Results 41 to 50 of about 5,964,053 (112)

Lefschetz fixed point theorem for digital images [PDF]

, 2013
In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property.
Ozgur Ege, Ismet Karaca, Karaca, Ismet, Ege, Ozgur   +3 more
core   +1 more source

Uniqueness Results for Positive Solutions of Ψ–Caputo Fractional Differential Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper establishes rigorous existence and uniqueness results for positive solutions of boundary value problems involving the Ψ–Caputo fractional operator. The equations combine continuous nonlinear terms with Riemann–Liouville fractional integrals and are subject to newly formulated integral boundary conditions.
Hasan Rasouli, Yelda Küçükevcilioğlu
wiley   +1 more source

A Novel Discrete Approximation for Nonlinear Variable‐Order Hadamard Fractional BVP With Finite Delay via Measures of Noncompactness

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates a class of nonlinear boundary value problems (BVPs) for Hadamard‐type variable‐order (VO) fractional differential equations (FDEs) with delay. The VO framework poses substantial analytical challenges because several structural properties that are available for constant‐order (CO) fractional models are no longer directly ...
Insaf Naima Telli, Benoumran Telli, Mohammed Said Souid, Sabri T. M. Thabet, Taoufik Moulahi, Smritijit Sen   +5 more
wiley   +1 more source

On Katugampola Fractional Operator and Katugampola Pantograph Problems in Jα,β

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores and establishes solvability results for a nonlinear Katugampola fractional pantograph initial value problem formulated in the integral‐type Hölder space Jα,β. The constructed model blends generalized fractional dynamics with proportional delay terms, offering a unified setting for studying systems with memory‐dependent behavior.
Mohamed M. A. Metwali, Bandar Alreshidi, Shami A. M. Alsallami, Smritijit Sen   +3 more
wiley   +1 more source

An extension of Darbo’s fixed point theorem for a class of system of nonlinear integral equations

Advances in Difference Equations, 2020
We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani
Amar Deep, Deepmala, Jamal Rezaei Roshan, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +4 more
doaj   +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

Hyers–Ulam stability of a nonlinear fractional hybrid dynamic equations on arbitrary time scales via measures of noncompactness

Fixed Point Theory and Algorithms for Sciences and Engineering
This paper investigates different forms of Hyers–Ulam stability for solutions of a nonlinear fractional hybrid dynamic equation defined on arbitrary time scales.
Fahmida Nishat Yeasmin, Tazuddin Ahmed, Bikash Gogoi, Hijaz Ahmad, Osama Oqilat, Waleed Mohammed Abdelfattah   +5 more
doaj   +1 more source

An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this paper, our study focuses on exploring the solutions of a product of k‐hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well‐defined, and bounded solutions on the semi‐infinite interval.
A. M. A. El-Sayed, Sh. M. Al-Issa, Deepali   +2 more
wiley   +1 more source

On the Existence Results for a Mixed Hybrid Fractional Differential Equations of Sequential Type

Fractal and Fractional, 2023
In this article, we study the existence of a solution to the mixed hybrid fractional differential equations of sequential type with nonlocal integral hybrid boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem
Meraa Arab, Muath Awadalla, Murugesan Manigandan, Kinda Abuasbeh, Nazim I. Mahmudov, Thangaraj Nandha Gopal   +5 more
doaj   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source