tempered sequence space and obtain the
measure of noncompactness in this space. Using the measure of noncompactness and …

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 …

In this article, we establish the existence of solution for two dimensional nonlinear fractional
integral equation using fixed point theorem and measure of noncompactness. Applicability …

We present a generalization of Darbo's fixed point theorem in this article, and we use it to
investigate the solvability of an infinite system of fractional order integral equations in ℓp (1≤ …

In the current article we obtain the extension of Darbo's fixed point theorem (DFPT), and
apply this theorem to prove the existence of solution of an infinite system of implicit fractional …

Fractional differential equations have been adopted for modeling many real-world problems,
namely those appearing in biological systems since they can capture memory and …

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 …

In this paper, we discuss solvability of infinite system of fractional integral equations (FIE) of
mixed type. To achieve this goal, we first use shifting distance function to establish a new …

We have established the solvability of fractional integral equations with both $(k, s) $-
Riemann-Liouville and Erd\'{e} lyi-Kober fractional integrals using a new generalized …

In this paper, the existence of the solutions of a class of weakly singular integral equations in
Banach algebra is investigated.‎ The basic tool used in investigations is the technique of the …