We give some results concerning stability in the Fredholm operators and Browder operators set, via the concept of measure of noncompactness. Moreover, we prove some localization results on the essential spectra of bounded operators on Banach space. As application, we describe the essential spectra of weighted shift operators. Finally, we describe the spectra of polynomially compact operators, a...

In this paper, some hybrid fixed point theorems for the right monotone increasing multi-valued mappings in ordered Banach spaces are proved via measure of noncompactness and they are further applied to the neutral functional nonconvex differential inclusions involving discontinuous multi-functions for proving the existence results under mixed Lipschitz, compactness and right monotonicity condit...

In this paper, we consider a nonlinear third-order three-point boundary value problem and give the existence uniqueness of solutions by constructing Green’s function using its properties. The methods used here are based on Darbo’s fixed point theorem combined with technique measure noncompactness. Finally, as applications, two examples given to illustrate our main results.

Abstract In this paper, we present the definitions of fractional integrals and derivatives a Pettis integrable function with respect to another function. This concept follows idea Stieltjes-type operators should allow us study using methods known from measure differential equations in abstract spaces. We will show that some well-known properties calculus for space Lebesgue functions also hold t...

the present study aimed to determine awareness of tehran residents of seven warning signs of cancer, and application of protective measures against cancer. 2500 residents of tehran were selected through systematic cluster random sampling. data collection tool consisted of a questionnaire, comprising 3 sections of demographic details, awareness of warning signs of cancer, and application of prot...

The principal goal of this work is to solvability the mild solution for second‐order hyperbolic PDE with initial/boundary‐value problem nonlocal condition form where open. Our analysis relies on technique measure noncompactness.

The purpose of this work is to consider an initial value problem for neutral functional diierential equations with state dependent and vanishing delays. A gener-alised version of Schauder's xed point theorem which is based on the ball measure of noncompactness is used to obtain local existence of solutions and a comparison theorem. Results on continuation, uniqueness and continuous dependence o...

The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our ...