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1. A New Approach to the Generalization of Darbo’s Fixed Point Problem by Using Simulation Functions with Application to Integral Equations

   We investigate the existence of fixed points of self-map**s via simulation functions and measure of noncompactness. We use different classes of...

   Mehdi Asadi, Moosa Gabeleh, Calogero Vetro in Results in Mathematics

   Article 10 April 2019

2. Finite-time attractivity for semilinear tempered fractional wave equations

   We prove the existence and finite-time attractivity of solutions to semilinear tempered fractional wave equations with sectorial operator and...

   Tran Dinh Ke, Nguyen Nhu Quan in Fractional Calculus and Applied Analysis

   Article 01 December 2018

3. Noncompactness Measure and Fixed Points for Multi-Valued Functions on Uniform Spaces

   Some concepts, such as non-compactness measure and condensing operators, defined on metric spaces are extended to uniform spaces. Such extensions...

   Raúl Fierro in Mediterranean Journal of Mathematics

   Article 26 April 2018

4. Existence and Dependence Results for Semilinear Functional Stochastic Differential Equations with Infinite Delay in a Hilbert Space

   Using techniques of measures of noncompactness, we prove existence, uniqueness, and dependence results for semilinear stochastic differential...

   Lahcene Guedda, Paul Raynaud de Fitte in Mediterranean Journal of Mathematics

   Article 09 June 2016

5. L ^P -solutions for fractional integral equations

   In this article, we examine L ^p -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using...

   Sadia Arshad, Vasile Lupulescu, Donal O’Regan in Fractional Calculus and Applied Analysis

   Article 28 December 2013

6. Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces

   The aim of this paper is to establish the existence of decay integral solutions to a class of retarded fractional differential equations involving...

   Tran Dinh Ke, Do Lan in Fractional Calculus and Applied Analysis

   Article 28 December 2013

7. Weak compactness and the Eisenfeld-Lakshmikantham measure of nonconvexity

   In this article, weakly compact subsets of real Banach spaces are characterized in terms of the Cantor property for the Eisenfeld-Lakshmikantham...

   Isabel Marrero in Fixed Point Theory and Applications

   Article Open access 16 January 2012

8. Fuzzy fractional integral equations under compactness type condition

   In this paper we study a fuzzy fractional integral equation. The fractional derivative is considered in the sense of Riemann-Liouville and we...

   Ravi P. Agarwal, Sadia Arshad, ... Vasile Lupulescu in Fractional Calculus and Applied Analysis

   Article 29 September 2012

9. Generalizing the Krein–Rutman theorem, measures of noncompactness and the fixed point index

   If L : Y → Y is a bounded linear map on a Banach space Y , the “radius of the essential spectrum” or “essential spectral radius” ρ ( L ) of L is...

   John Mallet-Paret, Roger D. Nussbaum in Journal of Fixed Point Theory and Applications

   Article 28 April 2010